In the triangles, GK PN and HG 2MP.
Which statement correctly compares the angles?
H
M
Angle G is congruent to angle P.
O Angle G is smaller than angle P.
O Angle G is larger than angle P.
O Angle G is congruent to angle N.
32 cm
40 cm
G
K
P
N

In The Triangles, GK PN And HG 2MP.Which Statement Correctly Compares The Angles?HMAngle G Is Congruent

Answers

Answer 1

Answer:

G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°

Answer 2

The statement which correctly compares the angles is Angle G is smaller than angle P.

What is Congruence of Triangles?

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given are two triangles.

Given that,

GK is congruent to PN.

HG is congruent to MP.

Also, given that,

HK = 32 cm and MN = 40 cm

Angle G is opposite to the side HK.

Angle P is opposite to the side MN.

Angles opposite to the greater side will be greater.

So angle P is greater than angle G

Or, angle G is smaller than angle P.

Hence, Angle G is smaller than angle P.

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Related Questions

Can someone help me with this question? Workings would be appreciated :] Adrian, Ben and Charlie share some sweets in the ratio 8:5:10 Charlie got 20 more sweets than Adrian. Work out the total amount of sweets.

Answers

Answer: 230 - the total amount of sweets.

Step-by-step explanation:

Adrian received 8 pieces of sweets;

Ben got 5 pieces of sweets;

Charlie received 10 pieces of sweets.

The sum of all parts:

8 + 5 + 10 = 23

Let's calculate how many parts Charlie got more than Adrian:

10 - 8 = 2

It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.

20 : 2 = 10

Now we can calculate the total amount of sweets:

10 × 23 = 230

Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34

Answers

Answer: d. $16.34

Step-by-step explanation:

The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.

Luce therefore has a federal tax of $86 as she falls in the bracket described.

If state tax is 19% of this, state tax is:

= 19% * 86

= $16.34

The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.

What is federal income tax?

Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there  .

A 9-column table with 7 rows is given in the prooblem.

Luce is single and making $763 biweekly. She claims no federal withholding allowances.

This amount is come between the values of $760 and $780.  If we look into the table provided into the problem, the federal tax for this slab is $86.  

Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,

[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]

Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.

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James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned​

Answers

Answer:

30 hectares

Step-by-step explanation:

Answer:

Step-by-step explanation:

Land area James inherited = 19.5 hectares

The area of the land he inherited is 65% of the total land his father owned.

Let

x = Total land his father owned

Land area James inherited = 65% of the total land his father owned

19.5 = 65% of x

19.5 = 65/100 * x

19.5 = 0.65 * x

19.5 = 0.65x

x = 19.5 / 0.65

x = 30

x = Total land his father owned = 30 hectares

The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and
width of the TV? PLEASE HURRY

Answers

Answer:

D

Step-by-step explanation:

30-60-90

Hypotenuse = 26

one side is half.

the other side is 1/2[tex]\sqrt{3}[/tex]

PLEASE HELP IMAGE IS BELOW!!

Answers

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than

Answers

Answer:

Option C.

Step-by-step explanation:

Answer:

C.    greater than

Step-by-step explanation:

Since 8/7 is greater than 1

multiply it by 12 will result in a larger number.

I need helpppppp cause I’ll make ur bra list of however u spell it

Answers

Answer:

DBH

Step-by-step explanation:

#1

Initial Price = 100% = 18

Discount = 15% = x

0.15 ( 18 ) = 0.15 * 18 = 2.7

Discount = $2.7 or $2.70

Letter = D

#2

Initial Price = 100% = 450

Markup = 20% = x

0.20 ( 450 ) = 1/5 of 450 = 90

Markup = $90

Letter = B

#3

Initial Payment = 100% = 37.60

Tip = 15% = x

0.15 ( 37.60 ) = 0.15 * 37.60 = 5.64

Tip = $5.64

Letter = H

Your Code = DBH

If my answer is incorrect, pls correct me!

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-Chetan K

complete the table of values for y=2x+3

Answers

ANSWER:
x: -2, -1, 0, 1, 2
y: -1, 1, 3, 5, 7
:)

1. What is the value of the digit 7 in the number 176 354?​

Answers

Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

Answer:

tens of thousands

Step-by-step explanation:

Algebra 2 Problem! Rational Roots

Answers

Answer:

este no hablo inglés

help meeeeeeeee plssss

Answers

Answer:

5.16 m

Step-by-step explanation:

[tex] \cos( \alpha ) = \frac{bc}{x} \\ \cos(29) = \frac{bc}{5.9} \\ bc = 5.9 \cos(29) \\ bc = 5.16 m[/tex]

what is the domain of the function represented by the graph

Answers

Answer:

Domain:  all real numbers

Step-by-step explanation:

The domain is the values that x can take

X can be any real number

Domain:  all real numbers

Will give BRAINLIEST to the correct answer!!!


Find the values of sin 0, cos 0, and tan 0 for the given right triangle. Give the exact values.

Answers

Here is a key that showed up online

Answer:

the length of adjacent =√25²-24²=√49=7

sin 0 = 24/25

cos 0 = 7/25

tan 0 = 24/7

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

Answers

Question

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

Answer

[tex]x = 60[/tex]

Explanation

[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]

[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]

convert decimal to fraction: x= 54 / 9 / 10

[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]

[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]

[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]

[tex] \sf \: common \: factor : x = 6 \times 10[/tex]

[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]

[tex] \sf{ \boxed{answer : x = 60}}[/tex]

What is the image point (-5,3) if it is translated 3 units right and 2 units down

Answers

Our point is at -5, 3. -5 represents its x coordinate, and 3 represents its y coordinate. 3 units right makes it -2, while 2 units down makes it 1. Final coords of the point are (-2,1).

Answer:

given point is (-5,3)

right unit means positive and down unit means negative so,

image of (-5,3)---------->(-5+3-2,3+3-2)

=>(-7+3,6-2)

=>(-4,4) ANS.

The solutions of x^2=16x-28 are

Answers

Answer:

the solutions of x^2=16x-28 are

2) 2 and 14

Which of the following is the solution set for -3t + 11 > 20?

t < 3
t > 3
t < -3
t > -3

Answers

Answer:

t < -3

Step-by-step explanation:

-3t + 11 > 20

subtract 11 from both sides

-3t > 9

Divide both sides by -3

when multipying or dividing by a negative the inequality must be reversed

t < -3

Cos100x+4/3=0.............

Answers

answer:

[tex]{ \tt{ \cos(100x) + \frac{4}{3} = 0}} \\ { \tt{ \cos(100x) = - \frac{4}{3} }} \\ { \tt{100x = { \cos }^{ - 1} ( - \frac{4}{3} )}} \\ { \tt{invalid \: answer}}[/tex]

find the quotient of this ​

Answers

Answer:

3.02 is the answer for this question if the answer is correct plz mark me as brainliest

Answer:

3.02

Step-by-step explanation:

51.34 ÷ 17 = 3.02

simplify 5x-26y+7x+32y

Answers

5x+7x-26y+32y
12x+6y
6(2x+y)

Select the two values of x that are roots of this equation. x2 + 3x - 3 = 0

A. X- 2
B. X = -3 +721 2
C. x. -3-1
D. x. -3-17​

Answers

Answer:

B and D

Step-by-step explanation:

En el subnivel basica superior de la unidad manuela cañizares el numero de estudiantes que se alimentan de forma inadecuada ( grasa saturada ) el triple del numero de estudiantes que consumen alimentos saludables menos 8. Si existen 392 estudiantes entre los que consumen alimentos sludables y los que no se alimentan de forma adecuada palntea una ecuacion y determina ¿cuantos estudiantes se alimentan de manera saludable y cuantos estudiantes se alimentan inadecuadamente?

Answers

Answer:

La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.

Step-by-step explanation:

Existen 392 estudiantes entre los que consumen alimentos saludables y los que no se alimentan de forma adecuada. Esto es:

Estudiantes que se alimentan adecuadamente + Estudiantes que no se alimentan adecuadamente= 392

El numero de estudiantes que se alimentan de forma inadecuada es el triple del número de estudiantes que consumen alimentos saludables menos 8. El triple de un número se calcula multiplicando el número por 3. Entonces, siendo x la cantidad de estudiantes que se alimentan adecuadamente, la cantidad de estudiantes que no se alimentan adecuadamente se puede calcular como: 3*x - 8

Por lo que:

x + 3*x - 8= 392

Resolviendo:

x + 3*x= 392 + 8

4*x= 400

x= 400÷4

x= 100

Entonces: 3*x - 8= 3*100 -8= 300 - 8= 292

La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.

The volume of a cube is 270cm cubed. Work out the length of its side rounded to 1 DP

Answers

Answer:

a ≈ 6.5 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cube Formula: V = a³

a is a side length

Step-by-step explanation:

Step 1: Define

Identify

V = 270 cm³

Step 2: Solve for a

Substitute in variables [Volume of a Cube Formula]:                                     270 cm³ = a³[Equality Property] Cube root both sides:                                                        6.4633 cm = aRewrite:                                                                                                              a = 6.4633 cmRound:                                                                                                                  a ≈ 6.5 cm

Answer:

The length of it's side is 6.5 cm.

Step-by-step explanation:

Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.

To find the length of its side we apply the formula ; Volume of cube and then simplify .

Volume of cube = ( a )³

Where , a is the length of side and Volume of cube have given in the question which is 270cm³ .

plug the values

270 cm ³ = a³

Taking cube root of both side

[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]

6.4633 cm = a

Rewrite

a = 6.4633 cm

Round nearest to 1DP

a ≈ 6.5 cm

Hence , Length of it's side is 6.5 cm.

a) vẽ đồ thị hàm số y=2x-3(d1)

b) tìm toạ độ giao điểm B của (d1) với (P):y=x^2

c)tìm m để đường thẳng (d2):y=(m-1)x-m-3 đi qua B

Answers

Answer:

Step-by-step explanation:

The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.

Answers

I believe the answer is 15 but trying to pass

express as a single faction
[tex] \frac{x} {4} + \frac{x}{4} [/tex]

Answers

[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]

[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]

[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

I hope you understood!✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]

Which of the following is the solution to the inequality below?
-6(4 - x) S-4(x + 1)
O A. x210
O B. x5 10
O C.x22
O D. x52

Answers

Answer:

x≤2

Step-by-step explanation:

-6(4 - x) ≤-4(x + 1)

Distribute

-24 +6x≤ -4x-4

Add 4x to each side

-24 +6x+4x≤-4x-4+4x

-24 +10x≤ -4

add 24 to each side

-24+10x+24≤-4+24

10x≤20

Divide by 10

10x/10 ≤20/10

x≤2

Answer:

D. x ≤ 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-6(4 - x) ≤ -4(x + 1)

Step 2: Solve for x

[Distributive Property] Distribute -6:                                                                 -24 + 6x ≤ -4(x + 1)[Distributive Property] Distribute -4:                                                                -24 + 6x ≤ -4x - 4[Addition Property of Equality] Add 4x on both sides:                                    -24 + 10x ≤ -4[Addition Property of Equality] Add 24 on both sides:                                  10x ≤ 20[Division Property of Equality] Divide 10 on both sides:                                 x ≤ 2

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

What expression represents the profit?

27x – 650
27x + 390
33x – 650
33x + 390

Answers

The expression which represents the profit is 33x + 390, the correct option is D.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The polynomial= 2x3 + 30x – 130

The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.

Now,

To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:

profit = revenue - cost

profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)

profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520

profit = 33x + 390

Therefore, the expression will be 33x + 390.

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Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared?

Answers

Answer:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Step-by-step explanation:

Given

[tex]\log_5(\frac{x}{4})^2[/tex]

Required

The equivalent expression

To do this, we apply the following law of indices:

[tex]\log_a(b)^c = c\log_a(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(\frac{x}{4})[/tex]

To further simplify:

[tex]\log(\frac{a}{b}) = \log(a) - \log(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2(\log_5(x) - \log_5(4))[/tex]

Open brackets

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Answer:

C.

Explanation:

Edge 2021

Which 2 options are correct?

Answers

Answer:

A,C

Step-by-step explanation:

i took the test

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