32.
What is the value of x for ∆DEF?

HELP! Answer if you can!!​

32.What Is The Value Of X For DEF?HELP! Answer If You Can!!

Answers

Answer 1

Step-by-step explanation:

[tex]c^{2} = {a}^{2} + { b}^{2} [/tex]

Pythagoras theorem

x²=12² + 5²

x²=144+25

x²=169

[tex]x = \sqrt{169} [/tex]

x=13

Answer 2

Answer:

x = 13

Step-by-step explanation:

Using the Pythagorean Theorem to find the missing hypotenuse side:

[tex]a^2+b^2=c^2[/tex]

12 and 5 are a and b. 'x' would be c.

[tex]12^2+5^2=c^2\\\\12^2=144\\5^2=25\\\\144+25=c^2\\\\169=c^2\\\\\sqrt{169}=\sqrt{c^2}\\\\\boxed{13=c}[/tex]

'x' should be equal to 13.


Related Questions

Solve the equation for x

Answers

Answer:

the answer is 5

Step-by-step explanation:

2x/5 - 9 = -7

2x/5      = -7 + 9

2x/5      = 2

2x         = 2 * 5

2x         = 10

x            = 10/2

x            = 5

Answer:

x = 5

Step-by-step explanation:

2

--- x - 9 = -7              add 9 both sides

 5

2

--- x - 9 + 9 = -7 + 9      

 5

2

--- x = 2             multiply both sides by 5

 5

    2

5 * --- x = 2 * 5

     5

2x = 10

x = 10 / 2

x = 5

1. An average orange has a mass of 270 grams. What is the mass of 8 oranges in kg?
.
.
2. 1 milliliter of ink can print 50 pages of text. If you had 100 gallons of ink then how many pages could you print? 1 gallon = 3.79L
.
.
3. If you are driving 55 miles per hour, how many feet per second are you traveling?
Convert hours to minutes:
Convert minutes to seconds: Convert miles to feet:
.
.
4. Ivan’s car has 40 L gas tank. If gas costs $3.67 per gallon how much does it cost to fill her tank?
1 L = .264 gallons
Convert liters to gallons: Calculate the cost of gasoline:
.
.
5. A child requires a 5 mL dose of medicine each day. How many days would a liter of this medicine last?

Answers

Answer:2.the answer is 189,250pages

Step-by-step explanation:

1L=1000ml

3.785=?3785

1ml=50pages

3785ml=?

The answer is 189,250

In the figure below, if x = 80° and z =
36°, find y.

Answers

Step-by-step explanation:

theanswer is 64 degrees

I need help on this can someone help

Answers

Answer:

1:3

Step-by-step explanation:

[tex]3:9\\= 1: 3[/tex]

Answer:

1   : 3

Step-by-step explanation:

pears : apples

3           9

Divide each side by 3

3/3      9/3

1   : 3

Write an expression to represent the product of 6 and the square of a number plus 15.

Answers

Answer:

6x^2 + 15

Step-by-step explanation:

We don't know what the square of a number is, so we represent it as x^2

The first part tells us to find the product of 6 and the square of a number, so

6x^2

The second part tells us to add 15 so,

6x^2 + 15

The expression that should be represented is [tex]6x^2 + 15[/tex]

Given that

The product of 6.The square of number + 15.

Based on the above information,

Let us assume the number should be x

So, from the above information, the expression should be [tex]6x^2 + 15[/tex]

Therefore we can conclude that The expression that should be represented is [tex]6x^2 + 15[/tex]

Learn more about the equation here:brainly.com/question/21105092?

A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Round to the nearest hundredth.

Answers

This is a problem using the Pythagorean theorem.

The square of the length required is 122 + 122 + 302 = 1188

 

The length is the square root of this number; I will leave it to you to extract the square root.

Answer:

34.47

Step-by-step explanation:

reduce 63/72 to its lowest terms

Answers

Answer:

7/8

Step-by-step explanation:

63 ÷ 9/72 ÷ 9

= 7/8

Answer:

7/8

Step-by-step explanation:

63/9 = 7

72/9 = 8

then:

63/72 = 7/8

If AC = 40, find the length of JK.

Answers

Answer:

JK = 24

Step-by-step explanation:

Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is

[tex]\frac{JK}{AC}[/tex] = [tex]\frac{BK}{BC}[/tex] , substitute values

[tex]\frac{JK}{40}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5JK = 120 ( divide both sides by 5 )

JK = 24

the triangles are all similar, because they have proportional sides and equal angles.

if you assume the smallest, equal part of side to be x

the biggest triangle has "5 parts" so BC=5x and BK has 3 parts so BK=3x .

since they're similar, ratio of their corresponding sides is constant or equal.

[tex] {BK\over BC}={JK \over AC}[/tex]

BK/BC=3/5

and AC=40

so JK = 40*3/5=24

Find the solutions to $x^2 + 64 = 0.$[tex]Find the solutions to $x^2 + 64 = 0.$[/tex]

Answers

Answer:

x=8i,\:x=-8i

Step-by-step explanation:

x^2+64-64=0-64

x^2=-64

x=\sqrt{-64},\:x=-\sqrt{-64}

x=8i,\:x=-8i

1 person = 40 min = 1 bag, 4 person = ? min = 1575 bags

Answers

Answer:

             15 750 min

Step-by-step explanation:

4 person =  1575 bags

1 person  = 1575:4 = 393.75 bags

40 min = 1 bag

393,75 bags = 40 min•393,75 = 15 750 min

Type the correct answer in the box. Use numerals instead of words.
Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
5.75 cm
The area of the shape is
square centimeters.

Answers

Answer:

35 cm squared

Step-by-step explanation:

Triangle area = bxh 2 = 5.75 x 8 / 2 = 23

Trapezium Area  = a+b /2 x h = 8 + 4 /2 x 2 = 12

23 + 12 = 35

Hope that helped!!! k

Answer: 35cm^2

Explanation:

Find the area of trapezoid:

A = (8 + 4)2/2 = (12 x 2)/2 = 24/2 = 12

Find the area of the triangle:

A = (8 x 5.75)/2 = 4 x 5.75 = 23

Find the area of the whole shape:

A (trapezoid) + A (triangle) = A (whole shape)

12 + 23 = 35 = A (whole shape)

Simplify:
[tex] \frac{ {a}^{5} {b}^{8} }{ {a}^{4} {b}^{10} } [/tex]
HELP! answer if you can !​

Answers

Answer: a/(b^2)

In general, (x^n1)/(x^n2)=x^(n1-n2). So the simplified version is a*(b^-2)=a/(b^2).

Answer:

a^5b^8/a^4b^10

= a^5-4 b^8-10

= a^1 b^-2

= a/b^2

I hope this helps

if u have question let me know in comments ^_^

HE SODA MACHINE
The soda machine at your school offers several types of soda. There are two buttons for your favorite drink, Blast,
while the other drinks (Slurp, Lemon Twister, and Diet Slurp) each have one button.
Describe the input and output of this soda machine.
While buying a soda, Ms. Whitney pushed the button for Lemon Twister and got a can of Lemon Twister.
Later she went back to the same machine, again pushing the Lemon Twister button, but this time she got a can
of Blast. Is the machine functioning consistently? Why or why not?
BLAST
BLAST
BLUSO
ooo
Students, write your resnonsel

Answers

Answer:

yes and no

Step-by-step explanation:

if a machine is work a lot lot LOT, then it might be jamed

or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly

( also i am not a student of yours )

4x +16 x+4
Simplify your answer as much as possible.

Answers

Answer:

20x+4

Step-by-step explanation:

Begin with adding like terms.
The like terms here are 4x and 16x .
This will give us the answer 20x.
As there is no other like term for 4, we just add it in 20x.


This gives us the final answer of 20x+4.

Thankssssss :)))))))

find the sum of partial fraction for x^4/(x-1)(x²-4)​

Answers

Answer:

see attachment

Step-by-step explanation:

Pls answer this urgently

Answers

Answer:

The pic there has a step by step explanation

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

        Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]

[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]

[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]

[tex]= \frac{992640625^t6}{1265625}[/tex]

[tex]= \frac{922640625tttttt}{1265625}[/tex]

[tex]= 729t^6[/tex]

Answer : [tex]729t^6[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀

Nan left her house at 1 p.m. driving at a constant speed of 40 miles perhour. If she continues at that same speed for the entire trip, she will reach
her destination at 4:45 p.m. If Nan were to drive 10 miles per hour faster,
how much quicker would she arrive?

Answers

Answer:

45 minutes faster

Step-by-step explanation:

Distance:

40 x 3.75 = 150

If travel 50 miles/h:

150/50 = 3

3.75 - 3 = 0.75 of hour

45 minutes

Hope that helped!!! k

Answer ASAP, will give brainliest!!

Answers

Answer:

Step-by-step explanation:

77; The formula to calculating the area of a trapezoid is (a+b)/2 * c. a+b are the 2 parallel lines, and c is the height or the altitude. So, it is (10+12)/2 * 7, which is 22/2 * 7 = 11*7=77 :)

If area of a rhombus is 336 cm and one of its diagonal is 14 cm, find its perimeter.

Answers

Answer:

The perimeter of the Rhombus is 100 cm

Step-by-step explanation:

First of all, we will need to find the length of the other diagonal.

let’s call the diagonals p and q

Mathematically, the area of the Rhombus is;

pq/2 = Area of Rhombus.

Let’s call the missing diagonal p

So;

(p * 14)/2 = 336

14p = 672

p = 672/14

p = 48 cm

Now, we can find the perimeter of the Rhombus using these diagonals.

Mathematically;

P = 2 √(p^2 + q^2)

Substituting these values, we have;

P = 2 √(14)^2 + (48^2)

P = 2 √(2500)

P = 2 * 50

P = 100 cm

The perimeter of the rhombus is the sum of its side lengths

The perimeter of the Rhombus is 100 cm

The length of one of its diagonal is given as:

[tex]p= 14[/tex]

And the area is given as:

[tex]A = 336[/tex]

Assume the other diagonal is q.

The area of the rhombus is represented as:

[tex]A = \frac{pq}2[/tex]

So, we have:

[tex]336 = \frac{14q}2[/tex]

This gives

[tex]336 = 7q[/tex]

Divide both sides by 7

[tex]48 = q[/tex]

Rewrite as:

[tex]q = 48[/tex]

The perimeter (P) of the rhombus is calculated as:

[tex]P =2\sqrt{p^2 + q^2[/tex]

So, we have:

[tex]P =2\sqrt{48^2 + 14^2[/tex]

Evaluate the squares

[tex]P =2\sqrt{2500[/tex]

Take positive root of 2500

[tex]P =2 \times 50[/tex]

[tex]P =100[/tex]

Hence, the perimeter of the Rhombus is 100 cm

Read more about areas and perimeters at:

https://brainly.com/question/14137384

I need help It’s honors 7 math pls help

Answers

Answer:

411,600.000× 10^3 OR 4.11600000×10^8

Step-by-step explanation:

The expontent seems to be 3 so you move the decimal point over <this way 3

if it is 8 you move it over this way < 8

Answer:

411,600.000× 10^3 OR 4.11600000×10^8

Step-by-step explanation:

The expontent seems to be 3 so you move the decimal point over <this way 3

if it is 8 you move it over this way < 8

The population of fruit flies tripled every day and the population today is 200 fruit flies.
a) Write an equation modeling the growth in the population of fruit flies.
b) What was the population of fruit flies 3 days ago?

Answers

Answer:

Equation = 600nNumber of fruit flies after 3 days = 1800 fruit flies

Step-by-step explanation:

Given:

Number of fruit flies = 200

Rate of growth = 3 times per day

Find:

A . Equation

B . Number of fruit flies after 3 days

Computation:

A . Equation = 3n(200)

Equation = 600n

B. Number of fruit flies after 3 days

Number of fruit flies after 3 days = 600(3).

Number of fruit flies after 3 days = 1800 fruit flies

Which of the following are true statements about the expression 5 + (-5)
1. the expression equals 0.
2. The expression equals 10.
3. The expression describes the number that is 5 to the left of 5 on the number line.
4. The expression describes the number that is 5 to the right of 5 on the number line.

Answers

Answer:

[tex]\huge\boxed{\sf The \ expression\ equals \ zero}[/tex]

Step-by-step explanation:

=> 5 + (-5)    [ + (-) = - ]

=> 5 - 5

=> Zero

Answer:

The answer is option A-The expression equals 0.

Step-by-step explanation:

Evaluate the function below at x=7. Then enter your solution rounded up to 2 decimal places. 1500•1.09^x

Answers

Answer:

Value of the function will be 2742.06

Step-by-step explanation:

Given function is,

f(x) = 1500(1.09)ˣ

By substituting the value of x we can find the value of the given function.

For x = 7,

f(7) = 1500(1.09)⁷

     = 1500(1.828)

     = 2742.0587

     ≈ 2742.06

Value of the function will be 2742.06

A pyramid has a square base with an area of 169 ft.² what is the perimeter of the base of the pyramid

Answers

Answer:

52

Step-by-step explanation:

Square root of 169 is 13.

SInce it is a square all sides are same length. So you could do 13x4 or 13+13+13+13. Both will equal to 52.

The perimeter of the base of the pyramid is 52 square feet.

Given that,

The pyramid contains a square base having an area of 169 square feet.

We know that,

Area of the square = side^2

169 = side^2

So, the side is 13 feet.

So, the perimeter should be

= 4 × sides

= 4 × 13

= 52 feet

Therefore, we can conclude that The perimeter of the base of the pyramid is 52 square feet.

Learn more about the square here: brainly.com/question/14198272

What is the value of x in the equation 3x-4y=65, when y =4 will give brainliest

Answers

Hello!

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given:

3x - 4y = 65 where y = 4;

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Hope this helped you! :)

Answer:

x=27

Step-by-step explanation:

3x-4y=65

Let y=4

3x - 4(4) = 54

3x -16 = 65

Add 16 to each side

3x -16+16 = 65+16

3x = 81

Divide each side by 3

3x/3 =81/3

x =27

Plz help with this question! What is 1/3 * 3/5 * 5/7 ... * 97/99

Answers

Answer:

Step-by-step explanation:

(1/3)*(3/5)*(5/7)*.......*(93/95) * (95/97) * (97/99)

The denominator of each fraction will cancel out the numerator of the next fraction.

Take a close look

Therefore the result is 1/99

HOPE IT HELPS!!

The product of the geometric series  is 1/99.

The product is a geometric series with first term 1/3 and common ratio 2/3. The number of terms is 49. The sum of the series is 1/99.

Here's the explanation:

A geometric series is a series where each term is multiplied by a constant value to get the next term. The constant value is called the common ratio.

In this case, the first term is 1/3 and the common ratio is 2/3. This means that each term is multiplied by 2/3 to get the next term.

The number of terms in the series is 49. This means that there are 49 terms in the series, starting with 1/3 and ending with 97/99.

The sum of the series is 1/99. This can be found using the formula for the sum of a geometric series:

S = a × (1 - [tex]r^{n}[/tex]) / 1 - r

where a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 1/3, r = 2/3, and n = 49. Substituting these values into the formula, we get:

S = (1/3) × (1 - (2/3)49) / 1 - (2/3) = 1/99

Therefore, the product is 1/99.

Learn more about geometric series  here: brainly.com/question/30264021

#SPJ2

The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?

Answers

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

This table represents a quadratic function.
What is the value of “a” in the function’s equation?
A. -1/2
B. 1/2
C. 2
D. 1

Answers

Answer:

I think 1/2 is the ans

Step-by-step explanation:

quadratic function equation

would help

help me with guys plzzzzz

Answers

Answer:

C

Step-by-step explanation:

So the lion weighs more than the ant right?

And we wish to figure out how much greater the lion's weight is compared to the ant's weight.

So only thing we have to do is divide.

[tex]\frac{1 * 10^5}{2*10^-3} = \frac{10^5}{2*10^-3} = \frac{10^8}{2} = 50000000 = 5 * 10^7[/tex]

Answer:

5×10^7

Step-by-step explanation:

2×10^-3    1×10^5

(1×10^5)/(2×10^-3)=

5×10^7

to scheck :(2*10^-3)(5*10^7)=(1*10^5)

A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

Answers

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

Other Questions
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