The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answer:

8

Step-by-step explanation:

Let's say that the amount of lollipops Lydia buys is represented by x and the number of candy bars is represented by y. For each x, Lydia spends 0.50, and for each y, Lydia spends 1.50. This means that the total amount she spends can be represented by the equation 0.50*x+1.50*y. Our equation is then 0.50*x+1.50*y=15

Using our equation, we can plug 6 in for x, resulting in 0.50*6+1.50*y=15, so [tex]0.50x+1.50y=15\\0.5(6)+1.50y=15\\3+1.50y=15\\1.50y=12\\y=8[/tex]

In this set of equations, we plugged 6 in, multiplied it out, then subtracted 3 from both sides, and finally divided both sides by 1.50 to get 8 as our answer.

Answer:

ok so we just substate the number in so

6+9/6

6+1 1/3 = 7 1/3

so for part a the answer is 7.33

for part b

2+9/2

3+4 1/2 =7 1/2

so the answer is 7.5

A:7.33

B:7.5

Hope This Helps!!!

Answer:

A, 2

B, 10

C, undefined

Step-by-step explanation:

Just did the assignment  E2021

Answer:

r = 9.61 cm

Step-by-step explanation:

Volume of a rectangular box = length × width × height

= 21.5 cm × 13.5 cm × 6 cm

= 1,741.5 cm³

Volume of a rectangular box = 1,741.5 cm³

Since,

Volume of a rectangular box = Volume of a circular box

Then,

1,741.5 cm³ = Volume of a circular box

Volume of a circular box = πr²h

1,741.5 cm³ = 3.14 * r² * 6 cm

1,741.5 = 18.84r²

r² = 1,741.5/18.84

r² = 92.436305732484

r = √92.436305732484

r = 9.6143801533163

Approximately,

r = 9.61 cm

Answer:

[tex]x=-4+\sqrt{7}[/tex]

[tex]x= -4-\sqrt{7}[/tex]

Step-by-step explanation:

Quadratic

Answer:

8640

Step-by-step explanation:

According to question,

P= 6000

T=3 year 8 months = 11/3 years

R= 12% per annum

Simple interest is given by :

[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]

Now,

Amount = P+SI

Amount=6000+2640

Amount=8640 Rs

8640 Rs amount which will clear her debt

Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.

25 / 5 = F / 8

Cross-multiply to solve.

5F = 200

F = 40

Hope this helps!

Answer:

second option is correct

Answer:

x = 8

Step-by-step explanation:

Given

3(x - 1) - 2(x - 1) = 7 ← distribute both parenthesis on left side

3x - 3 - 2x + 2 = 7 , simplifying

x - 1 = 7 ( add 1 to both sides )

x = 8

Answer:

(3V) / b = h

Step-by-step explanation:

V = (1/3)bh multiply both sides by 3

3V = bh divide both sides by b

(3V) / b = h

Answer: 44º

Step-by-step explanation:

Hi there! To start out, disregard Y and Z, as they are just there to trip you up.

Use the Triangle Sum Theorem to find out the question! This theory states that all angles in a triangle add up to 180 degrees. So, just set up an equation, like the one down below!

82+54+X=180

Then, add the whole numbers!

136+X=180

Then isolate X by using inverse operations!

136+X-136=180-136

Then your answer is there!

X=44

If you have any follow up questions, please let me know! Have a nice day

Answer:

Answer:

according to right , we use Phythgorous

tanb= 9/12

cosb=12/15

and sinb=9/15

Answer:

- 3

Step-by-step explanation:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

The number is - 3

The number is - 3.

To find the number.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. All the whole numbers are also integers, because integers include all the positive and negative numbers.

Given that:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

So, the number is - 3.

Learn more about integer here:

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[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{x}{24} [/tex]

➼ [tex] \: x = \frac{ - 3 \times 24}{4} [/tex]

➼ [tex] \: x = \frac{ - 72}{4} [/tex]

➼ [tex] \: x = - 18[/tex]

Therefore the value of [tex]x[/tex] is -18.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{ - 18}{24} [/tex]

➼ [tex] \: \frac{ - 3}{4} = \frac{ - 3}{4} [/tex]

➼ L. H. S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35♨}}}}⋆[/tex]

Answer:

a) is the correct answer.

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°

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

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.

Learn more about Angles here :

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Answer:

It will be 1020

Step-by-step explanation:

2 extra large = 85 ounces

multiply by 6 to get to 12 cups

85*12=1020

Answer:

False

Step-by-step explanation:

False

There is not enough information to guarantee the lines are perpendicular.

No, we can not say that AB and CD are perpendicular from the information given.

Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.

The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

Given that a triangle ABC, divided into two triangles by a line DC, also

angle DAC and DBC are congruent,

From the given information we can not conclude any relation between both triangles,

Hence, we can not say that AB ⊥ CD

Learn more about perpendicular line click;

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Answer:

3/4, 0.73, 1/4, 0.24

Step-by-step explanation:

1/4=25/100=0.25

3/4=75/100=0.75

Answer:

83 racoons

Step-by-step explanation:

18+67- 2

you would subtract the two they found with tags

Answer:

4 option

Step-by-step explanation:

Answer:

Instrumental variable

Step-by-step explanation:

cov(z,u)  shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.  

In other words, the number 4 goes in the green box.

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Explanation:

2 yellow + 3 pink + 5 blue = 10 total marbles

We have 5 blue out of 10 total, so 5/10 = 1/2 represents the probability of picking a blue marble.

Picking two marbles in a row is represented by the probability (1/2)*(1/2) = 1/4

The fraction 1/2 stays the same for both selections because we put the first marble back.

Answer:

[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]

Answer:

x = 3

Step-by-step explanation:

7x-8=13

Add 8 to each side

7x-8+8=13+8

7x = 21

Divide each side by 7

7x/7 = 21/7

x = 3

Answer:

The word for the blank would be "square".

Step-by-step explanation:

Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.

Hope this helped!

Answer:

square

Step-by-step explanation:

the area of a cube is found by squaring the length

Step-by-step explanation:

here is the answer babe. Feel free to ask for more

Answer:  - 1.

Step-by-step explanation:

[tex]\frac{\dfrac{x+y}{x-y} }{\dfrac{y+x}{y-x} } =\dfrac{x+y}{x-y} \div \dfrac{y+x}{y-x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{y-x}{y+x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{-(x-y)}{x+y}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{-(x+y)(x-y)}{(x-y)(x+y)} \\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = -1[/tex]