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olga_2 [115]
3 years ago
11

What is the value of x and y?

Mathematics
2 answers:
crimeas [40]3 years ago
8 0

Answer:

C. x = 8 , y = 40

Step-by-step explanation:

since this is an Isosceles triangle 5x = 40° and x = 8

The sum of interior angles in a triangle is equal to 180°

40° + 5x + 2y + 20 = 180° add like terms

5x + 2y = 120

40 + 2y = 120 ➡ 2y = 80 and y = 40

Blizzard [7]3 years ago
3 0

Step-by-step explanation:

AB =AC

Therefore,∆ABC is an isosceles triangle.

angle B= angle C

5x°= 40°

x°= 8°

Now, sum of the interior angles of the triangle= 180°

angle A+angle B+angle C=180

2y+20°+5x+40°=180°

2y+20°+40°+40°=180°

2y+100°=180°

2y=80°

y=40°

option C ,x = 8 ; y= 40°

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Kaylee and Olivia go to the movie theater and purchase refreshments for their friends.
KatRina [158]

The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30      Eqn 1

x+6y=11.25      Eqn 2

Multplying Eqn 2 by 2

2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 1

(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50

Dividing both sides by 2

\frac{2x}{2}=\frac{7.50}{2}\\x=3.75

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11821063
  • brainly.com/question/11871074

#LearnwithBrainly

3 0
3 years ago
Integration of the following function
DerKrebs [107]

Answer: None of the above

Step-by-step explanation:

Given

\frac{\mathrm{d} \bar{c}}{\mathrm{d} x}=-6x^{-2}+\frac{1}{6}

d\bar{c}=\left (  -6x^{-2}+\frac{1}{6}\right )dx

Now, integrating both sides

\int d\bar{c}=\int \left (  -6x^{-2}+\frac{1}{6}\right )dx

\bar{c}=-6\frac{x^{-2+1}}{-2+1}+\frac{1}{6}x+k_1

\bar{c}=6x^{-1}+\frac{1}{6}x+k_1

6 0
3 years ago
Baytown Village Stone Creations is making a custom stone bench. the recommended height for the bench is 18 in. the depth of the
Natalija [7]

Answer:

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

Step-by-step explanation:

Given:

Total height of the bench = 18 in

Depth of the stone bench = 3\frac{\textup{3}}{\textup{8}}\ in = \frac{\textup{27}}{\textup{8}}\ in  = 3.375 in

Measure of stones = 3\frac{\textup{1}}{\textup{2}}\ in = \frac{\textup{7}}{\textup{2}}\ in  = 3.5 in

measure of another stone =  5\frac{\textup{1}}{\textup{4}}\ in = \frac{\textup{21}}{\textup{4}}\ in  = 5.25 in

let the height of the third stone be 'x'

Now,

The total height of the bench = depth of bench + Measure of two stones + x

18 = 3.375 + 3.5 + 5.25 + x

or

x = 18 - 12.125

or

x = 5.875 in

or

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

6 0
3 years ago
Equation of a line that best fits the points (-4,10)(-1,5) (2,-1) (3,-6) (5,-7)
Slav-nsk [51]

Answer:

-2.02+2.22=trendline

8 0
3 years ago
Can someone help w/ 3 and 4 please??
Ymorist [56]
Yep that looks about right. I would say that works. Good job. You're doing great
3 0
3 years ago
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