Find the area. The figure is not drawn to scale. Hint: Find the sum of the areas of 2 triangles and 2 parallelograms.
Select one:
a. 188 in.2
b. 278 in.2
c. 322 in.2
d. none of these

Answer: Yes, the triangles are similar.

The triangles are similar due to the AAA similarity theorem.

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Explanation:

Recall that for any triangle, the three inside angles must add to 180 degrees.

So for triangle ABC, this means that

A+B+C = 180

40+120+C = 180

160+C = 180

C = 180-160

C = 20

Similarly, we can find angle T by following these steps

R+S+T = 180

20+120+T = 180

140+T = 180

T = 180-140

T = 40

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To summarize, we found angle C to be 20 degrees, and angle T is 40 degrees.

Now note these angle pairings in which they are the same measure

We have three pairs of corresponding angles that are congruent. By the AAA (angle angle angle) similarity theorem, this proves the triangles are similar. We can say triangle ABC is similar to triangle TSR. The order is important so we know how the angles pair up. For instance, A and T are the first letters of ABC and TSR respectively, helping us see that A and T pair up together.

Technically the minimum amount we need is only two pairs of corresponding angles, so some math textbooks use AA instead of AAA. It's the same idea though.

Unfortunately we don't have enough information to prove the triangles congruent or not. We would need to know some information about a pair of sides. Specifically, if we had one pair of congruent sides, then we could use either ASA or AAS.

Answer:

c

Step-by-step explanation:

Answer: a) 4 b) you could make up to 8 liters

Step-by-step explanation:

Answer:

See Below! :)

Step-by-step explanation:

The answer to a is just 1.5 x 8

The answer to b is no

Hope this Helps! :D

É só vc ir somando até 11.

Ou multiplicar por 11.

4,35x11

Espero ter ajudado!

Answer:

you mesuare the apple to see if it greater or less than 3 centimeter  

Step-by-step explanation:

Answer:

the graph on the bottom left

Step-by-step explanation:

outliers are points that are away from the cluster of points in the bottom left graph all of the points are grouped up therefor the bottom left graph is the correct answer

Answer:

A

Step-by-step explanation:

We want to find the equation of the line in slope-intercept form.

From the graph, we are given the two points (-5, 1) and (0, -3).

We can find the slope between them. The slope formula is given by:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We will let (-5, 1) be (x₁, y₁) and (0, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{(-3)-(1)}{(0)-(-5)}[/tex]

And evaluate:

[tex]\displaystyle m=\frac{-4}{5}=-\frac{4}{5}[/tex]

Next, notice that the point (0, -3) is already the y-intercept, so we do not need to find it.

Slope-intercept form is given by:

[tex]\displaystyle y=mx+b[/tex]

Therefore, our equation is:

[tex]\displaystyle y=-\frac{4}{5}x-3[/tex]

Our answer is A.

Answer:

1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

the answer is either B or C but I think it's C

Answer:

The answer is D

Step-by-step explanation:

Please give me brainliest

Answer:

x=2

Step-by-step explanation:

hi so im gonna be honest im too lazy to write down how i found the answer but it should be x=2. hope it helps!

ps pls tell me if it was correct :)

Answer:the third one

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Answer:

$4720

Step-by-step explanation:

Simple Interest

A=P(1+in)

A- Accumulated Amount

P- Principal Amount

i- Interest (÷100)

n- Number Of Years

A=P(1+in)

A=4000(1+0.06×3)

A=4000(1.18)

.°.A=$4720

Answer:  6(6m - 1)

Step-by-step explanation:

6 - 4(3 - 6m) + 12m

= 6 -12 + 24m + 12m

= 36m - 6

= 6(6m - 1)

Answer:

i don't know

Step-by-step explanation:

Answer:

-1/2

if it's not right let me know

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

yay

Answer:

Step-by-step explanation:

x = 1.5·42 = 63

Answer:

Step-by-step explanation:

Let the merchandise she sold = x

Her commission is 15% of that, so 15% of x or 0.15x

We know her commission was $40, so 0.15x = $40

0.15x = $40

Divide by 0.15

x = $266.67

We can check our answer by substituting $266.67 back into the equation.

0.15(266.67) = 40

40 = 40 ✅

Alyson sold $266.67 worth of merchandise.

A

Because of 3 adults bought 3 tickets, 9 x 3. 9(3)

4 students bought 4 tickets, 4 x 5, 4(3)

Answer:

The y-intercept is 2 and the slope is 1/2. So the equation is y = 1/2x + 2

Step-by-step explanation:

The y-intercept is where the line starts on the y-axis. For the slope to the next point on the line you have to move 2 units to the right and 1 unit up. When writing the slope as a fraction, you always put how far you move up or down above how far you move to the right or left.