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Ronch [10]
3 years ago
9

At the last chance filling station.gas cost $1.60 a gallon.Trevor paid$32.00 to fill his tani.how many gallons of gas did he buy

? Write an algebraic equation that represents the scenario
Mathematics
1 answer:
nalin [4]3 years ago
3 0
I am not sure but I did this in my head and then I did it on the calculator and it was 20
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Determine whether the two triangles are simllar. If they are similar, select the simllarity statement. А 24° 74° 0 B. C (select)
Ksju [112]

To solve the exercise you can first find the measure of angles B and C in triangle ABC.

Since the triangle ABC is an isosceles triangle, then it is true that

On the other hand, the Triangle Sum Theorem, which says that the sum of the three interior angles in a triangle is always 180°.

So, the measure of angles B and C in triangle ABC will be

\begin{gathered} m\angle A+m\angle B+m\angle C=180\text{\degree} \\ 24\text{\degree}+m\angle B+m\angle B=180\text{\degree} \\ 24\text{\degree}+2\cdot m\angle B=180\text{\degree} \\ \text{ Subtract 24\degree from both sides of the equation}^{} \\ 24\text{\degree}+2\cdot m\angle B-24\text{\degree}=180\text{\degree}-24\text{\degree} \\ 2\cdot m\angle B=156\text{\degree} \\ \text{ Divide by 2 into both sides of the equation} \\ \frac{2\cdot m\angle B}{2}=\frac{156\text{\degree}}{2} \\ m\angle B=78\text{\degree} \\ \text{ Also} \\ m\angle C=78\text{\degree} \end{gathered}

Then, you can see that none of the angles in triangle ABC is congruent with angle D.

\begin{gathered} \angle B=78\text{\degree}\ne\text{ }74\text{\degree}\angle D \\ \angle C=78\text{\degree}\ne\text{ }74\text{\degree}\angle D \end{gathered}

Therefore, none of the angles in triangle ABC are congruent to angle D, so the triangles are not similar.

4 0
1 year ago
A pool 44 feet by 9 feet by 8 feet find the volume
kondor19780726 [428]
The volume of a rectangular prism (in this case, the pool) is found by multiplying the values of the length, the height, and the width together.

44 * 9 * 8 = 3168

The volume of the pool is 3,168 ft^{3}.
Hope that helped! =)
6 0
3 years ago
The radius of a semicircle is 2 feet. What is the semicircle's diameter?
fomenos

Answer:

11/7 feet

Step-by-step explanation:

Perimeter of a circle = pi

Semicircle would be 1/2 of pi

1/2 × 22/7 × 1

You must divide by one to get the value of 1/2

11/7 is the answer

8 0
3 years ago
(5,-9);slope= -4/3<br> Write in slope intercept form
Fantom [35]

Answer:

y = 4/3x-7/3

Step-by-step explanation:

Slope intercept form is y=Mx+b; m=slope & b= y intercept

y=-4/3x+b

Now substitute x & y with the point given

(-9)=-4/3(5)+b

-9= -20/3+b

+20/3 +20/3

-7/3=b

Now substitute this into the original equation

y = 4/3x-7/3

6 0
3 years ago
Thad is Mac d a d d y
madreJ [45]

Answer:

What

Step-by-step explanation:

8 0
2 years ago
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