The graph of the function B is shown below. Find B(2).Could you also explain how to do this?Thanks!

iVinArrow [24]

Answer:

Step-by-step explanation:

Angle PRS and RPQ are right angles. Segment SP is also congruent to segment QR. This means that triangle PRS and RPQ are right angle triangles.

Segment SP and segment QR are the longest sides and thus, the hypotenuse of each triangle. It means that the hypotenuse are congruent

The hypotenuse leg theorem states that any two right triangles are congruent if they have a congruent hypotenuse and a corresponding congruent leg. Therefore,

Angle PSR is congruent to angle RPQ and

Triangle PSR is congruent to triangle RPQ

6 0

4 years ago

Joe's workout at the gym was a total of 90 minutes. If he spent 1/3 of the time lifting weights, how much time did he have left

atroni [7]

Answer:

60 minutes, or 1 hour.

Step-by-step explanation:

90 minutes ÷ 3 = 30 minutes, so 30 minutes equals 1 third of the total time he spent at the gym, and he lifted weights for 30 minutes. The remaining 2 thirds, 60 minutes, is the time he spent on the treadmill.

5 0

3 years ago

Using Slopes of Parallel Lines Quick Check

Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

There is an important fact about the parallel lines:

Parallel lines have equal slopes

The rule of the slope of a line is:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

Let us use the fact and the rule to solve the question

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ $m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2$

∵ $m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2$

∵ The slope of AB = The slope of CD

∴ AB // CD

∵ $m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0$

∵ $m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0$

∵ The slope of AB = The slope of CD

∴ AD // BC

The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

5 0

3 years ago

What is the value of x in the equation 2(8%+4)-6+ 2%= 3(4%+3)+1 O 1 O 3 04. O 6

never [62]

Answer:

20 feet

Step-by-step explanation:

The speed of horse A is

The speed of horse B is

We define the speed as distance divided by time.

Given that the horses started the race at the same time (and assuming in the same position) we can write :

After 5 seconds for Horse A :

After 5 seconds, Horse A will have traveled 160 feet

After 5 seconds for Horse B :

After 5 seconds, Horse B will have traveled 140 feet

The difference between the distances :

is how much farther Horse A will have traveled.

After 5 seconds, The Horse A will have traveled 20 feet farther than the Horse B.

douwdek0 and 17 more users found this answer helpful

THANKS

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Step-by-step explanation:

5 0

3 years ago

I need help with intercepts from a graph

Rina8888 [55]

Explanation: The y axis is the line that goes up and down, vertical. The x axis is the line that goes straight across, horizontal. So, when looking for intercepts we have to see what numbers your graphed line goes through.

Make sure when you are writing your points you write it in (x,y) form. If you don't it will be wrong.

So, for our x intercept it would be -7,0.

This is because your graphed line goes through x at -7 and it has no y, so that would be 0.

For your y intercept, it would be 0,2

This is because our line does not go through x, so we make that 0. It does go through y at 2.

Hope this helps :)

If you need elaboration on anything let me know. I know sometimes with math it is kind of hard to explain through typing.

8 0

4 years ago