Since you know that PQ=RQ, you have an equilateral triangle. This makes things very simple.
Angle R should be the same as angle P.
A triangle is equal to 180 degrees.
Add angles P and R. Subtract 180 from the answer you got. That will give you 2a. a divided by 2 will give you a.
Or, since there are two right triangles, you can add 47 and 90. Subtract 180 from that and you will get a.
If u have a open circle, then the inequality has no equal sign. But if it is a closed circle, the inequality has an equal sign.
Shading to the left means " less then " .
Shading to the right means " greater then " .
(1) u have an open circle on -7 with shading to the left....
x < -7
(2) u have a closed circle on 4.5 with shading to the left....
x < = 4.5 (thats less then or equal)
(3) u have an open circle on -5 with shading to the right...
x > -5
(4) u have an open circle on 1.5 with shading to the right...
x > 1.5
Given:
Volume of the prism = 60 in³
Breadth = 2.5 in
Height = 4 in.
To find:
The length of the prism.
Solution:
We know that, volume of a prism is

where, l is length, b is breadth and h is height.
Putting V=60, b=2.5 and h=4, we get


Divide both sides by 10.


Therefore, the missing dimension of the prism is 6 in.
The answer is: " 53
% " .
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→ " 53
% " of 75 is "40" .
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Explanation:
To solve:
* 75 = 40 ;
→ Rewrite as:
*
= 40 ;
→ The "100" cancels to "4" ; and the "75" cancels to "3" ;
→ {since: "{100 ÷ 25 = 4}" ; and since: "{75 ÷ 25 = 3"} ;
→ So; we rewrite the problem as:
→
*
= 40 ;
→ which is:
* 3 = 40 ;
→ Divide each side of the equation by "3" ;
* 3 ÷ 3 = 40 ÷ 3 ;
to get:
→
=
;
Now, cross-multiply:
→ 3x = (4)*(40) ;
→ 3x = 160 ;
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 3x / 3 = 160 / 3 ;
to get:
→ x = 53
.
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For this case, the first thing we must do is define variables.
We have then:
x: number of classes:
y: total cost
For Devin we have the following equation:

For Jared we have:

Then, by the time the cost of both is the same, we have:

From here, we clear the value of x.
We have then:




Answer:
it takes 10 classes for Devin's total cost to equal Jared's total cost