Answer:
102
Step-by-step explanation:
24+12+5+17+6+19+4+15=102
Answer:
The height of the projection will be (x - 5) feet.
Step-by-step explanation:
A projector displays an image on a wall. The area (in square feet) of the rectangular projection can be represented by (x² - 8x + 15).
Now to get the width and the height of the rectangular projection we have to factorize the expression (x² - 8x + 15).
Here, (x² - 8x + 15)
= x² - 3x - 5x + 15
= (x- 3)(x - 5)
Now, if the height of the projection is less than its width then, the height of the projection will be (x - 5) feet. (Answer)
To find the volume of the box you have to do the formula for volume
the formula for volume is lxwxh aka length x width x height
so first you have to do 3/4 x 1/2
3/4 x 1/2 = 3/8
Next, you have to do 3/8 x 1/4
3/8 x 1/4 = 3/32
so the volume of the box is 3/32
HOPE THIS HELPS!!!
Answer:
135°
Step-by-step Explanation:
==>Given:
An inscribed quadrilateral ABCD with,
m<A = (3x +6)°
m<C = (x + 2)°
==>Required:
measure of angle A
==>Solution:
First, let's find the value of x.
Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.
Therefore, this means m<A + m<C = 180°
Thus, (3x+6) + (x+2} = 180
3x + 6 + x + 2 = 180
Collect like terms:
3x + x + 6 + 2 = 180
4x + 8 = 180
Subtract 8 from both sides:
4x + 8 - 8 = 180 - 8
4x = 172
Divide both sides by 4:
4x/4 = 172/4
x = 43
We can now find m<A = (3x + 6)°
m<A = 3(43) + 6
= 129 + 6
measure of angle A = 135°
Answer: It is TRUE. A point in a linear equation can be the solution to said equation.
