Answer:
x=5
Step-by-step explanation:
Congruent triangles mean they have the same side lengths, so the equation here is x^2-7=4x-2. Then, solve the quadratic equation:
x^2-7=4x-2
x^2-4x-5=0
(x-5)(x+1)=0
x=5,-1
Since a side of a triangle can't be negative, the answer is 5.
The total volume of clay Dominic has is the volume of the block; length⋅width⋅height. That's 24.5 ⋅ 12.5 ⋅ 8 = 2450 inches cubed.
We'll divide the total volume of clay Dominic has by the required clay per vase to find how many vases he can make: 2450 ÷ 50 = 49 vases.
Dominic can make a maximum of 49 vases.
Observe the given figure.
Here, angle T and R are the inscribed angles.
And sum of inscribed angles is half of measure of intercepted arcs.
Since, the measure of intercepted arcs is 360 degrees.
Therefore, 

Hence, the sum of the two angles is 180 degrees.
Therefore, these are the supplementary angles.
Therefore, angle T and angle R are supplementary angles.
Hence, proved.
Answer:
x = -16
Step-by-step explanation:
subtract the two over first so x/4 = -4
multiply both sides by 4
x = -16
If you want a polynomial to have the x-intercepts of your choice, you simply have to build a polynomial by multiplying pieces like
where
is the x-intercept you want.
So, if you want x-intercepts 0 and 4, you have to build the polynomial
