Answer:
Step-by-step explanation:
![y=-x^2-12x-4\\\\y=-(x^2+12x)-4\\\\y=-(\underline{x^2+2\cdot x\cdot6+6^2}-6^2)-4\\\\y=-\left[(x+6)^2-36\right]-4\\\\y=-(x+6)^2+36-4\\\\\bold{\underline{y=-(x+6)^2+32}}](https://tex.z-dn.net/?f=y%3D-x%5E2-12x-4%5C%5C%5C%5Cy%3D-%28x%5E2%2B12x%29-4%5C%5C%5C%5Cy%3D-%28%5Cunderline%7Bx%5E2%2B2%5Ccdot%20x%5Ccdot6%2B6%5E2%7D-6%5E2%29-4%5C%5C%5C%5Cy%3D-%5Cleft%5B%28x%2B6%29%5E2-36%5Cright%5D-4%5C%5C%5C%5Cy%3D-%28x%2B6%29%5E2%2B36-4%5C%5C%5C%5C%5Cbold%7B%5Cunderline%7By%3D-%28x%2B6%29%5E2%2B32%7D%7D)
angle D = 92°
Step-by-step explanation:
Since the two figures are congruent.
angle D = angle K
20x + 12 = 25x - 8
5x = 20
x = 4
Substituting this value into angle D, we see that
angle D = 20x + 12
= 20(4) + 12
= 92°
Answer:
This triangle is an isosceles acute
Step-by-step explanation:
First lets define each classification
scalene - no equal sides
isosceles - two equal sides
equilateral - all equal sides
acute - all angles have a measure of less than 90 degrees
right - has a right angle (90 degree angle)
obtuse - has an angle that has a measure of more than 90 degrees
Now lets classify
The triangle has two equal sides (indicated by the little line on the top and bottom side) therefore it is an isosceles triangle
We know its an acute triangle because the one angle given is not a right angle nor a obtuse angle meaning that the other two angles are going to have a measure of less than 90 degrees
So we can conclude that this is an isosceles acute triangle
Answer:
25%
Step-by-step explanation:
5 ÷ 20 = 0.25 (multiply by 100 to make a percentage)
0.25 x 100 = 25%
Hope this helped :-)
Answer:
A) 13,564
Step-by-step explanation:
I JUST TAKE THE TEST
