Answer:
4 × ( 9 + 2z)
Step-by-step explanation:
36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor
= 4 × ( 9 + 2z)
we can also write it like this
36 + 8z = 2 × ( 18 + 4z)
Answer:
6mm
Step-by-step explanation:
radius = 1/2 of diameter
Answer:
Quadratic equation follows form: ax^2 + bx + c = 0
a = 8
b = - 6
c = 13
<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.
Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).
The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or
sqrt(25(2)+25(2)) = sqrt(100) = 10.
</span>
Answer:
m<3 = 97
m<10 = 97
m<9 = 83
m<5 = 97
m<7 = 83
m<16 = 97
Step-by-step explanation:
m<3 = m<2 because of vertical angles
m<10 = m<2 because of corresponding angles
m<9 + 97 = 180
m<9 = 83
m<5 + 83 = 180
m<5 = 97
m<7 = m<6 because of vertical angles
m<16 = m<5 because of alternate exterior angles.
