Answer:
A
Step-by-step explanation:
Hey There!
So these triangles are congruent so segment CD is equal to segment DB
so to find x we use the equation
7x+10=10x+7
now we solve for x
step 1 subtract each side by 7
10-7=3
7-7 cancels out
now we have 7x+3=10x
step 2 subtract each side by 7 x
10x-7x=3x
7x-7x= cancels out
now we have
3x=3
step 3 divide each side by 3
3/3=1
3/3 cancels out
now we have
x=1
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.
There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2

Another way to do it is the longer proof of Pythagorean Theorem:

Answer:
y=-2x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-2(x-1)
y+7=-2x+2
y=-2x+2-7
y=-2x-5
Answer:
C
Step-by-step explanation:
Use the pythagorean theorem
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
5 = c
Answer:
$732.5
Step-by-step explanation:
Mae Ling earns a weekly salary of $365 which means salary per week is $365
Then plus a 7.5% commission on sales at a gift shop if she sold $4,900 worth of merchandise, which means additional
(0.075×4900)=367.5
The total she make will be
367.5+365
=$732.5
Therefore,she will make $732.5 in a work week if she sold $4,900 worth of merchandise