The correct answer is: Option (D) x = 72°
Explanation:
When two lines are crossed by another line, the angles in matching corners are called <em>corresponding angles</em>. When the two lines are <em>parallel</em>, the corresponding angles are <em>equal</em>.
Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, <em>the corresponding angles will be the same</em>.
Since the first corresponding angle is 72°, the second angle <em>x </em>will be 72° as well. The correct answer is: x = 72° Option (D).
Answer:
18 students in 4th grade
15 students in 5th grade
Step-by-step explanation:
1/3 of 45 = 15 students in 5th grade
2/5 of 45 = 18 students in 4th grade
Answer:
6x^2+17x+9
Step-by-step explanation:
you have to subtract the area of the white rectangle from the area of the entire rectangle
to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3
to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6
(8x^2+16x+6)-(2x^2-x-3)=8x^2+16x+6-2x^2+x+3=6x^2+17x+9
Answer:
7/24 Is The Answer!
Step-by-step explanation:
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:
1/4 Divided by 6/7 = 1/4 ₓ 7/6
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
1/4 times 7/6 = 7/24
The result Is
1/4 divided by 6/7 = 7/24
We have the equation f(x)=6x-5 to start with
Now in order to answer the question we have to know that f(5) is the same thing as setting x=5 and solving for f(5)
(A) f(5) = 6(5) - 5 = 30 - 5 = 25
(B) f(-3) = 6(-3) - 5 = (-18) - 5 = -23
So f(5) = 25 and f(-3) = -23
