Answer:
a. x = 4 b. x = 7
Step-by-step explanation:
a. They are both congruent right angles because of the alternate exterior angles theorem
90-4 = 86
86/21 = 4
b. The angles are congruent because of the corresponding angles postulate
75+2 = 77
77/11 = 7
We know that
the formula of the <span>the sum of the arithmetic sequence is
Sum=n*(a1+an)/2
n=36
a1=3
a36=?
find a36
an=a1+(n-1)*d
for n=2 a2=9
9=3+(2-1)*d----> 9=3+d----> d=6
so
for n=36
a36=a1+(36-1)*6----> a36=3+35*6----> a36=213
</span>Sum=n*(a1+an)/2-----> 36*[3+213]/2----> 3888
the answer is
3888
Answer:
100;105;110;115;120;125;130;135;140;145;150;155;160....
Step-by-step explanation:
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
<h3>What is the
Area of a Trapezoid?</h3>
Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
Learn more about area of trapezoid on:
brainly.com/question/1463152
Answer:
Step-by-step explanation:
2x + 4 = 6x - 10
Minus 2x on both sides
4 = 4x - 10
Add 10 on both sides
14 = 4x
Divide by 4 on both sides
14/4 = x
x = 14/4
Simplify fraction
x = 7/2 or x = 3 1/2
