Answer:
14
Step-by-step explanation:
PEMDAS - First Do Parentheses
29-3(5)
Then Do Multiplication
29-15
Then Finish with Subtraction
<u>14</u>
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
Answer:
x = 9
Step-by-step explanation:
Since we know that the triangle is a right triangle we also know that the angle would be 90 degrees
However we are only given 56 and 3x+7
Let 3x+7 be u
We know that 56+u=90 so solve for u
u=90-56
u = 34
Now u = 3x + 7 so,
3x + 7 = 34
solve for x,
3x=34-7
3x=27
x=27/3
x=9.
For the range:
5, infinity
Find the ratio of the similar known sides:
1.34/2 = 0.67
The smaller triangle is 0.67 the size of the larger one.
Multiply the similar sides by the ratio:
DE = 4 x 0.67 = 2.68
FE = 3 x 0.67 = 2.01
