Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T
9514 1404 393
Answer:
-2
Step-by-step explanation:
-8^(1/3) = -(2^3)^(1/3) = -(2^(3/3)) = -2
Answer:
Option (a)
Step-by-step explanation:
Slope of a line passing through two points 
and 
is given by,
Slope (m) = 
Slope of the line passing through (-4, 3) and (6, 3) will be,
m = 
m = 0
In other words, slope of any line parallel to x-axis is zero.
Therefore, Option (a) is the answer.
Answer:can u pls help answer my question 4d+15 is greater than or equal to -1
Step-by-step explanation:
Based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
<h3>How to illustrate the information?</h3>
It should be noted that complementary angles are the angles that are equal to 90°.
Therefore, based on the information given, the expression will be illustrated thus:
19x + 6 + 9x = 90°
Collect like terms
28x = 90° - 6°
28x = 84
Divide through by 28
28x / 28 = 84/28
x = 3
Therefore, the value of HEB will be:
= 9x
= 9 × 3
= 27°
Therefore, based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
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