Answer:
∠J = 107°
∠K =107°
∠L = 73°
∠M = 73°
Step-by-step explanation:
Angle J + angle M = 180°
(10x - 33) + (4x+17) = 180
simplify:
14x -16 = 180
14x = 196
x = 14
∠J = 10(14) - 33 = 107°
∠M = 4(14) + 17 = 73°
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
Learn more about the right-angle triangle here:
brainly.com/question/3770177
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Answer:
B
Step-by-step explanation:
When there is only rotation and reflection, there is no change in size. A change in size occurs when there is dilation.
Answer:
0.078
Step-by-step explanation:
Margin of error = z√(p(1-p)/n)
Given
p-hat = 0.43
n = 270
z at 99% confidence interval = 2.576
Substitute
MOE = 2.576√0.43(1-0.43)/270
MOE = 2.576√0.43*0.57/270
MOE = 2.576√0.2451/270
MOE = 2.576*0.030129
MOE = 0.078
Hence the margin og error is 0.078
Answer:
17x+5
Step-by-step explanation:
Simplify the equation
