Answer:
C) 17
Step-by-step explanation:
Using the rule
A^2 + B^2 = C^2
8^2 + 15^2 = x^2
64 + 225 = x^2
x^2 = 289
x= _/-289
x = 17
Answer:
A: m<1 = 79 degrees
B: m<1 = 61 degrees, m<2 = 151 degrees, m<3 = 12 degrees
Step-by-step explanation:
A: An exterior angle is equal to the sum of the two opposite interior angles. 27+52 in this case.
B: The sum of the measures of the interior angles in a triangle is 180 degrees.
Since we know the two angles in the right trinagle are 90 and 29 degrees, we add them and subract the sum from 180 which gives us 61 degrees.
Applying what we know from part A, 61 degrees+90 degrees = m<2.
And, since we know m<2 = 151 degrees, we add that and the 17 degrees to then subtract that sum from 180 to get the measure of angle 3 which is 12 degrees.
Answer:
x=6
y=-5
Step-by-step explanation:
3x+2y=8 equation 1
x-2y=16 equation 2
equation 2+equation1 ; 4x = 24
x = 6
substitution x in equation1 ;
18+2y=8
2y = -10
y = -5
Answer:
8 in.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(L + W)
Value of P = 46.
Length is 7 inches less than the width. This translates to L = W - 7
Substitute L = W - 7 into the perimeter equation, you get
46 = 2(W - 7 + W)
46 = 2(2W - 7)
46 = 4W - 14
4W = 60
W = 60 / 4 = 15 in
L = W - 7 = 15 - 7 = 8 in
B. 6 km
You have to draw it so you can better process it. From there it's just the Pythagorean theorum.
a²+b²=c²
6²+b²=10²
(10 is c because it's the hypotenuse)
64+b²=100
100-64=36
√36 = 6
