Answer:
55 degrees
Step-by-step explanation:
Add the expressions up and set up an equation.
( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.
3 x − 6 = 90 3 x = 96 x = 32 Find angle B.
x + 23 = 32 + 23 = 55
Hope this helps, have a nice day/night! :D
Answer:
95 square units
Step-by-step explanation:
Surface area of pyramid = 4(side area) + base
Solve for the base first.
Area of base = s*s = 5*5 = 25
Next solve for one of the sides.
Area of triangle = 1/2 b*h = 1/2 5*7 = 17.5
Plug these back into our original equation.
Surface area of pyramid = 4(side area) + base
Surface area of pyramid = 4(17.5) + 25
Surface area of pyramid = 70 + 25 = 95 square units
The formula for midpoint is
(
,
)
Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.
In this case:
^^^Plug in these number into the formula given above...
(
,
)
To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation (
) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:
= -5
3 + x = -5 * 2
3 + x = -10
x = -10 - 3
x = -13
To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation(
) and set it equal to the y-value of the midpoint (3). Then you must solve for y:
= 3
-2 + y = 3 * 2
-2 + y = 6
y = 6 + 2
y = 8
The coordinate of Preston's house is:
(-13, 8)
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
7/12, 2/3, 3/4
Step-by-step explanation: