Answer:
See below.
Step-by-step explanation:
H.
f = 3x + 31
c = 12x - 1
3x + 31 + 12x - 1 = 180
15x + 30 = 180
15x = 150
x = 10
same-side interior, supplementary
R.
b = x - 10
g = 4x + 60
x - 10 + 4x + 60 = 180
5x + 50 = 180
5x = 130
x = 26
same-side exterior, supplementary
E.
d = 2x + 13
e = 7x + 5
2x + 13 + 7x + 5 = 180
9x + 18 = 180
9x = 162
x = 18
same-side interior, supplementary
I.
a = 10x - 30
e = 8x + 20
10x - 30 = 8x + 20
2x = 50
x = 25
corresponding, congruent
G.
b = x + 30
h = 5x - 14
5x - 14 = x + 30
4x = 44
x = 11
alternate exterior, congruent
Answer:
0.0154°
Step-by-step explanation:
In this problem we are required to solve for x, which is the angle, there are two ways to go about about it, we either use four figure table or calculator.
To use calculator remember to set your calculator in degrees and not in radian.
Punch sin 0.8829=0.0154°
Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' theorem, that is
The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
Using x instead of ?
(a)
The hypotenuse is the side opposite the right angle, that is 74, thus
24² + x² = 74²
576 + x² = 5476 ( subtract 576 from both sides )
x² = 4900 ( take the square root of both sides )
= 
x = 70
----------------------------------------------------------------------
(b)
The hypotenuse x is the unknown side here
x² = 40² + 40² = 1600 + 1600 = 3200
Take the square root of both sides
=
≈ 56.6 ( nearest tenth )
The volume that is left to be filled is approximately: 3,332.6 in.³
<h3>What is the Volume of a Box?</h3>
Volume of a box = (length)(width)(height)
Given the following:
Volume of the bat = 82 cubic in.
Length of box = 30 in.
Width = 18.97 in.
Height = 6 in.
The remaining volume to be filled = volume of box - volume of bat
= (30)(18.97)(6) - 82
= 3,332.6 in.³
Learn more about the volume of a box on:
brainly.com/question/14957364
#SPJ1
Answer:

Step-by-step explanation:
Im assuming it's asking for the area of the shape.
We need to break the shape into two sections as shown in the picture. First we find the area of the rectangle (9×10)
90cm^2
Now for the triangle section (3×10)÷2
15cm^2
Now add up the two amounts.
105cm^2