Answer:
1) <DHG = 94 degrees
2) <3 = 29 degrees
3) <1 = 47 degrees
4) <5 = 78 degrees
5) <4 = 60 degrees
Step-by-step explanation:
1). 2a -3 = 4a -10 (vertical angles)
- 3 + 10 = 4a - 2a
7 = 2a
a = 7/2
<5 = 2(7/2) - 3 = 4 degrees and <3 = 4(7/2) - 10 = 4 degrees
<DHG = 90+4 = 94 degrees
2). 4p+5+2p+1 90 (complementary angles)
6p+6 = 90
6p = 90-6
p = 84/6
p = 14
<1 = 61 degrees and <5 = 29 degrees
<3 = 29 degrees
3). 4w - 13 + 2w + 18 = 90 (complementary angles)
6w + 6 =90
6w = 90-6
W = 14
m<BHC = 4(14) - 3 = 53 and m<DHC = 2(14)+19 = 47
<1 = 47 degrees
4). <1 = <4 (vertical angles)
2d+7=3d-15
7+15 = 3d-2d
d = 22
<1 = 2(22)+7=51 and <4 = 3(22)-15=51
<5 = 180 - 102 = 78 degrees
5). 5r + 20 + 3r = 180
8r = 180 - 20
r = 160/8
r = 20
<AHB = (3)(20) = 60
<AHF = 180-60 = 120
<AHG = 120/2 = 60
<AHG = <4 (vertical angles = 60 degrees
X= -3-y
y= 2(-3-y) +2
y= -6 -2y +2
3y = -4
y= -4/3
x= -5/3
Answer:
200 in3
Step-by-step explanation:
To find the volume of a rectangular prism you multiply each dimension to each other. 8*2 is 16, and 16*12.5 is 200. This means the volume is 200 in3.
Hope this helps :)
The amount of money the family still needs to save is $2236.
<h2>Linear system</h2>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
Their vacation savings account currently has a balance of $2,764.
The family would like to have at least $5,000.
<h3>To find </h3>
The amount of money the family still needs to save.
<h3>How to find the amount of money the family still needs to save?</h3>
Forming the equation, we get
Let x be the amount needed to save. then
x + 2764 ≥ 5000
On simplifying, we get
x + 2764 ≥ 5000
x ≥ 5000 - 2764
x ≥ 2236
Thus, the amount of money the family still needs to save is $2236.
More about the linear system link is given below.
brainly.com/question/20379472
Answer:
25% reduced
Step-by-step explanation:
45/60= .75
1-.75=.25
