Answer:
angle(2) = 118 degree
angle(3) = 118 degree
angle(4) = 62 degree
Step-by-step explanation:
To find angle 2 :
The rule (head to head):
angle(2) = angle(3) = 118 degree
And the last one is angle(4) which is the same thing:
angle(4) = angle(1) = 62 degree
Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- Jim's car holds 14 gallons of fuel, hence
.
- Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is
.
Hence, the function is:
You can learn more about linear functions at brainly.com/question/25898120
Answer:
0.186
Step-by-step explanation:
6.2
<u>x 0.0</u><u>3</u>
6
1
6.2
<u>x 0.0</u><u>3</u> since 6*3=18, we have to carry the 1
86
1
6.2
<u>x 0.0</u><u>3</u>
186
6.2
<u>x 0.</u><u>0</u><u>3</u>
186
0
6.2
<u>x 0.</u><u>0</u><u>3</u>
186
00
6.2
<u>x </u><u>0</u><u>.03</u>
186
00
0
6.2
<u>x </u><u>0</u><u>.03</u>
186
+ 00 add the partial products
<u> 0</u><u>0 </u>
00186
6.2
<u>x 0.</u><u>03</u><u> </u> count how many digits are after the decimal point from each factor =3 and place in product
186
+ 00
<u> 00 </u>
00.186=0.186
<em>answer=0.186</em>
Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
Answer: Choice B) 
We have some value m and we're squaring it to get 
To undo this and isolate m, we apply the square root to both sides
There are two solutions here. This is similar to how there are two solutions in something like 
(those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because
negative times negative = positive.
