Answer:
79°
Step-by-step explanation:
A triangle has 180° in it so 180 - 82 =98- 19=79
Answer:
and 
Step-by-step explanation:
We must solve the quadratic equation to find the values of x that satisfy equality
Subtract 24 on both sides of equality
Now we factor the quadratic equation
Identify two numbers that when you add them you get as a result 2 and when you multiply them you get as a result -24
The numbers sought are: 6 and -4
So the factors are:
Finally note that the solutions are:
and
Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Step-by-step explanation:
!!
The answer I got was 417/50 hope this helps you
Answer:
41 miles per hour
Step-by-step explanation:
This is a fraction equal to
41 miles ÷ 1 gallon
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
41 miles ÷ 1
1 gallon ÷ 1
= 41 miles per gallon
I hope this works
