<h3>
Answer: m = 25</h3>
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Work Shown:
Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.
Angle B is shown to be 20 degrees, so,
angle E = angle B
2(m-15) = 20
m-15 = 20/2
m-15 = 10
m = 10+15
m = 25
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A slightly alternative way to solve:
2(m-15) = 20
2m-30 = 20
2m = 20+30
2m = 50
m = 50/2
m = 25
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Checking the answer:
2(m-15) = 20
2(25-15) = 20
2(10) = 20
20 = 20
We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.
X/4 +5/8 = 3/8
X/4 = 3/8-5/8
X/4 = (3-5)/8
X/4 = -2/8
Multiply both sides by 4 we get
4x/4 = -8/8
X = -1
The Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the age of the Julia is x years when Michael is 60
Julia's age = 14 years in 2021
Age of Michael = 2.50×14 = 35 years
Increase in age Michael of 60 – 35 = 25
x = 14+25 = 39 years
Thus, the Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
Answer:
15,000 mm^3
Step-by-step explanation:
volume of the 2 stacked granola bars = volume of one granola bar x 2
volume of one granola bar = Volume of a prism = base area x height
5 x 55 x 30 x 2 = 15,000
Answer: Y= -4X -6
Step-by-step explanation:
First, you need to get y by itself
so subtract 4x and 6 from each side
y = -4x -6