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Rufina [12.5K]
3 years ago
14

If lines m and n are parallel in the illustration below. Which of the following must be true about

Mathematics
2 answers:
lesya [120]3 years ago
7 0

Answer:

C. measure of angle T= 95 degrees.

Step-by-step explanation:

same side interior angles are congruent  

qwelly [4]3 years ago
6 0

Answer:

Step-by-step explanation:

Answer  C  is correct:  Angle T is 95°.

Because the two horiz. lines are parallel, the "vertical angle" of angle T is equal to the "corresponding angle" of 95°.

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Femi keeps track of a number of gallons of gasoline he uses for each of several trips. Part A: Complete the table. The vehicle c
Viktor [21]
The table is attached.

A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.

Therefore, the proportionality constant is given by:
k = gasoline / distance
   = 2 / 40
   = 0.05
We could have used also:
k = 3 / 60
   = 0.05

In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 = 1.5
55 × 0.05 = 2.75

In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 = 70

B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline

Therefore: 
y = 0.05·110 = 5.5 

Femi for a trip of 110 miles expects to use 5.5 gallons of gasoline.

8 0
3 years ago
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be wort
gizmo_the_mogwai [7]

Answer:

$638.14

Step-by-step explanation:

Our equation is p*(1+x)^{t}, with p being the starting amount, x being the interest rate, and t being the time. Plugging our variables in, we get

500*(1+0.05)^{5} = around 638.14

6 0
3 years ago
Which equation is represented by the graph below?
marta [7]

Answer:

Hello,

Answer C

Step-by-step explanation:

Since ln(1)=0

if x=1 then y=4 ==> <u>y=ln(x)+4</u>

y=ln(x) is translated up for 4 units.

3 0
3 years ago
If f(x)=3-2x and g(x)=1/x+5, what is the value of [f/g](8)
IrinaVladis [17]
<span>f(x)=3-2x
</span><span>f(8)=3-2(8) = 3 -16 = -13

</span><span>g(x)=1/x+5
</span><span>g(8)=1/8+5 = 1/8 + 40/8 = 41/8

</span><span>[f/g](8) = -13  / (41/8) = -13 * (8/41) = -104/41 = -2 22/41</span>
7 0
3 years ago
- 15 + 21c = - 9 need help asap
Aliun [14]

Answer:

c is 2over 7

Step-by-step explanation:

if yk wat i mwan i mean in fractions like 2 on top and 7 at the bottom

5 0
3 years ago
Read 2 more answers
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