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Misha Larkins [42]
2 years ago
5

Find m S.

Mathematics
1 answer:
Artist 52 [7]2 years ago
4 0

Answer:

70

Step-by-step explanation:

two opposite interior angles =an exterior angle

11x-5+14x=120

25x-5=120

25x= 120+5

25x=125

25x/25=125/25

x = 5

angle S= 14x

= 14(5)

=70°

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-------
Tomtit [17]

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

Step-by-step explanation:

Step 1 :

The fixed charges for the pick up = $3

Charges per mile = $1.50

Let s denote the total miles driven and t be the total cost for the trip

This can be represented by the equation

t = 3 + 1.5s

Step 2:

Distance traveled by Jonathan in his trip = 10 miles

So cost for riding 10 miles is

t = 3 + 1.5(10) = 3 + 15 = $18

The cost for 10 mile taxi ride is $18

Step 3 :

If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3

Step 4 :

Answer :

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

3 0
2 years ago
If you buy a car for 15500 an average on an average a new car loses 11% of its value the moment that is driven off the lot once
AfilCa [17]

Answer:

$13,795

Step-by-step explanation:

15500/x=100/11

(15500/x)*x=(100/11)*x       - we multiply both sides of the equation by x

15500=9.0909090909091*x       - we divide both sides of the equation by (9.0909090909091) to get x

15500/9.0909090909091=x  

1705=x  

x=1705

now we have:  

11% of 15500=1705

8 0
2 years ago
Find the measures of the angles of a triangle of the measure of one angle is three times the measure of a second angle and the t
Vinil7 [7]

Answer:

hii

x=30

Step-by-step explanation:

x+3x+5x-90=180

9x=270

x=30

5 0
2 years ago
Given that e= 2i – 5j + 9k and f= 8i + 15j + k, find 3f – 2e.
ipn [44]

Plug in "8i + 15j + k" for "f", and "2i – 5j + 9k" for "e"

3(8i + 15j + k) - 2(2i – 5j + 9k)

Distribute 3 to (8i + 15j + k) & - 2 to (2i – 5j + 9k)

3(8i + 15j + k) = 24i + 45j + 3k

-2(2i - 5j + 9k) = -4i + 10j - 18k

-------------------------------------------------------------------------------------------------------------------

Simplify. Combine like terms

24i - 4i + 45j + 10j + 3k - 18k

(24i - 4i) + (45j + 10j) + (3k - 18k)

20i + 55j - 15k is your answer, or (C)

-------------------------------------------------------------------------------------------------------------------

hope this helps

5 0
2 years ago
Read 2 more answers
SIS<br> 2log(x + 86) = 4<br> EE<br> S<br> -
mina [271]

Answer:I think your Answer would be x=14 but I am not sure.

Step-by-step explanation:

2log 10 (x+86)=4

Determine the defined

2log 10 (x+86)=4,x >-86

Divide both sides by 2

log 10 (x+86)=2

Solve by converting the logarithm into exponential form

x+86=10 2

Evaluate the power

x+86=100

Move constant to the right

x=100-86

Subtract the numbers

x=14,x>-86

Check if the solution is in the defined range

SOLUTION

X=14

4 0
3 years ago
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