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podryga [215]
3 years ago
9

4. Your Turn: Find the measure of angle B. Enter only the number as your answer. *

Mathematics
1 answer:
enot [183]3 years ago
3 0
Interior angles of a triangle add up to 180 degrees

3x + 2 + 2x + 7 + 41 = 180
5x + 50 = 180
5x = 180 - 50
5x = 130
x = 130/5
x = 26

< A = 3x + 2......3(26) + 2 = 80
< B = 2x + 7......2(26) + 7 = 59
< C                                   = 41
                                     ------------add
               for a total of        180 (correct)

so ur < B = 59 <===
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Ajay's car used 314 gallons of gas on a trip to the beach. Assume 1 gallon = 3.8 liters. What is the best estimate of the number
Marina86 [1]

Answer

Find out the what is the best estimate of the number of liters Ajay's car used .

To prove

As given

Ajay's car used 314 gallons of gas on a trip to the beach.

Assume 1 gallon = 3.8 liters

Than

The number of liters Ajay's car used = 314 × 3.8

                                                             = 1193.2 litres

Therefore 1193.2 litres Ajay's car used .

8 0
3 years ago
The length of a rectangle is 8 inches longer than half of its width.The area of the rectangle is 18 square inches.How many inche
SOVA2 [1]

Answer:

The correct answer is 2 inches.

Step-by-step explanation:

Let l inches and w inches be the length and width of a rectangle respectively.

According to the given problem, l - 8 = \frac{w}{2}.

Area of the rectangle is given to be, according to the question, 18 square inches.

Thus l × w = 18

⇒ l × (2l - 16) = 18

⇒ 2 l^{2} - 16l - 18 = 0

⇒  l^{2} - 8l - 9 = 0

⇒ ( l - 9) ( l + 1) = 0

The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.

Width of the rectangle is 2 inches.

5 0
3 years ago
How do I find the slope of this altitude?<br><br>I am referring to question 19.
Crazy boy [7]
The altitude's slope must be perpendicular to that of the line. 

The slope of segment BC is 2/5. The slope of the altitude must be perpendicular to 2/5. Since the negative reciprocal of 2/5 is -5/2, then the slope of the altitude is -5/2. 
6 0
3 years ago
Read 2 more answers
Ethan burns 650 calories when he runs for 1 hour suppose he runs 5 hours in one week.?
Ray Of Light [21]
1 hr=650
5x650=3250 calories in one week
4 0
3 years ago
Read 2 more answers
3[x + 3(4x – 5)] = 15x – 24
Alex17521 [72]

Answer:

\boxed{ \bold{ \huge{ \boxed{  \sf{x = 0.875}}}}}

Step-by-step explanation:

\sf{3[ x + 3(4x - 5)]  = 15x - 24}

Distribute 3 through the parentheses

⇒\sf{3[ x + 12x - 15 ]  = 15x - 24}

Collect like terms : 12x and x

⇒\sf{3[ 13x - 15 ]  = 15x - 24}

Distribute 3 through the parentheses

⇒\sf{39x - 45 = 15x - 24}

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒\sf{39x - 15x =  - 24 + 45}

Collect like terms

⇒\sf{24x =  - 24 + 45}

Calculate

⇒\sf{24x = 21}

Divide both sides of the equation by 24

⇒\sf{ \frac{24x}{24}  =  \frac{21}{24}}

Calculate

⇒\sf{x = 0.875}

Hope I helped!

Best regards! :D

5 0
3 years ago
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