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mafiozo [28]
3 years ago
9

∠1 and ​ ∠2 ​ are a linear pair, and ​ ∠2 ​ and ​ ∠3 ​ are vertical angles. m∠1=(5y−8)∘ and ​ m∠2=(12+6y)∘ .

Mathematics
2 answers:
77julia77 [94]3 years ago
7 0
When two angles are a linear pair, the sum of their measures is 180°:
∡1 + ∡ 2 = 180°

Substituting the expressions for the angles, you get:
<span>5y − 8 + 12 + 6y = 180

Solve for y:
11y = 176
y = 176/11

Now, substitute this value in the expression for </span>∠2, which is the one we are interested in:
∡2 = 12 + 6y = 12 + 6×(<span>176/11) = 108°

When two angles are vertical angles, it means that they share the same vertex and they have the same measure, therefore:
</span>∡3 = ∡2 = 108°

Hence, the correct answer is <span>C) 108°. </span>
Dimas [21]3 years ago
4 0

Answer:

answer is 108 im with k12

Step-by-step explanation:

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Do numbers have a fixed value even though their values are represented
AlexFokin [52]

Answer:

yes

Step-by-step explanation:

3 0
2 years ago
Jack’s new truck costs $325 per month for car payments. In addition, he estimates that gas and maintenance expenses cost $0.23 p
FromTheMoon [43]

$612.04  will Jack have to pay if he drives 1,248 miles in one particular month .

<u>Step-by-step explanation:</u>

Here we have  , Jack’s new truck costs $325 per month for car payments. In addition, he estimates that gas and maintenance expenses cost $0.23 per mile.  We need to find :

a. Express the monthly cost as a function of the miles driven.

 Let number of miles driven be x  , & monthly cost be y So , equation is :

⇒ y=0.23x+325 , Where 325 is Jack’s new truck costs $325 per month for car payments .

b. How much will Jack have to pay if he drives 1,248 miles in one particular month?

According to question we have ,

x=1,248

Putting value of x in y=0.23x+325 we get:

⇒ y=0.23x+325

⇒ y=0.23(1248)+325

⇒ y=287.04+325

⇒ y=612.04\

Therefore , $612.04  will Jack have to pay if he drives 1,248 miles in one particular month .

5 0
3 years ago
7 x-3(4 x-8)&lt;6 x+12-9 x
kari74 [83]

Answer:

x > 6

Step-by-step explanation:

1.) Distribute - 3 through the parenthesis

7x-3(4x-8)<6x+12-9x

7x-12x+24<6x+12-9x

2.) Then collect like terms

7x-12x+24<6x+12-9x

7x-12x+24<-3x+12

7x-12x+24<-3x+12

-5x+24<-3x+12

3.) Move the <u>variable</u> to the left and change the sign

-5x+24<-3x+12

-5x+3x+24<12

4.) Move the <u>constant</u> to the right and change it's sign

-5x+3x+24<12

-5x+3x<12-24

5.) Collect like terms

-5x+3x<12-24

-2x<12-24

6.) Calculate the difference

-2x<-12

7.) Divide both sides by -2 and flip the inequality sign

-2x<-12

x>6

6 0
2 years ago
Can somebody help me with this?????
sergejj [24]
D. You multiply all measurements together. The thickness has nothing to do with how much air will be inside. (: hope this helped ya :)
7 0
3 years ago
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On Friday and Saturday, there were a total of 200 cars in a parking lot. On Friday, there were 120
alexandr1967 [171]

Answer:

0.4

Step-by-step explanation:

4 0
2 years ago
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