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Feliz [49]
3 years ago
7

The sum of the measures of the angles shown is 90°.

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:

10). 5x + (7x + 6) = 90

11). x = 7

Step-by-step explanation:

From the picture attached,

Sum of given angles measures 90°

Measures of the angles are (5x)° and (7x + 6)°

Therefore, equation to determine the values of x will be,

5x + (7x + 6) = 90

By combining similar terms of the equation,

12x + 6 = 90

12x = 90 - 6

12x = 84

x = \frac{84}{12}

x = 7

Therefore, by solving the equation value of x will be 7.

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Make v the subject of the formula T = v/6 -5
OverLord2011 [107]

Answer:

Step-by-step explanation:

T=V/6-5

T+5=V/6

6(T+5)=V

V=6T+30

8 0
2 years ago
Find the perimeter of triangle ABC with vertices A(6, 3), B(6, - 2) , and C(- 4, 3) .
anyanavicka [17]

Answer:

26.2 units

Step-by-step explanation:

We are given the points/vertices

A(6, 3),

B(6, - 2) , and

C(- 4, 3)

Step two

Let us find the distances between the given points/vertices

A-B =A(6, 3) to B(6,-2)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((6-6)²+(-2-3)²)

d=√(-2-3)²)

d=√(-5)²)

d=5 units

B-C=B(6, - 2) to C(-4, 3)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((-4-6)²+(3+2)²)

d=√(-10)²+(5)²)

d=√100+25

d=√125

d=11.2 units

C-A=C(-4, 3) to A(6, 3)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((6+4)²+(3-3)²)

d=√(10)²

d=√100

d=10 units

Hence the perimeter is 5+11.2+10

P=26.2 units

4 0
3 years ago
The sum of 3 numbers is 131. the second of three numbers is seven more than twice the first. the third number is 12 less than th
arsen [322]
A+b+c = 131

b = 7 + 2a and c = a - 12
 so a + 7+2a + a-12 = 131
then 4a -5 = 131
then 4a = 136
and a = 34....so b= 75 and c = 22....check 34+75+22=131√
6 0
3 years ago
PLEASE HELP ME FAST!!14 MINUTES LEFT
Irina18 [472]

Answer:

The answer to your question is:  B and D are correct

Step-by-step explanation:

Remember that the sum of the internal angles in a triangle equals 180°.

The sum of supplementary angles equals 180°

Then

                (6x + 1) + (4x + 5) + [180 - (8x + 30)] = 180

                6x + 1 + 4x + 5 + [180 - 8x - 30] = 180

                10x + 6 + 150 - 8x = 180

                2 x = 180 - 156

                2x = 24

                x = 24/2

                x = 12

∠JKL = 4(12) + 5 = 48 + 5 = 53

∠KJL = 6(12) + 1 = 72 + 1 = 73

∠KLJ = 180 - 73 - 53 = 54

∠KLM = 126

7 0
3 years ago
Write in expanded form 5,002,190
makvit [3.9K]
5,000,000+2,000+100+90
5 0
3 years ago
Read 2 more answers
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