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PSYCHO15rus [73]
3 years ago
9

Triangle LMN is congruent to triangle HIJ. Angle L measures 35 angle M measures 65 and angle J measures 2x degrees. Find the val

ue of x.
Mathematics
1 answer:
Arturiano [62]3 years ago
4 0
There are 180 degrees in a triangle, so what you want to do from there is make an equation 35 + 65 + 2x = 180 from there add like terms 100 + 2x = 180 then subtract 100 from 180 to get 2x alone 100 - 100 + 2x = 180 - 100
2x = 180 from there divide 2 from 180 and get the answer x = 78 degrees
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How many ways can an employer send 3 employees to a job fair if she has 11 employees?
algol13

We have to find the number of ways an employer send 3 employees to a job fair if she has 11 employees.

This is the problem from combination.

The formula for combination is given by

^nC_r= \frac{n!}{r!(n-r)!}

Here, n= 11, r= 3

Therefore, total number of ways is given by

^{11}C_3= \frac{11!}{3!(11-3)!}\\
\\
=\frac{11!}{3!8!}\\
\\
=\frac{8!\times 9 \times 10 \times 11}{3!8!}\\
\\
=\frac{9 \times 10 \times 11}{6}\\
\\
=165

A is the correct option.


6 0
3 years ago
A school assembly had 70 students in attendance, and 90% of them were first-graders. How many first-graders were at the assembly
natulia [17]

Answer:

63

Step-by-step explanation:

Because, 100% of 70 would be 7. Now we have that number lets multiply it by 9 because of 90%. 9 x 7 = 63 first-graders

4 0
2 years ago
Solve for b in the literal equation y = 12x + 12b.<br> b=
pantera1 [17]

Answer:

b = \frac{y-12x}{12}

Step-by-step explanation:

subtract 12x from both sides, then divide by twelve.

6 0
3 years ago
Read 2 more answers
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A) -
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3 0
3 years ago
The triangle angle sum property states that the measures of the 3 angles of any triangle must add to 360 degrees.
serg [7]

Answer: False

Step-by-step explanation:

Triangle is a polygon with 3 sides. The formula for calculating the sum of angle in a polygon is given as :

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Therefore : The triangle angle sum property states that the measures of the 3 angles of any triangle must add to 180 degrees.

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