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Makovka662 [10]
3 years ago
11

A) -x + 9 = 56 Solve and verify

Mathematics
1 answer:
leonid [27]3 years ago
3 0

Answer:

-47

Step-by-step explanation:

-x + 9 = 56\\-x = 56-9\\-x = 47\\x = -47 \\\\Verification:\\LHS= - x+9 = -(-47) +9 = 47+9 = 56 = RHS

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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
Solve –vp + 40 < 95 for v.
klasskru [66]
<span>–vp + 40 < 95
-vp < 55
-vp < 55 / p
   v > 55 / p</span>
7 0
4 years ago
Help! I will give brainliest!
alekssr [168]

Answer:

B 24

Step-by-step explanation:

3/5 is 54°

1/3 is 30°

54-30 = 24

8 0
3 years ago
Based on the angle measures what type of triangle is ABD
vodomira [7]
Isosceles triangle because there are 2 angles that's the same.
8 0
3 years ago
Lines AD and BC are parallel.
allochka39001 [22]

*see attachment for the missing figure

Answer:

Angle ADE = 45°

Angle DAE = 30°

Angle DEA = 105°

Step-by-step explanation:

Since lines AD and BC are parallel, therefore:

Given that angle Angle CBE = 45°,

Angle ADE = Angle CBE (alternate interior angles are congruent)

Angle ADE = 45° (Substitution)

Angle DAE = Angle ACB (Alternate Interior Angles are congruent)

Angle ACB = 180 - 150 (angles on a straight line theorem)

Angle ACB = 30°

Since angle DAE = angle ACB, therefore:

Angle DAE = 30°

Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)

Angle DEA = 180 - (45 + 30) (Substitution)

Angle DEA = 180 - 75

Angle DEA = 105°

8 0
3 years ago
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