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Rainbow [258]
2 years ago
10

Find the value of x.

Mathematics
1 answer:
Tresset [83]2 years ago
8 0

Answer:

  x = 117

Step-by-step explanation:

The sum of the interior angles of a pentagon is 180°(5 -2) = 540°. This means ...

  x +59 +138 +140 +86 = 540

  x +423 = 540 . . . simplify

  x = 117 . . . . . . . . subtract 117

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Find the solution set for the following problem. 5 diminished by 3 times a number is at most 11.
sergiy2304 [10]

Answer:

B) {x | x ≥ -2}

Step-by-step explanation:

We have to find a number that when subtracted 3 times from number 5 will get a result that is ≤ 11.  We can make the following inequality out of what we know:

5 - 3x ≤ 11

We just have to isolate x:

5 - 3x ≤ 11

5 - 11 ≤ 3x

-6 ≤ 3x

-2  ≤ x

x ≥ -2

And you can verify it... by testing with

-1 ⇒ 5 - (-3) ≤ 11, 8 ≤ 11 YES

and -3 ⇒ 5 - (-9) ≤ 11, 14 ≤ 11 NO

5 0
3 years ago
Help me on these questions it's 15points
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7 0
2 years ago
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Divide and Simplify completely, show your work: I want to see the problem rewritten
svet-max [94.6K]

Answer:

The answer is 9/10.

Step-by-step explanation:

Step 1: 3/4/5/6. This means, 3/4 is being divided by 5/6 and so you write it in that form. Take this for an example. 2/4 divided by 3 is 2/4/3.

Step 2: 3/4 ÷ 5/6. This is because, we want the question to be easy to simplify. Also, we want to write the division question as a multiplication problem. And this sign ( / ) means to divide.

Step 3: 3/4 × 6/5. This is because in Maths, when a fraction is dividing another fraction, that fraction is reciprocated ( the fraction at the right side.) Reciprocated here means the denominator is made the numerator and the numerator is made the denominator.

Step 4: 3/2 × 3/5. How? We cancelled out. 2 goes into 4 twice and into 6 thrice.

Step 5: 9/10. We multiplied 3/2 × 3/5 to get 9/10.

4 0
2 years ago
Point D is rotated 180 degrees using B as the center. Explain why the image of D must lie on the ray BA.
Igoryamba

Answer:

The image of D must lie on the ray BA, since ray BA is antiparallel to ray BD. That is, the angle between both rays is 180 degrees.

Step-by-step explanation:

Let be D' the image of D such that D is rotated 180 degrees counterclockwise with B as center of rotation.

D' must lie on the ray BA, since ray BA is antiparallel to ray BD. That is, the angle between both rays is 180 degrees.

5 0
3 years ago
Which relation is a function of x?
stiv31 [10]

Answer:

x3

Step-by-step explanation:

7 0
3 years ago
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