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bulgar [2K]
2 years ago
12

What is m angle 1? 35° 40° 55° 70°

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
5 0

9514 1404 393

Answer:

  (b)  40°

Step-by-step explanation:

Angle x and the one marked 70° are alternate interior angles, so are congruent. The sum of the two base angles of the isosceles triangle is ...

  x° +x° = 70° +70° = 140°

So, the remaining angle 1 in the triangle is ...

  180° -140° = 40°

  ∠1 = 40°

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A toll collector on a highway receives ​$8 for trucks and ​$5 for sedans. At the end of a 3​-hour ​period, she collected ​$208.
Vilka [71]

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

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(25 trucks ,1 sedans)

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(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The  cost for trucks =$5

The cost for sedans  =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

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5(25) + 8(1) = 208

5(32) + 8(6) =208

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8 0
2 years ago
Need help with number 3 inequalities with variables on both sides
Volgvan

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

\displaystyle{2x-3 \leq \dfrac{x}{2}}

First, get rid of the denominator by multiplying both sides by 2:

\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}

Add both sides by 6 then subtract both sides by x:

\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}

Then divide both sides by 3:

\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}

Therefore, the answer is x ≤ 2

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3 years ago
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mina [271]

Answer:

where is your shape

Step-by-step explanation:

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na

7 0
2 years ago
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Which value for x makes the sentence true?<br><br> 2.45 + x = 3.64
Scrat [10]

Answer:

1.19

Step-by-step explanation:

You're trying to figure out what x is here.

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Since both sides are equivalent, when you subtract 2.45 from the x side, you also subtract it from the other side too.

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