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Irina18 [472]
3 years ago
13

If the measure of angle 2 is (5 x + 14) degrees and angle 3 is (7 x minus 14) degrees, what is the measure of angle 1 in degrees

?
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4.
88 degrees
89 degrees
90 degrees
91 degrees

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

89 degrees

Step-by-step explanation:

The angle 1 is the same as angle 3.

Angle 2 is the same as angle 4.

The sum of these four angles is 360 degrees.

We have that:

Angle 2 = Angle 4 = 7x - 14

Angle 3 = Angle 1 = 5x + 14

Finding x:

Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360

2*(5x + 14) + 2*(7x - 14) = 360

10x + 28 + 14x - 28 = 360

24x = 360

x = 15

Angle 1:

5x + 14 = 5*15 + 14 = 89 degrees

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Solve for x: -6(x + 4) + 9 > -5(x + 6)
devlian [24]

Answer:

x < 15

Step-by-step explanation:

Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".

On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:

-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24

On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:

-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30

Now put these back in:

-6(x + 4) + 9 > -5(x + 6)

-6x - 24 + 9 > -5x - 30

-6x - 15 > -5x - 30

x < 15

Thus the answer is x < 15.

Hope this helps!

3 0
3 years ago
The largest 4 digit number exactly divisible by 88 is: a.9944 b.9768 c.9988 d.8888 ​
serious [3.7K]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Write an inequality to represent the situation. <br> A cheese pizza costs at least $5.
Nady [450]
<
-  5 dollars, the V thing sits on top of the line and 5 comes after signifying that it could be 5 dollars or more
8 0
3 years ago
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A Ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial
DaniilM [7]

The test statistic z will be equal to -0.946 and it shows that there is no significant difference in the proportion of rehires between full time and part time.

Given sample sizes of 833 and 386 and result of samples 434 and 189.

n_{1} =833,     n_{2}=386

Proportion  of full time=434/833=0.52

Proportion of part time=189/386=0.49.

Difference in proportion =0.52-0.49

H_{0}:TTF- i∈ rho=0

H_{1}: TTF+i∈ rho≠0.

Mean of difference=0.03

Z=(X-μ)/σ

σ=\sqrt{0.4517/447}

=0.0317

σ=0.0317

z=(0-0.03)/0.0317

=-0.03/0.0317

=-0.317

p value will be =0.1736.

Because p value is greater than 0.01 so we will accept the null hypothesis which shows that there is no significant difference in the proportions.

Hence there is no significant difference in the proportion of rehires between full time and part time.

Learn more about z test at brainly.com/question/14453510

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6 0
2 years ago
Zak and Ryan earn $60 per week for delivering pizzas. Zak worked for x weeks and earned an additional total bonus of $25. Ryan w
Inessa05 [86]

Answer:

60x + 25 + 60y

Step-by-step explanation:

60 times x plus 60 times y plus 25

4 0
3 years ago
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