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3 years ago

11

Ken predicts that the average temperature will be-5C in Decjember. If he predicts the temperature will rise 6 C in January and f

all 3 C in February,which of the following equations can he use to fin. the sum of the temperatures for those months?

2 answers:

Andrews [41]3 years ago

5 0

Answer:

-5+6-3

Step-by-step explanation:

DUH!!!!!

frozen [14]3 years ago

5 0

Answer:

[(–5) + (–3)] + 6 = –2 and [6 + (–5)] + (–3) = –2

Step-by-step explanation:

DUH!! (as one guy said) this time im right tho.

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13 POINTS- please help me

allsm [11]

Answer:

See explanation

Step-by-step explanation:

16. Two parallel lines are cut by transversal. Angles with measures $(6x+20)^{\circ}$ and $(x+100)^{\circ}$ are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

$6x+20=x+100\\ \\6x-x=100-20\\ \\5x=80\\ \\x=16$

Then

$(6x+20)^{\circ}=(6\cdot 16+20)^{\circ}=116^{\circ}\\ \\(x+100)^{\circ}=(16+100)^{\circ}=116^{\circ}$

17. Two parallel lines are cut by transversal. Angles with measures $(2x+12)^{\circ}$ and $(3x-22)^{\circ}$ are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:

$2x+12=3x-22\\ \\2x-3x=-22-12\\ \\-x=-34\\ \\x=34$

Then

$(2x+12)^{\circ}=(2\cdot 34+12)^{\circ}=80^{\circ}\\ \\(3x-22)^{\circ}=(3\cdot 34-22)^{\circ}=80^{\circ}$

18. Two parallel lines are cut by transversal. Angles with measures $(6x-7)^{\circ}$ and $(5x+10)^{\circ}$ are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

$6x-7=5x+10\\ \\6x-5x=10+7\\ \\x=17$

Then

$(6x-7)^{\circ}=(6\cdot 17-7)^{\circ}=95^{\circ}\\ \\(5x+10)^{\circ}=(5\cdot 17+10)^{\circ}=95^{\circ}$

19. The diagram shows two complementary angles with measures $2x^{\circ}$ and $56^{\circ}$ . The measures of complementary angles add up to $90^{\circ},$ then

$2x+56=90\\ \\2x=90-56\\ \\2x=34\\ \\x=17$

Hence,

$2x^{\circ}=2\cdot 17^{\circ}=34^{\circ}$

Check:

$34^{\circ}+56^{\circ}=90^{\circ}$

20. Angles $\angle 1$ and $\angle 2$ are vertical angles. By vertical angles theorem, vertical angles are congruent, so

$m\angle 1=m\angle 2\\ \\5x+7=3x+15\\ \\5x-3x=15-7\\ \\2x=8\\ \\x=4$

Hence,

$m\angle 1=(5x+7)^{\circ}=(5\cdot 4+7)^{\circ}=27^{\circ}\\ \\m\angle 2=(3x+15)^{\circ}=(3\cdot 4+15)^{\circ}=27^{\circ}$

21. $\angle 5$ and $\angle 8$ are supplementary. The measures of supplementary angles add up to $180^{\circ},$ so

$m\angle 5+m\angle 8=180^{\circ}\\ \\3x-40+7x-120=180\\ \\10x-160=180\\ \\10x=180+160\\ \\10x=340\\ \\x=34$

Therefore,

$m\angle 5=(3x-40)^{\circ}=(3\cdot 34-40)^{\circ}=62^{\circ}\\ \\m\angle 8=(7x-120)^{\circ}=(7\cdot 34-120)^{\circ}=118^{\circ}\\ \\62^{\circ}+118^{\circ}=180^{\circ}$

7 0

2 years ago

Why is the product of 5/4 and 4 larger than 4?

zubka84 [21]

A simple answer is because 4 and 5/4 is equal to 5 and 1/4. Because 5/4 is 1/4 more than 4/4, or 1.

5 0

3 years ago

Assume you have a poker chip set containing blue, red, and white chips, all of the same size. You place 30 blue chips, 20 red ch

Zigmanuir [339]

Answer:

0.3

Step-by-step explanation:

30/(30+20+50) = 30/100 = 0.3

3 0

3 years ago

Which type of triangle has side measures of 5 cm, 9 cm, and 12. 7 cm and one angle measure of 128°?.

Verdich [7]

we have different side lengths and thus different angles anyhow, meaning is an Scalene triangle.

6 0

2 years ago

Which operation should you perform first in the expression 15 + 7 × (5 − 3) × 42 ÷ 6?

Marina CMI [18]

(5-3)

I Hope I Helped! :D

7 0

2 years ago

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