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Setler79 [48]
3 years ago
7

A small explanation would be really appreciated​

Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Step-by-step explanation:

the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)

since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles

Topic: angle properties

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

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Find the measure of each side indicated. Round to the nearest tenth. Picture included below.
skad [1K]

Step-by-step explanation:

Use the sine and cosine trig functions

21) cos(52)=13/x

x=13/cos(52)

x=21.1

22) sin(75)=6/x

x=6/sin(75)

x=6.2

4 0
3 years ago
A manager checked production records and found that a worker produced 200 units while working 40 hours. In the previous week, th
jeka94

Answer:

a. Current: 5 units/hour. Previous: 4.4 units/hour

b. Increase

Step-by-step explanation:

a. Current period productivity is 200 / 40 = 5 units/hour

Previous period productivity is 132 / 30 = 4.4 units/hour

b. As this week's productivity = 5 units/hours which is larger than last week's productivity = 4.4 units/hour. The worker's productivity for this week has increased.

4 0
3 years ago
Carisssa's favorite cereal box is 14.5 inches tall 9.5 inches wide and 1.5 inched deep. What is the volume of the cereal box?
Lerok [7]

Answer:

206.625

Step-by-step explanation:

3 0
3 years ago
Three consecutive integers can be represented by the variable n, n+1 and n+2. If the sum of three consecutive integers is 57, wh
pashok25 [27]
You have some unknown integer n, and you know that adding this and the next two integers, n+1 and n+2, gives a total of 57.

This means

n+(n+1)+(n+2)=57

The task is to find all three unknown integers. Notice that if you know the value of n, then you pretty much know the value of the other three integers.

To find n, solve the equation above:

n+(n+1)+(n+2)=3n+3=57\implies 3n=54\implies n=\dfrac{54}3=18

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7 0
3 years ago
Read 2 more answers
5+(−4)+(−7)+2 jijujuijuijuijujijuijuijuijiji
Maurinko [17]

Combine the terms. Note that: one positive and one negative sign results in a negative sign.

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1 + (-7) = 1 - 7 = -6

-6 + 2 = -4

-4 is your answer

~

8 0
3 years ago
Read 2 more answers
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