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tatyana61 [14]
3 years ago
12

Which angle pairs are supplementary? Check all that

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

Answer:

Option B, C and E are supplementary angles.

Step-by-step explanation:

We need to find supplementary angles.

Supplementary angles are those angles who sum up to 180 °.

I have attached picture for reference.

Looking at the figure given:

We have supplementary angles:

  • ∠4 and ∠3
  • ∠4 and ∠5
  • ∠5 and ∠6
  • ∠7 and ∠8
  • ∠3 and ∠6

But the options given are: ∠4 and ∠3,∠4 and ∠5, ∠3 and ∠6

So, Option B, C and E are supplementary angles.

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Is line BC parallel to DE? Choose the best justification.
Aleksandr [31]

Answer:

C

Step-by-step explanation:

The last one.

Hope this helped!

5 0
3 years ago
Help me with those two questions
Ksenya-84 [330]

Given:

A figure in which a transversal line intersect two parallel lines.

m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68 and m\angle 3=3y-2.

To find:

The value of x and y.

Solution:

We know that, if a transversal line intersect two parallel lines, then

(1) Alternate exterior angles are equal.

(2) Same sided interior angles are supplementary. So their sum is 180 degrees.

In the given figure j and k are parallel lines and l is a transversal line.

From the given figure, it is clear that,

m\angle 2=m\angle 7                (Alternate exterior angles are equal)    

4x+7=5x-13

7+13=5x-4x

20=x

Therefore, the value of x is 20.

Now,

\angle 3+\angle 5=180     (Same sided interior angles are supplementary)

3y-2+68=180

3y+66=180

3y=180-66

y=\dfrac{180-66}{3}

y=\dfrac{114}{3}

y=38

Therefore, the value of y is 38.

3 0
3 years ago
What is the greatest common factor of 48, 112, and 80
pickupchik [31]

9514 1404 393

Answer:

  16

Step-by-step explanation:

48 = 16·3

112 = 16·7

80 = 16·5

3, 5, 7 have no common factors. The GCF of {48, 112, 80} is 16.

_____

It can be helpful to recognize 48 = 16·3 and 80 = 16·5. A simple check shows 112 = 16·7, so 16 is the GCF.

__

You can find GCF(48,112) using Euclid's algorithm:

  112 mod 48 = 16

  48 mod 16 = 0   ⇒   GCF(48, 112) = 16

and the GCF(16, 80) is ...

  80 mod 16 = 0   ⇒   GCF(16, 80) = 16

So, GCF(48, 80, 112) is 16.

4 0
3 years ago
Simplify please. i'm failing and grade cost 4 summitives.
Natasha_Volkova [10]

Answer:

D = 15

Step-by-step explanation:

|-10|+|5|=10+5=15

|-10|=10

|5|=5

7 0
3 years ago
Read 2 more answers
Find the value of x so that the function has the given value.<br><br> f(x) = 6x+9; f(x)=21
VashaNatasha [74]

Answer: =135

Step-by-step explanation:

f(x) = 6(21)+9

f(x)= 135

8 0
3 years ago
Read 2 more answers
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