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nikitadnepr [17]
3 years ago
9

Please answer and explain how you did it.

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Refer to the attached image.

Given: m \angle A = 65^\circ and measure of exterior angle at C = 117^\circ.

We have to determine the measure of angle B and angle BCA.

By applying exterior angle property of the triangle which states:

"An exterior angle of a triangle is equal to the sum of the opposite interior angles".

So, exterior angle C = m \angle A + m \angle B

117^\circ = 65^\circ+ m \angle B

m \angle B = 52^\circ

Now, applying angle sum property in triangle ABC which states:

"The sum of all the angles of a triangle is 180 degrees".

m \angle A + m \angle B + m \angle BCA = 180^\circ

65^\circ + 52^\circ + m \angle BCA = 180^\circ

117^\circ + m \angle BCA = 180^\circ

m \angle BCA = 180^\circ - 117^\circ

m \angle BCA =63^\circ

Therefore, the measure of m \angle B = 52^\circ and m \angle BCA =63^\circ.

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Omas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola
Serga [27]

Answer:

Omas can buy 1 pound of walnuts.

Step-by-step explanation:

From the information given, you can say that the total cost would be equal to the result of multiplying the price per pound of granola for the number of pounds of granola plus the result of multiplying the price per pound of walnuts for the number of pounds of walnuts, which would be:

Total cost=2x+6y, where

x is the number of pounds of granola

y is the number of pounds of walnuts

Now, you can replace the values on the formula and solve for y:

12=(2*3)+6y

12=6+6y

6=6y

y=1

According to this, the answer is that Omas can buy 1 pound of walnuts.

4 0
2 years ago
Read 2 more answers
8+—3(6+—6a) help please
LenKa [72]
We know that:

(+)+(-)=(-)

and:

(-)*(+)=(-)

8+(-3)[6+(-6a)]=8+(-3)*6+(-3)*(-6a)=8-18+18a=(-10)+18a

if you have solve for a then:

(-10)+18a=0
18a=10
a= \frac{10}{18}
a=\frac{5}{9}

5 0
3 years ago
HELLLLPPPPPPPPPPPPPPPPPPPPPPPPPPP
Natali5045456 [20]

Answer:

3/1

Step-by-step explanation:

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3 years ago
Plz helppp I don’t understand
Dmitrij [34]

Answer:

5+x=-4, =9

Step-by-step explanation:

5+x=-4 Write equation

-5    -5 Subtract 5 from both sides to isolate x

 +x=-9

4 0
3 years ago
A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height
blondinia [14]

Answer:

<u>1,216 cm³</u>

Step-by-step explanation:

Volume (composite space figure) = Volume (pyramid) + volume (prism)

  • ⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]
  • ⇒ 96 [14/3 + 8]
  • ⇒ 96 [14/3 + 24/3]
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  • ⇒ 32 x 38
  • ⇒ <u>1,216 cm³</u>
3 0
2 years ago
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