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jeka94
3 years ago
5

Maths help PLZZ!!!

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Triangle ABC is an isosceles triangle.

Solution:

Given data:

AB is parallel to CD and AC is the transversal.

∠ABC = 70° and ∠ACD = 55°

<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>

∠BAC ≅ ∠ACD

m∠BAC = m∠ACD

m∠BAC = 55°

<em>Sum of the angles in a straight line = 180°</em>

m∠ACD + m∠ACB + m∠ABC = 180°

55° + m∠ACB + 70° = 180°

m∠ACB + 125° = 180°

Subtract 125° from both sides, we get

m∠ACB = 55°

In triangle ABC,

∠BAC = 55° and ∠ACB = 55°

∠BAC = ∠ACB

<em>Two angles in the triangle are equal. </em>

Therefor triangle ABC is an isosceles triangle.

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A rectangular park is 150 yards on one side and 125 yards on the other.
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so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.

So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
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                                    = 2 * 275
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Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.

i.e. Debbie walked 2 * Perimeter
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                               = 1100 yards

Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the  rectangular park (1,000,000 / the Perimeter of the park)
         i.e.  1,000,000 / 550
             = 1818.18 times

So, 
(a) she walks 1100 yards
(b) She have to walk 1818.18 times
4 0
3 years ago
Sum of the numbers m and n decreased by their product; write the algebraic expression​
Oduvanchick [21]
<h3>Answer:   m+n-mn</h3>

You can write mn as m*n

=================================

Explanation:

The sum is the result of adding two or more numbers. Saying the sum of m and n means m+n.

Then we subtract off the product of m and n. The product is the result of multiplying m and n. We say m*n or mn to indicate their product.

Overall, we end up with m+n-mn

8 0
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gogolik [260]

Answer:

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6 0
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AveGali [126]

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7 0
3 years ago
Sophia is at home, and has to
slamgirl [31]

Answer:

Sophia should start her homework at 5:55

Step-by-step explanation:

If it takes her 10 minutes to go to school, 30 minutes to do her homework, and 25 minutes to eat dinner, you should add those numbers together to get 65 because then you can subtract 65 minutes from 7:00 so you get the time she needs to start her homework in order to get to school at 7:00. So basically 10+30+25=65 and then 65 minutes subtracted from 7:00 is 5:55.

I hope this helps you :D

7 0
3 years ago
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