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3 years ago

Please help me asap!

Mathematics

1 answer:

Firdavs [7]3 years ago

7 0

Answer:

Option d) 115 degrees

Step-by-step explanation:

We are given a trapezium ABDE in the picture. AB and ED are the parallel sides.

F is the mid point of AE and C the midpoint of BD. FC is joined.

We are also given that angle of AED = 65 degrees.

To find the measure of angle BAE.

Since sides AB and ED are parallel sides we find that AE is the transvesal intersecting the two parallel lines.

Hence by parallel lines axiom, the two interior angles namely Angle AED and BAE are supplementary.

i.e. 65 +angle BAE=180

Hence angle BAE = 115 degrees.

Option d is the answer.

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Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 99.

8090 [49]

Answer:

An adult ticket is 17

A childs ticket costs 12 dollars

Step-by-step explanation:

Let a = adult price

c = child price

3a + 4c = 99

2a + 3c = 70

Multiply the first equation by 2

2(3a + 4c) = 99*2

6a + 8c = 198

Multiply the second equation by -3

-3 (2a + 3c) = 70*-3

-6a -9c = -210

Add these new equations together

6a + 8c = 198

-6a -9c = -210

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-c = -12

Multiply by -1

c = 12

A childs ticket costs 12 dollars

Now we need to find the price of an adult ticket

2a + 3c = 70

2a + 3(12) = 70

2a +36 = 70

Subtract 36 from each side

2a +36-36 =70-36

2a = 34

Divide by 2

2a/2 = 34/2

a = 17

An adult ticket is 17

7 0

4 years ago

In parallelogram RSWY, find m

LuckyWell [14K]

Answer:

Part A) $m\angle R=110^o$

Part B) $m\angle S=70^o$

Step-by-step explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

step 1

Find the value of x

we know that

$m\angle R=m\angle W$ ----> by definition of parallelogram (opposite angles are congruent)

substitute the given values

$(5x-90)^o=(2x+30)^o$

solve for x

$5x-2x=30+90\\3x=120\\x=40^o$

step 2

Find the measure of angle R

$m\angle R=(5x-90)^o$

substitute the value of x

$m\angle R=(5(40)-90)=110^o$

step 3

Find the measure of angle S

we know that

$m\angle R+m\angle S=180^o$ ---> by definition of parallelogram (consecutive angles are supplementary)

we have

$m\angle R=110^o$

substitute

$110^o+m\angle S=180^o$

$m\angle S=180^o-110^o$

$m\angle S=70^o$

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Mice21 [21]

Answer:

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Step-by-step explanation:

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