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3 years ago

Can anyone please help with these 2 questions. If you can, please show step-by-step.

Mathematics

2 answers:

valentinak56 [21]3 years ago

8 0

Answer:

1. x = 21

2. m∡ABC = 51°

Step-by-step explanation:

First problem, solve for x

the sum of inside angles of a triangle is 180

also the supplementary angle for L = 180 - 100 is 80°

now you can add all angles

80 + 2x - 11 + 2x + 27 = 180

4x + 96 = 180

4x = 84

x = 21

Second problem, solve for m∡ABC

the sum of inside angles of a triangle is 180

also the supplementary angle for C = 180 - 148 is 32°

now you can add all angles

31 + 2x - 15 + x - 5 = 180

3x + 12 = 180

3x = 168

x= 56,

now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°

GrogVix [38]3 years ago

5 0

Answer:

Step-by-step explanation:

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For his phone service, David pays a monthly fee of $23, and he pays an additional $0.07 per minute of use. The least he has been

Sergeu [11.5K]

Answer:

1019/minutes

Step-by-step explanation:

$94.33 - $23 = $71.33

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I hope this helps...

4 0

3 years ago

The region bounded by y=5/x, y=0, x=1, and x=3 is rotated about the x-axis. find the volume of the resulting solid.

brilliants [131]

Volume of Revolution = $\pi \int\limits^b_a {y^{2}} \, dx$
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6 0

4 years ago

It costs $35 per hour to rent a boat at the lake. You also need to pay a $25 fee for safety equipment. You have $200. For how lo

kobusy [5.1K]

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3 years ago

a table was sold at 20%loss but had it sold for RS 160 more these would have been a profit 20%. find cp

jekas [21]

Answer:

Rs 400

Step-by-step explanation:

Let us assume that the cost price of the article = x

Selling price = S.P

Cost price = C.P

Loss = %Loss × C.P(percentage loss × Cost Price)

S.P = C.P - Loss

In the question, Loss = 20%

S.P = x - 20x/100

Find the Lowest Common Multiple

S.P= 100x - 20x/100

S.P = 80x/100.........Equation 1

In the question, we are told if the article was sold for RS 160 more, it would have made a profit of 20%

Profit = %profit × C.P(percentage profit × Cost Price)

S.P = C.P + Profit

In the question, profit = 20%

S.P = x + 20x/100

Find the Lowest Common Multiple

S.P= 100x + 20x/100

S.P = 120x/100.........Equation 2

Hence,

Equation 2 - Equation 1 = Rs 160

= 120x/100 - 80x/100 = 160

= 40x/100 = 160

Cross multiply

40x = 100 × 160

40x = 16000

x = 16000/40

x = Rs 400

Since x = Cost price, the cost price of the table = Rs 400

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3 years ago

A pair of skis were $275 but were on sale for $195. What percent reduction is this?

Stels [109]

$275*x%=195

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7 0

4 years ago