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1 year ago

Can someone help please and thanks

Mathematics

1 answer:

OleMash [197]1 year ago

4 0

Answer:

Step-by-step explanation:

Find the Supplement to 101

Supplementary angles = 180 degrees

180 = 101 + unknown Subtract 101 from 180

unknown = 79

Because the upper triangle is marked as having 2 equal sides, the left angle is also 79 degrees,

Now the vertex angle is 79 + 79 + y = 180 All triangles have 180 degrees

158 + y = 180 Subtract 158 from both sides

y = 180 - 158

y = 22

y is vertically opposite the vertex angle of the lower triangle. Both the sides are marked as equal, so the angles opposite them are equal as well.

x + x + 22 = 180 Combine

2x + 22 = 180 Subtract 22 from both sides.

2x = 180 - 22

2x = 158 Divide by 2

x = 158/2

x = 79

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Sam is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate the tota

Alexus [3.1K]

Answer:

$210

Step-by-step explanation:

The first thing we can do is to add the $25 back on to the total cost.

25 + 115 = 140.

We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.

Now, to find the original price we can use this equation:

$\frac{2}{3} x = 140$

X represents the original price.

To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

$(\frac{3}{2}) \frac{2}{3}x = 140 (\frac{3}{2})$

Now you can solve:

$x = \frac{420}{2} \\x = 210$

We can check this answer by multiplying 210 by 2/3

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140 - 25 = $115

Therefore, the original price of the skis is $210.

<em>I hope this helps!!</em>

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2 years ago

Jack was 10 years older than priscilla together their ages totaled 170 years what were their ages

Allisa [31]

Are there any answers to choose from?

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2 years ago

Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required

xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

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$A = Pe^{rt}$

Where

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$\frac{9000}{3000} = e^{0.085t}$

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But $log_{e}e = 1$

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Step-by-step explanation:

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