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3 years ago

Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 3y - 4, BC = 2y -3, and CD = 4y - 18, find the value of y.

Mathematics

1 answer:

Kryger [21]3 years ago

8 0

Answer:

(6)

Step-by-step explanation:

Since it is an isosceles trapezoid the length of the two legs (i.e. AB = 5y-10 and CD = 2y+8) are equal. In other words,

5y - 10 = 2 y + 8

Subtract 2y from each side:

5y - 2y - 10 = 8

Now add 10 to each side

5y - 2y - 10 + 10 = 8 + 10 =>

3y + 0 = 18 =>

3y = 18 =>

y = 6

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A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month.

kumpel [21]

Answer:

Step-by-step explanation:

Given that:

Initial payment done for buying the phone = $50

Charges per month for the phone = $25 per month

To find:

The equation to represent the situation and its slope.

Solution:

First of all, let us assume that $m$ represents the number of months for which monthly is to be made.

Charges paid for one month = $25

Charges paid for $m$ months = $25 $m$

Total cost of the phone = Initial payment + Charges paid for $m$ months

$C = 25m + 50$

It is a linear equation between two variables $C$ and $m$ .

This equation can be compared with slope intercept form of a line.

Slope intercept form of a line is represented by:

$y=Mx+c$

$M$ is the slope.

On Comparing, we get:

$y = C, M = 25, x = m, c = 50$

Therefore, the slope is <em>25</em>.

5 0

2 years ago

Please help I will mark brainliest

den301095 [7]

Answer:

Choice 1) no

Choice 2) yes

Choice 3) yes

Choice 4) no

Choice 5) yes

Choice 6) no

6 0

2 years ago

Read 2 more answers

Can someone please answer. There is one problem. There's s picture. Thank you!

Pepsi [2]

The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get $180-(57+90)=33\textdegree.$

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

$\frac{\sin(A)}{a} = \frac{\sin(B)}{b}$

For this problem, we'll let the height of the hot air balloon be $a=15$ and its respective opposite angle be $A=33\textdegree$ , and let the missing x-distance be $b$ , with its respective opposite angle $B=57\textdegree$ . Note, we're solving for $b$ .

$\frac{\sin(33)}{15} = \frac{\sin(57)}{b} \\ \\
b\times sin(33)=15\times \sin(57) \\ \\
b=\frac{15\times \sin(57)}{sin(33)} \\ \\
b\approx \frac{15\times 0.84}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx 23.3$

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.

8 0

3 years ago

Please help hurry i will give brain

mars1129 [50]

Answer:

Step-by-step explanation I counted the numbers.

7 0

2 years ago

An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis. The company has set

jeyben [28]

The best firm for the Appliance manufacturer for the repair work is Firm 2 .

In the question ,

it is given that ,

An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis .

The acceptable range of the repair time is 50 minutes to 90 minutes.

the mean repair time for firm 1 = 74 minutes and standard deviation of 4 minutes .

the mean repair time for firm 2 = 72 minutes and standard deviation of 5.1 minutes .

the range is calculated using the formula

Range = Mean ± Standard Deviation

So , for firm 1 ,

the Range = 74 ± 4

= 74 $+$ 4 and 74 - 4

= 78 and 70

the range for firm 2 is

= 72 ± 5.1

= 72 $+$ 5.1 and 72 - 5.1

= 7.1 and 66.9

The second company has a lower range and it should be preferred .

Therefore , The best firm for the Appliance manufacturer for the repair work is Firm 2 .

Learn more about Standard Deviation here

brainly.com/question/23611887

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1 year ago