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3 years ago

Find the values of x and y given that ABCD is congruent to EFGH.

Mathematics

1 answer:

Kazeer [188]3 years ago

7 0

Answer:

x=7 , y = 8.

Step-by-step explanation:

10x+65 = 135

or, 10x = 70

so, x = 7

Now,

4y-4=28

or, 4y = 32

so, y = 8

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Need to know these two problems

Arturiano [62]

Multiple 16 by 1 and then divide by 8 which makes 2.

Multiply 36 by 1 and then divide by 9 which makes 4.

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3 years ago

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A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation $A=45e^{-0.05t}$ .

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate $A=15$ and solve for t as:

$15=45e^{-0.05t}$

$\frac{15}{45}=\frac{45e^{-0.05t}}{45}$

$\frac{1}{3}=e^{-0.05t}$

Now we will switch sides:

$e^{-0.05t}=\frac{1}{3}$

Let us take natural log on both sides of equation.

$\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})$

$-0.05t\cdot (1)=\text{ln}(\frac{1}{3})$

$-0.05t=\text{ln}(\frac{1}{3})$

$t=\frac{\text{ln}(\frac{1}{3})}{-0.05}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}$

$t=-\text{ln}(\frac{1}{3})\cdot 20$

$t=-(\text{ln}(1)-\text{ln}(3))\cdot 20$

$t=-(0-\text{ln}(3))\cdot 20$

$t=20\text{ln}(3)$

Therefore, it will take $20\text{ln}(3)$ years for area of the glacier to decrease to 15 square kilo-meters.

6 0

3 years ago

a boat took 4 hours to make a trip downstream with a current of 6 kilometers/hour. The return trip against the same current took

posledela

Answer:Same problem

Step-by-step explanation:

I have the same question. I dont know how to do it and trying to figure it out and im doing homework in class and if i dont finish it i lose exam skips.I have exams after today and need this done.

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3 years ago

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Lapatulllka [165]

(by + 2)/3 = c
by + 2 = 3c
by = 3c - 2
y = (3c - 2)/b

$y = \frac{3c - 2}{b}$

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4 years ago

Robbie has 2 times as many apples as Bob. After receiving 35 more, Robbie now has 7 times as many as Bob. How many apples does B

Hoochie [10]

Answer: 18.5 apples

Step-by-step explanation:

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3 years ago