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WARRIOR [948]
3 years ago
7

What is the value of y

Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

Here,\\Since~BC║DE,\\

[Corresponding Sides of similar triangles are proportional.]

or, \frac{y}{2y} = \frac{3}{3y} \\or, \frac{1}{2} = \frac{1}{y}\\or, y=2

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Gloria talked on her cell phone for 320 minutes the first month,243 minutes the second month,and 489 minutes the third month.Her
34kurt

Answer: \$175

Step-by-step explanation:

Since Gloria cannot pay for each minute talked but for packages of 200 minutes at the rate of $25 each, we have to make calculations according to these conditions as follows:

Month 1:

Gloria talked on her cell phone for 320 min. So, she had to buy 2 packages of 200 min for \$25 each package.

Hence:

(\$25) 2= \$50

Month 2:

Gloria talked on her cell phone for 243 min. So, she had to buy again 2 packages of 200 min for \$25 each package.

Hence:

(\$25) 2= \$50

Month 3:

Gloria talked on her cell phone for 489 min. So, she had to buy 3 packages of 200 min for \$25 each package.

Hence:

(\$25) 3= \$75

Then, if we take the total Gloria had to pay for the frist three months, we have:

\$50 + \$50 + \$75= \$175

5 0
3 years ago
The isosceles triangles below are similar.
ohaa [14]

Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1

Step-by-step explanation:

a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.

b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.

c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.

EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.

Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.

HJ and HI both measure 5 since they are congruent. 5+5+8=18.

d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.

4 0
3 years ago
5. The number −6 is 2 more than an unknown number. Find the unknown number.
Mariana [72]

Answer:

-4

Step-by-step explanation:

-6 - 2 = -4

3 0
3 years ago
Encuentra la pendiente de la recta formada por los puntos A( 3 , -2 ) Y B( -5 , 3 )
QveST [7]

Answer:

\frac{5}{-8} or -0.625

Step-by-step explanation:

The slope formula is as shown:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1}}

We can have A = (x_{1},y_{1}) and B = (x_{2},y_{2}).

We can hence plug in the values into the formula to get m=\frac{3-(-2)}{-5-3}.

As we simplify, the negatives on the top row cancel out to give us an addition sign instead and we add them.

m=\frac{5}{-8}

Brainliest would be appreciated!

3 0
3 years ago
What are the zeroes of f(x) = x2 + 5x + 6?
Vera_Pavlovna [14]

Answer:

Zeros are x = −2, −3 .

Step-by-step explanation:

Given : f(x) = x² + 5x + 6.

To find : What are the zeroes of f(x).

Solution : We have given that

f(x) = x² + 5x + 6.

To find the zeros of the function we need to set f(x) = 0.

x² + 5x + 6 = 0.

On factoring

x² + 3x +2x + 6 = 0.

Taking common x from first two term and 2 from last two terms

x ( x + 3) +2 ( x +3) = 0.

On grouping

(x + 3) (x + 2)  = 0

Now, x + 3 = 0   and x + 2 = 0

x = -3 and x = -2

Therefore, Zeros are x = −2, −3 .

3 0
3 years ago
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