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zzz [600]
3 years ago
6

What is the value of y? a. 30 b. 120 c. 60 d. 180

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0
Okay, so we know the first triangle is an equilateral and the second is an isosceles. (the lines indicate congruence)

To find x, we have to figure out the other triangle's angles. 

Since it is equilateral, all its sides are 60 degrees.

All triangles angles add up to 180. 180/3= 60

To find x we subtract the angle beside it by 180 to find the angle's degree. 

180-60= 120. x= 120.

Since it is an isosceles, the last two angles are the same. 
Subtract the vertex from 180. 

180- 120= 60

Divide that by 2. (since there are two angles)

y= 30 Or choice A. <span />
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gayaneshka [121]

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Step-by-step explanation:

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5 0
2 years ago
The cost of hot drinks in a café is shown:
aksik [14]

Answer:

10.8

Step-by-step explanation:

2.40+2.60= 5

2.00(2)+1.80=5.8

5+5.8= 10.8

7 0
2 years ago
The legs of a right triangle are x and 15 while the hypotenuse is 17.
Deffense [45]

Answer:

Since the Option of equation are not given. Kindly chose any of the below equation from the answer to find the value of 'x'.

x^2+15^2=17^2

x^2=17^2-15^2

OR

x^2+225=289

x^2=289-225

Step-by-step explanation:

Given:

Length of One leg = x

Length of other Leg= 15

Hypotenuse = 17

We need to find the equation used to determine the value of x.

Solution:

Assuming Triangle to right angled triangle.

So we will apply Pythagoras theorem which sates that;

"The square of sum of two legs of right angle triangle is equal to square of the length of hypotenuse."

so we can say that;

x^2+15^2=17^2

x^2=17^2-15^2

OR

x^2+225=289

x^2=289-225

Since the equation are not given. Kindly chose any of the below equation from the answer to find the value of 'x'.

x^2+15^2=17^2

x^2=17^2-15^2

OR

x^2+225=289

x^2=289-225

5 0
2 years ago
Find value of S for an infinite geometric series with r=1/6 and a_1=10
Stolb23 [73]
Hope this helps you!

3 0
3 years ago
The sum of 2 numbers is 30 and the difference is 10. What are the two numbers.
maw [93]

Answer:

20 + 10 = 30

Step-by-step explanation:

The sum of x and y is 30. In other words, x plus y equals 30 and can be written as equation A:

x + y = 30

The difference between x and y is 10. In other words, x minus y equals 10 and can be written as equation B:

x - y = 10

Now solve equation B for x to get the revised equation B:

x - y = 10

x = 10 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 30

10 + y + y = 30

10 + 2y = 30

2y = 20

y = 10

Now we know y is 10. Which means that we can substitute y for 10 in equation A and solve for x:

x + y = 30

x + 10 = 30

X = 20

Summary: The sum of two numbers is 30 and their difference is 10. What are the two numbers? Answer: 20 and 10 as proven here:

Sum: 20 + 10 = 30

Difference: 20 - 10 = 10

4 0
2 years ago
Read 2 more answers
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