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Nookie1986 [14]
3 years ago
15

What are the values of x & y?

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer:

X= 60°

Y= 30°

Step-by-step explanation:

In triangle ABD, we have:

AB = BD = AD

Then triangle ABD is <u>equilateral</u><u> </u><u>triangle</u><u>.</u>

Then, all its angles are equal to 60°.

=> <u>X = 60°</u>

____________________________________

ADC is right triangle at D.

So, X and Y are congruent angles (their sum is equal to 90°)

So, X + Y =90°

60° + Y = 90°

Y = 90 - 60

<u>Y= 30°</u>

<u>hope \: this \: helps</u>

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Two figures are similar with a scale factor of 5/2.
aev [14]

Answer:

If we have two figures, F and F'

Such that if we start with F, and dilate it with a scale factor K, we get F'.

We will have:

All the measures of F', are K times the correspondent measures of F.

Then if F has  s₁, s₂, ..., sₙ sides, the sides of F' will be:

K*s₁, K*s₂, ..., K*sₙ

The ratio between correspondent sides will be equal to K

The ratio between perimeters will also be equal to K (because the perimeter is the sum of all the sides of each figure, so we can just take K as a common factor)

In the case of the area, because we usually multiply a measure by another, a factor K^2 will  appear, and the quotient between the areas is K^2

And finally, for the volumes, the ratio will be K^3

a) The ratio of corresponding lengths is K, in this case is 5/2

b) The ratio of the perimeters is K, in this case is 5/2

c) The ratio of the areas is K^2, in this case is (5/2)^2 = 25/4

d) The ratio of the areas is K^3, in this case is (5/2)^3 = 125/8

e) Two figures are similar if the figures have the same shape, then the corresponding angles are exactly the same, then the ratio of corresponding angle measures is 1.

6 0
3 years ago
One number is six greater than another. if the sum of the two numbers is 44, find the numbers
mylen [45]

44-6=38/2=19+6=25+19=44

The numbers are 19 and 25

3 0
3 years ago
Ratio of sandwiches white bread to brown bread is 10:3. 2/3 white are vegetarian, half brown are vegetarian. What fraction of th
julsineya [31]
<h3>Answer:</h3>

8/13

<h3>Step-by-step explanation:</h3>

Given in the question

Ratio of sandwiches white bread to brown bread is 10 : 3

white bread fraction = 10/13

brown bread fraction = 3/13

It is also provided that

2/3 white are vegetarian

1/2 brown are vegetarian

So

for white bread vegetables sandwich we will find 2/3 of 10

    20/3/13

for brown bread vegetable sandwich we will find 1/2 of 3

    3/2/13

adding both

 20/3/13 + 3/2/13

 8/13 (approximate)

3 0
3 years ago
Solve the linear system by graphing y = x - 1 y =3x - 9
Zielflug [23.3K]
I think is
y = x - 1y = 3x - 9
y - y = x - 3x = -9
0 = - 2x = - 9
4 0
3 years ago
A recipe requires ¾ cup of nuts for 1 batch of muffins. Write the number of batches of muffins that can be made using 7 ½ cups o
Ivahew [28]

Answer:

10 batches

Step-by-step explanation:

3/4 cups = 1 muffins

15/2 cups = x muffins

For x muffins,

3/4 × X = 15/2 × 1

3x × 2 = 15×4

6x = 60

Divide both sides by 6

6x/6 = 60/6

X = 10

Hence 10 batches of muffins will be made from 15/2 cups of nuts.

8 0
3 years ago
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