What does the x=?...

Congruent angle pairs : Find value of x

Alexandra [31]

Answer:

(Opt.B) 18

Step-by-step explanation:

4x = 2y - x (vertically opposite angles are equal)

4x + x = 2y

5x = 2y ----- (1)

4x + 2y + x = 180 (Linear pair angles)

5x + 2y = 180

From (1) we can understand that, the value of 5x and 2y is the same. So,

5x + 5x = 180

10x = 180

x = 180/10

x = 18

Just completing,

Putting the value of x in (1)

5*18 = 2y

90 = 2y

90/2 = y

45 = y

Hope you understand

Please mark as brainliest

Thank You

6 0

3 years ago

I REALLY need help with these 3 questions plz!!!!

Tanzania [10]

Answer:

6. No. See explanation below.

7. 18 months

8. 16

Step-by-step explanation:

6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.

Let's find the GCF of 85 and 99:

85 = 5 * 17

99 = 3^2 + 11

5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.

Answer: No because the GCF of 85 and 99 is 1.

7.

We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.

6 = 2 * 3

9 = 3^2

LCM = 2 * 3^2 = 2 * 9 = 18

Answer: 18 months

We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.

Month Charlie Dasha

1 home home

2 home home

3 home home

4 home home

5 home home

6 trip home

7 home home

8 home home

9 home trip

10 home home

11 home home

12 trip home

13 home home

14 home home

15 home home

16 home home

17 home home

18 trip trip

Answer: 18 months

8.

First, we find the prime factorizations of 96 an 80.

96 = 2^5 * 3

80 = 2^4 *5

GCF = 2^4 = 16

Answer: 16

7 0

3 years ago

Which set of numbers is in order from smallest to largest?

galina1969 [7]

Answer:

0.5, 80%

Step-by-step explanation:

4 0

3 years ago

Let’s write the possible subsets of the following sets and list the proper subsets separately

Arisa [49]

Step-by-step explanation:

(a) subsets are {apple}, { }

(b) subsets are {1}, {2}, {1,2}, { }

proper subsets are {1}, {2}

(c) subsets are

{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }

proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}

(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }

proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}

3 0

3 years ago

MODELING WITH MATHEMATICS The fire escape forms a right triangle, as shown. Use the Pythagorean Theorem to approximate the dista

anastassius [24]

Answer:

$x = 14.13ft$

Step-by-step explanation:

Given

See attachment for illustration

Required

Find x

To do this, we apply Pythagoras theorem.

From the attachment, the length of the hypotenuse is 16.7ft

While the length of the opposite/adjacent is 8.9ft

Length x is calculated using:

$16.7^2 = 8.9^2 + x^2$

$x^2 = 16.7^2 - 8.9^2$

$x^2 = 199.68$

Take square roots

$x = \sqrt{199.68$

$x = 14.13ft$

5 0

3 years ago