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3 years ago

Find the measure of angle x. _

Mathematics

1 answer:

sleet_krkn [62]3 years ago

7 0

$x + 120 = 180$

(linear pair of angles)

$x = 180 - 120$

$x = 60$

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Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club

Free_Kalibri [48]

Answer:

So, after 6 months, they both have the same number of coins.

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80 - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.

7 0

3 years ago

When a child is born,

Olin [163]

Option 2 because in option one 7.5% of $300 is $22.50 so more would be put in if he chose the second option

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3 years ago

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

3 years ago

Matt buys 9 cookies, and of them are chocolate chip. How many chocolate chip cookies did he buy? A .3 cookies B. 6 cookies C.8 c

inessss [21]

Answer:

B. 6 cookies

Step-by-step explanation:

<u>Given</u> :

9 cookies
2/3 of them are chocolate chip

<u>Number of chocolate chip</u>

Total x fraction of chocolate chip
9 x 2/3
3 x 2
6 cookies

8 0

2 years ago

Read 2 more answers

LAST ONE PLEASE HELP. I WILL MARK AS BRAINLIEST.

eimsori [14]

4 in roman numerals is IV. V = 5, and the I is like taking one off the 5. If it was VI, it would be 6, like adding 1. So, IV is 4. The patient will take IV mLs.

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3 years ago

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