Help with geometry question

I need help with numbers 15 and 18!!! what does x equal? help asap!!

Sav [38]

Answer:

15. x = 112 degrees

18. x = 120 degrees

Step-by-step explanation:

A triangle's angles always equal 180 degrees so we can find the two unknown angles by subtracting 44 from 180 and then dividing it by 2.

2a + 44 = 180

2a = 136

a = 68

Each unknown angle equals 68 degrees. The line from 44 degrees to x degrees segments a line that has a 180 degree angle so we can subtract 68 from 180 to get x.

x + 68 = 180

x = 112

We can use the same concept here but now every angle equals each other so we can divide 180 by 3 to get the measure of those angles.

3a = 180

a = 60

Now we do the same thing as last time to find x.

x + 60 = 180

x = 120

6 0

3 years ago

jim and lisa had a total of $300. After jim boughy a jacket with 2/3 if her money,she had $90 less than lisa. find the cost of t

Yuri [45]

Answer:

$84

Firstly, what we must do, is establish a system of equations:

$\frac{2}{3}J = L -90$

$J + L = 300$

Due the circumstances, it is decided we will use the method of substitution:

$\frac{2}{3}J = L - 90$

$\frac{2}{3}J + 90 = L$

↓

$J + \frac{2}{3}J + 90 = 300$

Now, we solve the 2-variable equation above:

$J + \frac{2}{3}J + 90 = 300$

$J + \frac{2}{3}J = 300 - 90$

$J + \frac{2}{3}J = 210$

$J(3) + (\frac{2}{3}J)(3) = 210(3)$

$3J + 2J = 630$

$5J = 630$

$J = \frac{630}{5}$

$\bf~J = 126$

Now, we must see how much money each one of them had & the price of the jacket:

Now we know that Jim had $126. In other words, $126 is $\frac{3}{3}$ of his money (total money).

So, if Jim has $126, which corresponds to $\frac{3}{3}$ of his money, $\frac{2}{3}$ of his money is:

$\frac{126}{3} = 42$

$126 * \frac{2}{3} = 42 + 42$

$\bf~126 * \frac{2}{3} = 84$

Hope it helped,

BiologiaMagister

3 0

3 years ago

The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard d

natta225 [31]

Answer:

B

Step-by-step explanation:

In this question, we will be calculating the probability between a range using normal distribution.

We proceed as follows;

we have, mean (μ)= 3 and standard deviation (σ) = 1

P(2.5<X<3.5) = P(2.5 - 3 < X- μm < 3.5 -3) = P( -0.5/1 < (X - μ ) /σ < 0.5/1 )

since Z= (X - μ ) / σ

P(2.5<X<3.5) = P(-0.5 < Z < 0.5)

Using Standard Normal Table or Z-calculator it can be found that ,

P(-0.5 < Z < 0.5) = 0.383

because P(−0.5<Z<0.5 ) = P ( Z<0.5 ) − P (Z<−0.5 )

using Standard Normal Table : P ( Z<0.5 )=0.6915 and P ( Z<−0.5 ) can be found by using the following fomula.

P ( Z<−a)=1−P ( Z<a )

After substituting a=0.5 we have: P ( Z<−0.5)=1−P ( Z<0.5 )

We see that P ( Z<0.5 )=0.6915 so,

P ( Z<−0.5)=1−P ( Z<0.5 )=1−0.6915=0.3085

At the end we have: P (−0.5<Z<0.5 )= P ( Z<0.5 ) − P (Z<−0.5 ) = 0.383

4 0

3 years ago

In year 1, nominal GDP for the United States was $2,250 billion and in year 2 it was $2,508 billion. The GDP deflator was 72 in

Nastasia [14]

Answer:

1.6%

Step-by-step explanation:

The real GDP is given by the nominal GDP divided by the GDP deflator, the real GDP for year 1 and year 2, respectively, were:

$GDP_1=\frac{2250}{0.72}\\GDP_1=\$3,125\ billion\\\\GDP_2=\frac{2,508}{0.79}\\GDP_2=\$3,174.68\ billion$

The percentage change in GDP is:

$P=\frac{3,174.68-3,125}{3,125}\\ P=0.016=1.6\%$

Between year 1 and year 2, real GDP rose by 1.6%.

5 0

3 years ago

Which ordered pair is the solution to the system of linear equations y =5x +8 and y= -4 x-1

aleksley [76]

Answer:

(-1,3)

y=5x+8 , y=-4x-1y=5x+8,y=−4x−1

Both sides have y on the left hand side so make the right hand side equal and solve for x

5x+8= -4x-15x+8=−4x−1

To solve for x , add 4x on both sides

9x+8=-19x+8=−1

Subtract 8 on both sides

9x=-99x=−9

Divide by 9 on both sides

x=-1x=−1

Now plug in -1 for x in the first equation and find out y

y=5x+8y=5x+8

y=5(-1)+8y=5(−1)+8

y=-5+8y=−5+8

y=3y=3

Ordered pair is (x,y) that is (-1,3)

Step-by-step explanation:

Mark me as brainliest plsss

8 0

2 years ago