In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?

Answer:

x=2

length y = 4

angle Z = 45

Step-by-step explanation:

x^2 = 2x^2 - 4

put like terms on same sides, lets subtract x^2 to both sides

0 = x^2 - 4

add 4 to both sides

4 = x^2

square root of 4 = 2

x=2

since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2

y = x^2

y = 4

Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.

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This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Answer:

C

Step-by-step explanation:

240m= 4h

120km

V= 120/4 = 30 km/h

I hope this helps, have a good day

Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

Learn more about unit rates, click;

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Answer:

[tex]x_1=3+2\sqrt{6}[/tex]

[tex]x_2=3-2\sqrt{6}[/tex]

Step-by-step explanation

[tex]\rule{100mm}{0.5mm}[/tex]

                           [tex]x^2-6x=15[/tex]

[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]

                   [tex]x^2-6x+3^2=15+3^2[/tex]

                     [tex]x^2-6x+9=15+9[/tex]

                          [tex](x-3)^2=24[/tex]

                       [tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]

                              [tex]x-3=\pm2\sqrt{6}[/tex]

                                  [tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]

                                  [tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]                                

[tex]\rule {100mm}{0.5mm}[/tex]

Answer:

.16

Step-by-step explanation:

All you do is double each number by 4.

Answer:

1.6 cups of sugar

Step-by-step explanation:

1 batch=0.4 cups

So if you want 4 batches, you would have to quadruple the amount of sugar

0.4x4=1.6

Answer:

Step-by-step explanation:

1. after 7 hours, you watch 1 movie

2. after 0 hours, youve watched 0 movies

3. after 14 hours, you have watched 2 movies

Answer:

Step-by-step explanation:

or,4x + 40 - 40 (subtract and the answer will be o ; no valueit will get )= 16-40

or, 4x = 16-40

therefore, 4x = 16-40

now,

we can also do,

or, 4x= 16-40

or,  4x= -14

i think it will be helpful, plz mark as brainlist plz..

Answer:

No

Step-by-step explanation:

No, the produce company does not agree with Mr. Ciullo. There are a total of 12 months in a year and Mr. Ciullo claims that he ordered a whole number of bananas each month. Therefore, if we divide the total amount in pounds that the produce company claims that Mr. Ciullo ordered last year by the twelve months in the year then the result should be a whole number...

6,150 lbs. / 12 = 512.50 lbs.

We can see that the produce company is claiming that Mr. Ciullo ordered 512.50 pounds per month last year, which is not a whole number and therefore contradicting Mr. Ciullo's statement.

Answer:

lol thanks for the free points

Step-by-step explanation:

Answer:

Exposed UwU

Have a great day

Answer:

5/6 of $1,200 is $1,000

The answer is $1000

ps: dont add the ($) only numerical answer

Answer:

The first one

The second one

The third one

The fifth one

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it  into fifths  an u get 90 then multiply 90 by 3 since its thirds an you get 270

Answer:

600

Step-by-step explanation:

20 divided by 1/2 is 40

40 divided by 1/5 is 200

200 divided by 1/3 is 600

Answer:

4 1/2 cup servings

Step-by-step explanation:

Answer:4 1/2 cup servings

Step-by-step explanation: 3/4 / 1/6 cups =3/4 *6= 18/4=4

Answer:

3 + 1(3) +3 (the dollar amounts)

3+3+3

9

0.5 + 0.1 +0.1 +0.1 +0.5 (the cents)

1.3

9 +1.3 = 10.30 worth of groceries using front end estimation

Answer:

-4/3

have a nice day/night

Answer:

x = -25/3

Step-by-step explanation:

x divided by -5/2 is equal to x multiplied by -2/5

therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]

cross-multiply: -6x = 50

x = -50/6 or -25/3

Answer:

/2 each time

Step-by-step explanation:

8,4,2

8/2=4

4/2=2

etc

Answer:

A:y=3x-10

Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10

Answer:

Step-by-step explanation:

5) 121/11 = 11 meals / day

6) 50/10 = 5 min/call

7) 91/7 = 13 books / week

8) 1275 ants/5 ant holes = 255 ants / ant hole

Step-by-step explanation:

I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry

Answer:

$

1

,

920

Explanation:

Find  

15

%

×

12800

15

100

×

12800

1

=

$

1

,

920

Step-by-step explanation:

Answer:(-4,-6)

Step-by-step explanation:

Answer:

7.69%

Step-by-step explanation:

Explanation of the answer is given below:

Car bought for AED 60,000

Accessories for AED 5,000

Total AED 65,000

Car sold for AED 70,000

AED 65,000 - AED 70,000 = AED 5,000

AED 5,000 / 65,000 * 100

= 7.69% Profit

The correct answer is that Salem made a profit of 7.69% on his car.

Answer:

y = x + 4 or x - y + 4 = 0

Step-by-step explanation:

The relation between "x" and "y" is linear.

Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1

Coordinates of y-intercept of the line (0, b) = (0, 4)

Slope-intercept form of a line equation is y = mx + b

The rule (equation) of line is y = x + 4

or x - y + 4 = 0 (in standard form)

Answer:3

Step-by-step explanation:

-3--9

-3+9=6

Answer:

Its D

Step-by-step explanation:

100 on quiz

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x