find the value of x and y in a triangle

Answers

Answer 1

Answer:

a) 49 degrees b) 56 degrees

Step-by-step explanation:

a) Vertical angles are lines that intersect each other that always form the same angles on "opposite" sides. Angle x and the 49 degrees are vertical angles, which means that x also has to be 49 degrees.

- - -

b) We know that any triangles' three internal angles combined equal 180 degrees.

Since we already know two out of three angles in the triangle (63 and 49) we can find the last unknown angle: 180 - (63 + 49) = 68. The unknown angle in the triangle is 68 degrees.

We also know that all straight lines are 180 degrees. The line that angle y rests on is 180 degrees. So we can subtract the 68 degrees from 180 degrees to find that y = (180 - 68) / 2, because angle y is the same on the other side of the 68 degrees.

So:
y = (180 - 68) / 2
y = 112 / 2
y = 56

Angle y is 56 degrees.

Apologies if my explanation is confusing.

Answer 2

Answer:

a) x = 49° C

b) y = 48° C

Step-by-step explanation:

a) x is 49° C because we know that opposite angles are the same which means that x is opposite to 49° C which makes it also 49° C.

b) y is 48° C because angles in a Triangle always add up to 180° C which means that 180 - 83 - 49 = 48 which makes the answer 48° C.

Related Questions

What is each product?
a. (-6)(-9)
b. 28(-0.25)

A -54, -7
B 54 , 7
C 54, -7
D -54 , 7

Answers

Answer:

C 54, -7

Step-by-step explanation:

a. (-6)(-9) = 54

b. 28(-0.25) = -7

Answer: C 54, -7

The answer to your question is C

What is 280.0575 as a fraction

Answers

Answer...

[tex]280\frac{23}{400}[/tex]

Steps....

1) Rewrite the decimal number as a fraction with 1 in the denominator

2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by [tex]10^{4}[/tex] = 10000

3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25

4) Simplify the improper fraction!

2. GYMNASIUM You want to estimate the number of students in your school who think the gymnasium should be remodeled. You survey 12 students on the basketball team. Determine whether the sample is biased or unbiased. Explain. (Section 10.6)

Answers

Yes your going to get biased opinions and they would all say yes because they play basketball in the gym so obviously they want good things so they want it to be remodeled

It will be biased definitely because ur asking a sport focused group of students

Josh is 72 inches tall. Ruben is 9/10 as tall as josh. John is 11/12 tall as ruben. a. what is rubens height in inches b. what fractional of of joshs height is johns?

Answers

Answer:

A. Ruben's height- 64.8 inches

B. John's height- 3/4 of Josh's height

Step-by-step explanation:

A. Since Ruben's height is 9/10ths of Josh's, and Josh's is 72 inches, we can find 90% of Josh's height which is 72, therefore giving us 64.8 inches.

B. Now take John's height of being 11/12th as being tall as Ruben, we can enter 11/12th of 64.8 which would give us about 54 inches. Finally, taking John's height of 54 inches, we would divide it with Josh's height of 72 inches. Hence, 54/72=3/4 as a fraction.

A. Rubens height in inches is 64.8
B. 33/40 is the fractional part of johns height to Josh’s

Which of the following expressions are equivalent to 1/-7 x -6/5?

Choose ALL the answers that apply.
A. - 1/7 x 6/5

B. -6 x - 7/5

C. None of the above.

Answers

Answer:

Step-by-step explanation:

1/-7 × -6/5 = 6/35

A. -1/7 × 6/5 = -6/35

B. -6 × -7/5 = 42/5

Answer: C.

Answer :
C
None of the above

There are 1 1/2 pounds of bricks in a bag. Each brick weighs 3/4 of a pound. How many bricks are in the bag?\\

Answers

Answer:

ok so each brick is 3/4 of a pound so we wont to know how many times 3/4 goes into 1 1/2

so lets just count up 3/4

3/4 =1

1 1/2=2

so 2 times

Hope This Helps!!!

Answer:

There are 2 bricks in the bag.

Step-by-step explanation:

Let n represent the number of bricks in the bag. Then:

(3/4 lb)n = 1 1/2 lb total; find n by dividing both sides by (3/4 lb)/brick:

1 1/2 lb

n = --------------------- = 2 bricks

3/4 lb/brick

There are 2 bricks in the bag.

ANSWER FAST AND PLS EXPLAINN

(05.04 MC)

An image of a rectangular pyramid is shown below:

A right rectangular pyramid is shown.

Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points)

Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points)

Answers

Answer: A: SquareB: Triangle

Step-by-step explanation:

Aaaaaaaaaaaaaa. a a a a a a a a

PLEASEEEEE:
Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%

1994 cost: $171.33 and 1995 cost: $201.59

Answers

Answer: It's 18%

Step-by-step explanation:

Answer:

118% so it is 18 %

Step-by-step explanation:

PLEASE HELP!!!!!
The lengths of the sides of triangle ABC are consecutive whole numbers. The median from angle A is perpendicular to the angle bisector of ∠B. Find the lengths of the sides of the triangle.

Answers

The answer is 3 units from the sides of the triangle

I got that the answer is three units

8.25 The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when it is full?

Answers

Answer:

125 cups

Step-by-step explanation:

36/100*x = 45

18/50*x = 45

18x = 2250

x = 125

Answer:

The amount of coffee the maker will hold when full be 125 cups.

Step-by-step explanation:

Given:

The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

To find:

Number of cups of coffee does it hold when it is full.

The formula used to calculate percentage is: (value/total value)×100%.

Step 1 of 1

Let the amount of coffee the maker will hold when full be x.

Then given the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

Which implies:

[tex]$$\begin{gathered}\frac{36}{100} \times x=45 \\0.36 x=45 \\x=\frac{45}{0.36} \\x=125\end{gathered}$$[/tex]

7.33. Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours. If they work together, then how long will it take them to paint the fence?

Answers

Answer:

It takes them 30/11 hours to paint them together.

Step-by-step explanation:

This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:

[tex]Tom: R_{T}*6=1\\Huck: R_{H}*5=1[/tex]

We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:

[tex]Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}[/tex]

Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):

[tex](\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11[/tex]

Therefore, the time it takes them to paint the fence together is 30/11 Hours

Answer:

The number of hours it will take them to paint the fence is 2.7 hours.

Step-by-step explanation:

Given:

Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours.

Find:

the number of hours it will take them to paint the fence

Step 1 of 1

Determine their work rates, and then add them.

In particular, Tom can paint [tex]$\frac{1}{6}$[/tex] of a fence per hour, and Huck can paint [tex]$\frac{1}{5}$[/tex] of a fence per hour.

So, together they can paint [tex]$\frac{1}{6}+\frac{1}{5}=\frac{11}{30}$[/tex] of a fence per hour. Therefore, the time to paint the whole fence is [tex]$\frac{1 \text { fence }}{\frac{11}{30} \text { fences per hour }}=\frac{30}{11}$[/tex] hours

[tex]$=2 \frac{8}{11} \text { hours, }$$[/tex] or a little over 2.7 hours.

IM CONFUSED: A used car dealer has the following information for 2 months of sales:
Month 1: 239 cars sold
Month 2: 324 cars sold
Do we have an increase or a decrease in sales and what percentage?

Answers

Answer:

Rounds to about 135% increase.

Step-by-step explanation:

Increase/original number x 100

324 / 239 × 100. This rounds to about a 135% increase.

I'm not sure about the answer, just saying. So you might want to double-check the formula for percent change. Thank You.

There was an increase in sales between Month 1 and Month 2, as the number of cars sold in Month 2 (324 cars) was higher than the number sold in Month 1 (239 cars).The percentage increase in sales is approximately 35.56%. This means that the sales in Month 2 increased by about 35.56% compared to the sales in Month 1.

To determine if there's an increase or a decrease in sales and the percentage change, we need to compare the number of cars sold in Month 2 with the number sold in Month 1.

Calculate the difference in sales:

Difference = Month 2 sales - Month 1 sales

Difference = 324 cars - 239 cars

Difference = 85 cars

To find the percentage change, use the following formula:

Percentage Change = (Difference / Initial Value) * 100

In this case, the initial value is the number of cars sold in Month 1 (239 cars).

Percentage Change = (85 cars / 239 cars) * 100

Percentage Change ≈ 35.56%

To know more about sales here

https://brainly.com/question/25743891

#SPJ2

I need an answer for number 8 really quick
help me, please!!!

Answers

Easy just divide the first two number by each other and you’ll bet the unit rate

1 Pound = $28.80/8P = $3.80

Therefore, the equation linking p and C is :

p=3.80C

HEEEEELLLLPPPP 3 PLEAASSEEE

Answers

Step-by-step explanation:

1. Vertical Line Test: By definition a function can only output 1 value for each unique input. So if I were to put a vertical line on a graph it should only intersect one point, if it intersects two, that would mean there is 2 outputs for 1 input, so it's not a function

2: Term

3: Sequence: I don't really know how to explain this besides it's literally the definition

4: Relation: This can also be a function, but it it doesn't pass the vertical line test, it's just a relation

5: Solution: A solution to an equation is just what value makes an equation true (both sides equal)

6: Variable: The value varies, it can be anything, depending on what the equation is, so for example y=mx+b, the value of y varies depending on the value of x (and also m and b obviously, but those are constants)

It is not a function

What is the Cost Price?

Cost price: $60 and Loss: 12 1/2%

Answers

Answer, 60 and Loss =12½. The selling price or the S.P. is Rs. 45.:

Step-by-step explanation:

60 & lost 12 1/2 :))

A person uses about 315 calories to jog 3 miles. How many calories will be used in a 10 mile jog?

Answers

Step-by-step explanation:

315 calories for 3 miles.

315/3 = 105 calories for 1 mile

105×10 = 1050 calories for 10 miles

Answer:

Hello! The answer is 1050 calories.

Step-by-step explanation:

To calculate this, you have to find how many calories are used PER mile. To do this, you have to divide the total calories by the mileage:

315 ÷ 3 = 105

Now that you have the calories used per mile, you can find how many calories are used in a 10 mile jog:

105 × 10 = 1050 calories

9. You want to compare the average amounts of time students in sixth, seventh, and eighth grade spend on homework each week.
b. Perform the experiment. Can you make a conclusion about which students spend the most time on homework? Explain your reasoning.

Answers

Answer:

if you compare the average of the 3 grades the one with the highest average would be the grade who spends the most time on homework.

Step-by-step explanation:

Compare the average 3 grades and

1.Is 4/5 equivalent to 32/45?

2.Is 7/8 equivalent to 28/32?

3.Is 1/10 equivalent to 30/100?

4.Is 6/8 equivalent to 24/32?

5.Is 5/8 equivalent to 30/70?

6.Is 2/3 equivalent to 24/100?

7.Is 2/10 equivalent to 30/60?

8.Is 1/5 equivalent to 20/100?

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Answers

When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.