In triangle ABC, let the angle bisectors be BY and Cz. Given AB = 8, $AY = 6, and CY = 3, find BZ and BC.
please help soon

Answers

Answer 1

Answer:

Step-by-step explanation:

hhl

Answer 2

The length of BC = 4 units and the length of BZ = 2.5 units.

How to solve

We have been handed a triangle ABC for this question.

The angle bisectors BY and CZ have been provided to us.

Moreover, AB = 8, AY = 6, and CY = 3.

We must determine how long BC and BZ are.

The angle bisector theorem is used.

According to the angle bisector theorem we have;

AY/CY = AB/BC,BZ/AZ = BC/AC

Consider,

AY/CY = AB/BC

6/3 = 8/BC

BC = 8/2

BC = 4 units

Now,

AC = CY + AY

AC = 3 + 6

AC = 9

and,

AZ = AB - BZ

AZ = 8 - BZ

consider BZ/AZ = BC/AC,

BZ/(8 - BZ) = 4/9

9 BZ = 32 - 4 BZ

(9 + 4)BZ = 32

13 BZ = 32

BZ = 2.5

Therefore, the length of BC = 4 units, and the length of BZ = 2.5 units.

Read more about angle bisector theorems here:

https://brainly.com/question/2478436

#SPJ1


Related Questions

Find the measure of

Answers

Answer:

Step-by-step explanation:

hello this is

Answer:

Step-by-step explanation:

HURRYY! Will give Brainliest! The amount of sports drink in a cooler during practice is modeled by the equation

y = -24x + 648, where y is the number of ounces in the cooler after practice and x is the number of players at practice who take drinks from the cooler.

Based on the information in the equation, which statements are true?





A. The cooler is meant to be used by only 24 players.

B. Before practice, there are 648 ounces of sports drink in the cooler.

C. If 24 players get drinks from the cooler, they will drink a total of 648 ounces of sports drink.

Answers

Answer:

Step-by-step explanation:

ounces of sports drink in the cooler.

C. Each player is expected to drink 24 ounces of sports drink during practice.

D. If no players take drinks from the cooler, there will be 648 ounces of sports drink in the cooler after practice.

Statement B is true: Before practice, there are 648 ounces of sports drink in the cooler, as the y-intercept of the equation is 648.

Statement C is not true: The coefficient of x, -24, does not represent the amount of sports drink each player is expected to drink. It represents the rate at which the amount of sports drink in the cooler decreases as players take drinks.

Statement D is not true: If no players take drinks from the cooler, x would be 0, and the amount of sports drink in the cooler after practice would be y = -24(0) + 648 = 648. However, this situation is not realistic, as players would normally take drinks from the cooler during practice.

Statement A is not true: The equation does not limit the number of players who can use the cooler. The equation only models the rate at which the amount of sports drink in the cooler decreases as players take drinks.

B.
In mx+b, b is initial value meaning they started with 648 ounces

Match each scenario to the absolute value expression that describes it.

1. the amount of change when the temperature rises from 5°C to 13°C
|+7|
2. the change of an account balance when spending $8
|+8|
3. the change in depth when diving down 7 meters in the ocean
|-7|
4. the amount of improvement when increasing your grade by 7 points
|-8|
5. the change in height when climbing a 5-foot wall
|+5|
6. the distance moved when going backwards five spaces in a board game
|-5|

Answers

1.) |5 - 13| = |-8| = 8

2.) |-8| = 8

3.) |-7| = 7

4.) |7| = 7

5.) |5| = 5

6.) |-5| = 5

please help i only
have 3 more minutes to complete

Answers

Answer:

option d

Step-by-step explanation:

the answer is ddddddd

pls, help me with this.

Answers

Answer:

huh

Step-by-step explanation:

There’s nothing there

Will give 50 points, answer all

Answers

Answer:

198

Step-by-step explanation:

length =11

width=18

Length times width = area

11 times 18 equals 198

i hope this helps! <3

Page 1, Answer:
168 cm

Explanation:

First we should find the area of the non-shaded parts

Length: 5cm
Width: 4cm
5x4=20
1st square= 20 cm

Length: 5cm
Width: 2cm
5x2= 10
2nd square= 10 cm

Now we add:
20+10=30

Shaded part:
11x18=198

We have to subtract the shaded part by the non shaded part:
198-30=168

Answer= 168cm


Page 2:

Answer 1:
Both are equal

Explanation:

Both are equal because:

A: 8+8+2+2

16+4=20
A=20cm

B: 5+5+5+5
5x4=20
B=20 cm

Answer 2:
16

Explanation:

Since we are already given the product we need to find the factors, square has 4 equal sides so we have to divide by 4:

64/4=16
Ans=16cm

Answer 3:
62cm

Explanation:
We need to divide the shape into 2.

Rectangle 1:
10+5+?+?

Since we already know what one side is it will be the same on the other side:

10+10+5+5
20+10=30

Rectangle 1=30cm

Rectangle 2:

Here we start to add and subtract:

Length: 10-5=5

Width: 6+5=11

5+5+11+11
10+22=32
32 cm

Total:
Now that we know both perimeters we add:

32+30=62

Total=62cm

Simplify the following 5/8 × 6/7.

Answers

[tex] \frac{15}{28} [/tex]

Multiply numerator by numerator and denominator by denominator

15/28 is the answer

2A. Find the area of a parallelogram with the following measurements.
a. base = 8cm, height=14cm b. base=18cm, height=6cm

Grade#7

Answers

Answer:

a) formula of parallelogram- BASE × HEIGHT

Step-by-step explanation:

Area:-B×H

area- 8×14

area of parallelogram= 112cm²

The formula of the area of a parallelogram is : Base x Height

Therefore :

Area - base x height
Area- 8 x 14
= 112cm squared

PLEASE HELP! Due TODAY
Write equation to represent the relationship between d(distance traveled) and t(time). Use given variables (lower case), no spaces.

Answers

Answer:

21

Step-by-step explanation:

127137-3218

12339

31

13223

=21

The equation is y=60x because 1 km per hour

question is below please help me answer it

Answers

A. 1/10, 3/25, 7/50, 9/75, 13/100
1/10= 0.1
3/25= 0.12
7/50= 0.14
9/75= 0.12
13/100= 0.13

B.largest.



Not sure if this helped any. Sorry if it didn’t :(

Interquartile range again.... Please help 15 pts.

Answers

It will be 52.7 because there is a pattern
it’s 52.7 for the interquartile range and due to the pattern

Martin used a coordinate plane to design the garden shown. Each unit on the grid represents 10 yards.

How many square yards will the garden be after it is built? What is the total AREA of the garden?

Answers

The best way to solve this is to break the shape up into areas you know how to solve.

Lets divide this into the big rectangle being separated from the smaller rectangle at the bottom.

To find the height of the big rectangle, subtract one y-coord of 30 from the other y-coord 80.

80-30=50

To find the length of the big rectangle, subtract one x-coord of 10 from the other x-coord of 100.

100-10= 90

Multiply these to get the area of the big rectangle:

90 x 50 = 4500 units squared

Next, find the smaller recatngle’s area by repeating the previous steps:

Height: 30-10 = 20
Length: 70-40 = 30

Now find the area:

20 x 30 = 600 units squared

Finally, add both of these areas up to find the total area for the original shape:

4500 + 600 = 5100 units squared

Hope this helped!

Someone pls do this you don’t have to do all questions. The questions r in the photo

Answers

Step-by-step explanation:

Refer to workings and add the units.

Finish by doing the additions

1. Add beef, onion, potato, tomato and asparagus in the workings

2. Add chicken pea, lentils, onion, potato, tomato and asparagus.

Deduct the total in number 2 from the total in number 1 to get the amount saved.

3. A container of rice milk 3.49

2lb of strawberries at 4.99 per lb= 2 x 4.99 = 9.98

6 babanas at 0.75 each = 6x 0.75 = 4.5

Add together

3.49 + 9.98+4.50 = $17.97

Remember to add units in your workings

The answer is I don’t know and don’t disturb

Doira has a company that sells plants. She sells 34 for plants for $9,000 each her first day. The next couple days she sells 34 for $99,999 each. If she keeps selling them for $99,999 each for 100 weeks,how many plants will she have sold? How much money will she have made?

Answers

Answer:

1)23,800 plants.

2)$2,380,068,200

Step-by-step explanation:

1) if Doira sells 34 plants for $99,999 each for 100 weeks, she will have sold a total of 23,800 plants.

2.On the first day, Doira sold 34 plants for $9,000 each, so she made a total of 34 x $9,000 = $306,000.

In the following days, she sold 34 plants for $99,999 each, so her daily earnings were 34 x $99,999 = $3,399,966.

If she continues to sell 34 plants for $99,999 each for 100 weeks, she will sell a total of 34 x 100 x 7 = 23,800 plants.

Her total earnings from selling 34 plants for $99,999 each for 100 weeks will be 23,800 x $99,999 = $2,379,762,200.

Adding her earnings from the first day, her total earnings will be $2,379,762,200 + $306,000 = $2,380,068,200.

Answer: she would sell 340 plants and make $9,999,900

Step-by-step explanation:

34 x 100 =340

99, 999 x 100 = 9,999,900

Which inequality is not true?

- 7/8 < -0.60
- 7/8 > -0.50
-7/8 > - 15/16
- 7/8 < - 1/4

Answers

Answer:

Step-by-step explanation:

First off let's convert -7/8 to make the comparison easier: -7/8 = -0.875

A. -0.875 < -0.60 True

B. -0.875 > -0.50  is False

C.  -0.875 > - 15/16.  -15/16 = -0.9375 True

D. -0.875 < - 1/4       -1/4 = -0.25 True

B. -7/8  > -0.50  is False

Hope that helps! :)

Reflect
How are metric measurement conversions and customary measurements conversions
alike?

Answers

Answer: The answer is given below

Step-by-step explanation: How are customary and metric the same?

The metric system uses units such as meter, litre, and gram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces.

The customary system: this system of measurement is primarily used in the United States, which include the inch, foot, mile, pound and cup. The metric system: the system of measurement is primarily used in science and in countries outside the United States, which include meter, kilometer, liter, gram and kilogram.

Answer

1. Serena has 1,532 photographs. She has 40 photo albums. Each album holds 36 photographs. Does Serena have enough albums to hold all the photographs?

2. A group of 1,058 people are called in for jury duty. A jury is made up of 12 jurors and 2 alternates. How many complete juries can be formed from the jury pool?

3. Gary's backpack weighs 1.2 pounds. His math textbook weighs 3.75 pounds, and his science textbook weighs 2.85 pounds. How much will his backpack weigh with the math and science textbooks in it?

4. Steven made punch by mixing 2.8 liters of orange juice, 0.75 liters of pineapple juice, and 1.2 liters of sparkling water. How many liters of punch did Steven make?

Answers

#1:

Serena does not have enough albums to hold all the photographs.

Work:

40*36 = 1440

#2:

A group of 1,058 people is called in for jury duty.

Work:

A jury is made up of 12 jurors and 2 alternates.  

1 jury = 12 jurors + 2 alternates = 14 members

So, the number of complete juries that can be formed is

= 1058/14 = 75.57

#3:
Gary's backpack will weigh 7.8 pounds with the math and science textbooks in it.

Work:

Total weight = backpack weight + math textbook weight + science textbook weight

Total weight = 1.2 + 3.75 + 2.85

Total weight = 7.8 pounds

#4:

Steven made 4.75 liters of punch.

Work:

Liters of Punch = orange juice + pineapple juice + sparkling water

Liters of Punch = 2.8 + 0.75 + 1.2

Liters of Punch = 4.75

There are two spinners containing only blue and green slices.
Spinner A has 4 green slices and 16 blue slices.
All the slices are the same size.
Spinner B has 9 green slices and 3 blue slices.
All the slices are the same size.

Each spinner is spun.
List these events from least likely to most likely.
Event 1: Spinner B lands on a blue slice.
Event 2: Spinner B lands on a green or blue slice.
Event 3: Spinner A lands on a yellow slice.
Event 4: Spinner A lands on a green slice.

Answers

Answer:

Step-by-step explanation:

2,1,4,3
explanation
event 2 has to happen because there are no other colors.
event 1 will likely come next because there are more blue slices than green slices.
event 4 will come best because it is less likely for it to land on a green slice than a blue slice
event 3 can never happen because there are no yellow slices

A random sample was taken to determine whether students from a certain classroom prefer to shop at Store A, Store B, or Store C. Which of the following would represent a random sample?

A. putting all the names in alphabetical order and selecting every fourth
B. student selecting all the students that have a last name that begins with R
C. selecting all the girls
D. putting all the names in a hat and selecting six student

Answers

D is the answer I think hope it helps
D is the correct answer for this question

Write and evaluate an expression that tells you to subtract 6 from 9 then subtract the difference from 12 and then multiply by 3 use at least two types of grouping symbols

Answers

Step-by-step explanation:

One possible expression using two types of grouping symbols is:

3 × [(12 - (9 - 6))]

This expression first subtracts 6 from 9 to get a difference of 3, then subtracts that difference from 12 to get a result of 9. Finally, it multiplies 9 by 3 to get a final answer of 27. The grouping symbols used are parentheses to group the subtraction of 6 from 9, and then another set of parentheses to group the subtraction of that difference from 12. The outermost grouping symbols are the multiplication symbol and the pair of brackets used for clarity.

You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16 and bananas come in bags of 32.

2. You decide that not only must the fruit baskets be identical, but each one must have the same number of apples, oranges, and bananas.

a. What is the least number of bags of each fruit you need to have the same number of apples, oranges, and bananas? I

b. How many of each type of fruit do you have?

c. There must be at least 5 but no more than 10 of each type of fruit in each basket.

How many different ways can you arrange the fruit baskets when using all of the fruit? Explain your reasoning.

Answers

Answer:

You will need to find the least common multiple of 20,16, and 32. The least common multiple of all those will be 160. you will need 8 bags of apples, 10 bags of oranges, and 5 bags of bananas. so for a I believe it would be 8 bags of apples 10 bags of oranges and 5 bags for bananas. as for b it should be 160. and for c  you could arrange either 5 of each fruit for 32 baskets, 10 of each for 16 baskets, or 8 of each for 20 baskets

Step-by-step explanation:

Can someone pls help

Answers

The correct answer is -2/3. Because of bodmass
The correct answer would be 2/3

From a log of wood of length (8x+12) m, a piece of length (4x+3) m was cut. Find the length of the remaining log of wood.


Grade#7

Answers

Answer: 4x+9

Step-by-step explanation: (8x+12)- (4x+3)

Answer: (4x+9)

Step-by-step explanation:

Log of wood = (8x+12)

piece length = (4x+3)

So, (8x+12) - (4x+3)

=> (8x+12) - 4x - 3

=> 8x-4x +12 -3

=> 4x + 9

So, the length of the remaining piece of wood = (4x+9)

hope it helps

The prize of a pencil is Rupees 12.5 What is the prize of 9 such pens?

Answers

Answer:

Price of 1 pencil is 12.5

price of 9 pencil is 12.5*9

=112.5

Answer:

112.5 rupees

Step-by-step explanation:

12.5 x 9 = 112.5

List the decimal numbers 1.54, 1.9, 1.09, and 1.5 in order from least to greatest

Answers

1.09, 1.5, 1.54, 1.9
1.09 , 1.5 , 1.54 , 1.9

Find 25 more than 15% of 300

Explain

Answers

Answer:

70

Step-by-step explanation:

The explanation is given there...

Answer: 70

10% of 300 = 30
5% of 300 = 30/2 = 15
30+15=45
45+25=70

please help math sucks

Answers

Answer:

o  3 pets, at most, are allowed in the apartment.

Step-by-step explanation:

Answer:A

Step-by-step explanation:

x<=3 means maximum number of pets allowed is 3 so, answer is 3 pets at most allowed

A wallet contains 23 bills. All the bills are $1 bills and $5 bills. There are 7 more $1 bills than $5 bills. How much money does the wallet contain?

Answers

Answer:

Step-by-step explanation:

Let's say x is the number of $1 bills and y is the number of $5 bills. We know that:

x + y = 23

x = y + 7

We can use rearrange the second equation and add them together to find x. Then, we can plug x into any one of our equations to find y and calculate how much money is in the wallet.

x + y = 23

x - y = 7

2x = 30

x = 15 $1 bills

15 = y + 7

y = 8 $5 bills

15 * $1 + 8 * $5 = $15 + $40 = $55

Hope this helps!

Question for points :3
The base of a parallelogram is 14 inches, The area of the parallelogram is 98 square inches. Find h the height of the parallelogram.

Answers

Answer:

7 inches

Step-by-step explanation:

The formula for the area of a parallelogram is given by A = bh, where A is the area, b is the base, and h is the height.

The parallelogram base is 14 inches, and the area is 98 square inches. Substituting these values into the formula, we get:

98 = 14h

Solving for h, we can divide both sides by 14:

h = 7

Therefore, the height of the parallelogram is 7 inches.

divide both sides by 14 and h=7

Jasmine accidentally hot a golf ball through her neighbors window to replace the $150 window she pays her neighbor $10 of her tutoring earnings each week. Write an equation for each problem situation then graph each equation

Answers

Answer: y= -10x+150. The graph would have a slope of negative ten, cross the y-axis at (0, 150), and be decreasing. The line will cross the x-axis at (15,0), meaning it will take 15 weeks to pay her neighbor the money for the window.

Step-by-step explanation: y = the money Jasmine still owes to her neighbor. x = the # of weeks. She pays off ten dollars a week. She needs to pay 150 dollars to her neighbor.

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