Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Find the length of AC if AX=3, XB=4, and AY=1.5.

AC=2

AC=4

AC=2.5

AC=3.5

Answers

Answer 1

Answer: AC=3.5

Solve proportionally:3 over 4 equals 1.5 over x.

3x= 6

6/3=2

X=2

2+1.5=3.5

Answer 2

Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Than the length of AC will be 3.5.So,The answer is  AC=3.5 Given: AX = 3 ,XB = 4, AY = 1.5

To find: AC

Since line XY is parallel to BC, then AX/XB = AY/YC

Substitute the given values: 3/4 = 1.5/YC

Solve for YC: YC = 6/5

AC = YC + AY = 6/5 + 1.5 = 3.5

Therefore, the length of AC is 3.5.

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Related Questions

??? I need help :(((

Answers

Sorry I need points

Two angles are supplementary. The measure of one angle
is 16 more than two times the measure of the other
angle. How many degrees are in each angle?

Answers

Answer:

82 and 98.

Step-by-step explanation:

set up 2 equations

x+y=180

2x+16=180

you start by solving the second equation to find one of the angles.

180-16= 164

2x=164

164÷2= 82

x=82

since you've solved that equation, add in the missing variable to solve for the next one

82+y=180

180-82= 98

HELP WITHIN A HOUR!
Show work, please!

Answers

Answer:

A) 24

B) 24

Step-by-step explanation:

A) equilateral triangle means that all sides are equal

so each side is = 24 because the perimeter = 72

72/3= 24

B) 1 side = 24 and they gave you that 10+7h = 24

so h = 2

so hight of triangle = 2

Area = 1/2(b)(h)

so 24(2)(0.5) = 24

_____

Have fun, don't forget to brilliant

Alice received a 40% on her science test. Alice correctly answered 16 questions. How many questions were on the test.

Answers

Answer:

40 questions were on the test.

Step-by-step explanation:

40%=0.4

0.4x=16

x=16/0.4

x=40

What do these circles have in common?

Answers

Answer:

Step-by-step explanation:

Same diameter

Same y values! make me brain list plz lol :)

of Tank A, which measures 80 cm by 30 cm by 50 cm, is filled with water
and of Tank is nilled with water. The ratio of the volume of water in
Tank A to that in Tank Bis 5. 2. How much more water is needed to up
Tarik ?​

Answers

Answer:

72L

Step-by-step explanation:

I'm assuming Tank A and Tank B have the same volume. The question has many typos and is a bit hard to understand

Tank A Volume

V = l × w × h

= 80 × 30 × 50

= 120,000cm²

Tank A Capacity = 120,000ml

=120L

The Question states that Tank A is filled to capacity which means Tank A currently holds 120L of water

Tank A:Tank B = 5:2 = 120:x

120 ÷ 5 = 24L

24 × 7 = 168

168 × [tex]\frac{2}{7}[/tex] = 48

This means Tank B currently holds 48L of water

120 - 48 = 72L

∴72 more litres of water is needed to fill Tank B

Over the period of a year, Julie's net worth decreased. Which of the following could be true?

A. Julie's assets and liabilities decreased by the same amount.
B. Julie's assets and liabilities increased by the same amount.
C. Julie's assets increased by more than her liabilities.
D. Julie's assets decreased by more than her liabilities.

Please select the best answer from the choices provided

А
B
С
D

Answers

B hope this helps!!!

What is the slope of the line going through the points ( -1, 4 ) and ( -1, -3 )?
PLEASE HELP

Answers

slope is (y2-y1)/(x2-x1)
(-3-4)/(-1- -1) = -7/0

since numbers are not divisible by 0
the slope is undefined

the line is a vertical line with an undefined slope

Shelley is searching online for airline tickets two weeks ago the cost to fly from Boston to Hartford was 210.now the cost is 285

Answers

Answer:

the price went up 75 dollars, about 26.3%

Solve the following quadratic equation by finding the value of x:

x^2 + 8x + 7= 0

(include solving steps please)

Answers

use the quadratic formula: (-b±√(b²-4ac))/(2a)

a=1
b=8
c=7

(-8±√(8²-4x1x7))/(2x1)

x= -1
x= -7

13 to the 2nd power =169. what would be the inverse to undo it?​

Answers

Answer:

The inverse is [tex]\sqrt{169}[/tex]

Step-by-step explanation:

Answer:

169 divided by 13

the square root of 169

plz give brainiest

Step-by-step explanation:

[tex]\sqrt{169} =13[/tex]

Aysia went to the grocery store to buy cold cuts for making sandwiches for lunch. She wants to buy 0.75 lb. of ham that costs $7.92 per pound.

How much will she spend on ham? Show your work using a model or equation.

PLEASE ANSER QUICK

Answers

Answer:

$5.94

Step-by-step explanation:

0.75 = 3/4

you can do 7.92*0.75 = 5.94 or do 7.92/4 = 1.98 and then 1.98*3 = 5.94 to find the total amount, whichever works better :)

is anyone able to help me?

Answers

Answer:

The volume of this triangular prism is 20[tex]cm^{3}[/tex]

Step-by-step explanation:

Just like it is shown in the picture we can use the formula for the volume of a triangular prism.

[tex]V = \frac{1}{2}bhl[/tex]

In our case b = 5cm, h = 2 cm, l = 4cm. Now we just plug in the values and get...

[tex]V = \frac{1}{2}bhl\\\\[/tex]

[tex]V = \frac{1}{2}(5)(2)(4)[/tex]

[tex]V = 20cm^{3}[/tex]

Therefore the volume of the triangular prism is 20[tex]cm^{3}[/tex].

Mental Math: If a module contains 100 squares and 90 of the squares in the model are being used What is the percentage of those squares ?

Answers

Answer:

90% are being used out of 100%.

area of a parelleogramwith base 10 centimeter and hieght 5.6 centimetr is
pls say the answer​

Answers

Answer:

28cm^2

That is your answer.

Answer:

A = 56 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = base × height

   = 10 × 5.6

   = 56 cm²

all you need is in the photo

PLEASE DON'T DO STEP BY STEP


PUT ONLY THE ANSWER


PLEASEEEEEEEEEEEEEEEEEEEEE EEEEEEEÈ

aggravated​

Answers

Answer:

Step-by-step explanation:

-4 and 3


The game of Nudge is played with a set of 15 pieces called 'bumps! Some bumps weigh 15 g, some weigh 30 g and some weigh 40g A full set of bumps has a total
weight of 420 g and contains a different number of each type.
How many 30 g bumps are there in a full set of 15 bumps

Answers

Some bumps weigh 15g, some weigh 30g and some weigh 40g. A full set of bumps has a total weight of 420g and contains a different number of each type. How many 30 g bumps are there in a full set of 15 bumps? the answer is 8.

if sarah shot 40 free throws and only made 25% of them. how many did she make

Answers

100/25=4
40/4=10

She made 10 throws.


David has a rectangle and a right triangle.
The length of the rectangle is 5 more than its width, w.
The length of the shorter leg of the triangle is equal to the rectangle's
width.
The length of the longer leg of the triangle is twice the length of the
rectangle.

Which function, f(w), represents the combined area of the rectangle and the
triangle?
A f(w) = 2w2 + 10w
B. f(w) = 3w2 + 15w
С f(w) = W2 + 10w + 25
D f(w) = W2 + 15W + 50

Answers

Answer:

B

Step-by-step explanation:

Have a lovely day! Please let me know if I'm wrong!

Tell whether the ratios form a proportion
2: 8/3 and 2/3: 6

Answers

Answer:

no

Step-by-step explanation:

you can cross-multiply and see if you get the same products

(2/1 ÷ 8/3) / (2/3 ÷ 6/1)

2/1 · 6/1 ≠ 8/3 · 2/3

12 ≠ 16/9

Jack is buying fencing to surround his garden. If his garden has a perimeter of 42 feet, and fencing costs $5.00 a yard, how much money will he need for the fencing?

Answers

1 yard = 3 ft
42/3 = 14
14 x 5 =
You solve the rest

Simplify expression below (7 + i)-(6-4)

Answers

Answer:

5 + i

Step-by-step explanation:

Answer:

5+i is the answer

Step-by-step explanation:

cause 6-4=2-7=5+i

25 POINTS Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.



Drag and drop the choices into the boxes to correctly complete the table.

Answers

Answer:

Corresponding: The top left, The bottom left

Alternate interior: Bottom right

Alternate exterior: Top middle

None of these: Top right

Step-by-step explanation:

Triangle MNO is rotated 180degree using the origin as the center of rotation.

On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).

Which sequences of transformations will produce the same results? Check all that apply. Triangle MNO is rotated 180degree using the origin as the center of rotation.

On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).

Which sequences of transformations will produce the same results? Check all that apply.

Answers

Answer:

b dce

Step-by-step explanation:

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and height
as the cylinder?

Answers

The approximate volume of a cone with the same diameter and height as the cylinder is 131.95 cm³.

How to calculate the volume of a cylinder?

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.

Radius = diameter/2 = 6/2 = 3 cm.

By substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of cylinder, V = π × 3² × 14

Volume of cylinder, V = π × 9 × 14

Volume of cylinder, V = 395.8 cm³.

For the volume of this cone, we have:

Volume of cone, V = 1/3 × πr²h

Volume of cone, V = 1/3 × 395.8

Volume of cone, V = 131.95 cm³.

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WILL GIVE BRAINLIST! Help!!
What is the value of x?

Enter your answer in the box.

X= ( ? )

Answers

Answer:

the other leg of the angle will equal 8

Answer:

The other leg is the only one that will equal 8

Step-by-step explanation:

It’s my last question :(

Answers

Answer:

Perimeter =  28·√2 + 24 feet

Step-by-step explanation:

The dimensions of the initial sheet of plywood are;

The length of the sheet of plywood = 25 ft.

The width of the sheet of plywood = 14 ft.

The shape cut from each corner of the sheet of plywood  = A right triangle

The leg length of each of the cut out right triangles = 7 ft.

The number of leg lengths of the right triangle cut from the length side of the initial sheet of plywood = 2

The length of the parallel sides of the remaining hexagonal piece of plywood = Initial length of the plywood - 2 × The leg length of the cut out right triangle

∴ The length of the parallel sides of the remaining hexagonal piece of plywood = 26 ft. - 2 × 7 ft.  = 12 ft.

The other side length of the remaining hexagonal piece of plywood = The hypotenuse side of the cut out right triangle

The hypotenuse side of the cut out right triangle = √((7 ft.)² + (7 ft.)²) = 7·√2 ft.

∴ The other side length of the remaining hexagonal piece of plywood = 7·√2

The number of side lengths in the remaining hexagonal piece of plywood = 4

The perimeter of the remaining hexagonal piece of plywood = 2 × The length of the parallel sides + 4 × The other side lengths

∴ The perimeter of the remaining hexagonal piece of plywood = 2 × 12 ft. + 4 × 7·√2 = (28·√2 + 24) ft.

The perimeter of the remaining hexagonal piece of plywood = (28·√2 + 24) feet

Solve the system of equations by using the Elimination Method...
4x + 5y = 100
3x - 2y =6​

Answers

Answer:

fm

Step-by-step explanation:

what is 4 times the power of 18?

Answers

Answer:

68719476736

Step-by-step explanation:

Answer:

687,194,76,736

Step-by-step explanation:

all u have to do is multiply 4 by 18 times no like this 4x18 cuz that = 72

u gotta do 4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4= 687,194,76,736

у
9-
8-
7+
6+
5+
4+
3+
2+
1+
-9 -8 -7 -6 -5 -4 -3 -2
2 3 4 5 6 7 8 9
-2+
-3-
-4+
-5+
-6+
-7+
-8
-9

Answers

Where is the problem
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