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Fed [463]
3 years ago
8

L 6.2.3 Qulz: Proving Right Triangle Congruence

Mathematics
1 answer:
Vikki [24]3 years ago
6 0

Answer:

angle k is the answer with verticle line above hope it will help you by

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20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her b
solmaris [256]

Answer:

2/5

Step-by-step explanation:

6 0
3 years ago
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Harvey worked 36 hours this week. He earns $28.46 an hour. How much did he earn this week
Snowcat [4.5K]

Answer:

$1,024.56

Step-by-step explanation:

Simple math, So what you would do to find this answer would be taking the amount of money hes earning an hour and times that by how many hours he worked that week. so $28.46 x 36 = $1,024.56

4 0
4 years ago
Read 2 more answers
Find the area of quadrilateral ABCD whose vertices are A(1,1) B(7,-3) C(12,2) D(7,21)
sasho [114]

Answer:

The area of quadrilateral ABCD is 139 unit^2.

Step-by-step explanation:

Given:

Quadrilateral ABCD whose vertices are A(1,1) B(7,-3) C(12,2) D(7,21).

Now, to find the area.

The coordinates of the quadrilateral are A(1,1), B(7,-3), C(12,2), D(7,21).

So, to find the area we need to bisect the quadrilateral ABCD and get the triangles ABC and ADC and then calculate their areas:

In Δ ABC:

A(x_1,y_1)=(1,1)\:,\:B(x_2,y_2)=(7,-3)\:and\:C(x_3,y_3)=(12,2)

Now, to get the area of triangle ABC:

Area\,of\,triangle\,=\,\frac{1}{2}\left|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\right|

Area\,of\,triangle\,=\,\frac{1}{2}\left|1(-3-2)+(7)(2-1)+12(1--3)\right|

Area\,of\,triangle\,=\,\frac{1}{2}\left|1(-5)+(7)(1)+12(4)\right|

On solving we get:

Area\,of\,triangle\,=25.

In Δ ADC:

A(x_1,y_1)=(1,1)\:,\:D(x_2,y_2)=(7,21)\:and\:C(x_3,y_3)=(12,2)

Now, to get the area of triangle ADC:

Area\,of\,triangle\,=\,\frac{1}{2}\left|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\right|

Area\,of\,triangle\,=\,\frac{1}{2}\left|1(21-2)+(7)(2-1)+12(1-21)\right|

On solving it by same process as above we get:

Area\,of\,triangle\,=114

Now, to get the area of the quadrilateral we add the areas of the triangles ABC and ADC:

25+114\\=25+114\\=139\ unit^2

Therefore, area of quadrilateral ABCD is 139 unit^2.

4 0
3 years ago
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Andru [333]

Answer:

y = 18 * 1.15^x

Step-by-step explanation:

Given

a = 18 --- initial

r =15\% -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

y = ab^x

Where

b=1 +r

Substitute r =15\% in b=1 +r

b = 1 + 15\%

b = 1 + 0.15

b = 1.15

Substitute b = 1.15 and a = 18 in y = ab^x

y = 18 * 1.15^x

5 0
3 years ago
Here is a scale diagram of part of a wall.
Rus_ich [418]

As Kamran has bought tiles for $60 while he needs only $50 tiles, therefore, he has bought enough tiles to cover the entire wall.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

Given the length of the wall on the diagram is 8 cm by  4 cm. And it is given that 4 cm is equal to 1 meters. Therefore, the original dimensions of the wall are,

8 cm → 8×(1/4) → 2 meters = 200 cms.

4 cm → 4×(1/4) → 1 meters = 100 cms

Now, the area of the wall in reality is 200 cm by 100 cm. Therefore, the total area of the wall is,

Total area = 200 cm × 100 cm = 20,000 cm²

The area of a single square tile of side length 10 cm is,

Area of a single tile = 10cm × 10cm = 100 cm²

The number of tiles that will be needed to cove the entire wall will be,

Number of tiles needed = 20000 / 100 = 200

Since the cost of a single tile is $0.25, therefore, the cost of 200 tiles will be,

Cost of 200 tiles = $0.25× 200 = $50

As Kamran has bought tiles for $60 while he needs only $50 tiles, therefore, he has bought enough tiles to cover the entire wall.

Learn more about Ratios:

brainly.com/question/1504221

#SPJ1

4 0
2 years ago
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