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1 year ago

XB is the angle bisector of ZAXC. MZAXB23А.BVхC с

Mathematics

1 answer:

neonofarm [45]1 year ago

4 0

To obtain x, we can sum the angles < AQB and < BQC

=> 5X + 8X - 24

=> 13X -24

we are also told that that the sum of their angles is 80

13X - 24 = 80

13 X = 24 + 80

13X = 104

Divide both sides by 13

x = 104/13

x = 8

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On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

$R =(5,5)$

$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0

2 years ago

A rectangle has a width of 10 centimeters. The rectangles length is 4 times it’s width what is the perimeter of the rectangle

DiKsa [7]

Answer:

Step-by-step explanation:

the length would be 40 because four tens equals 40.

4 0

3 years ago

you are building a rectangular wading pool you want the area of the bottom to be 90 ft squared you want the length of the pool t

Sindrei [870]

L=2W+3, A=LW, using L from the first in the second gives you:

A=(2W+3)W

A=2W^2+3W, and we are told A=90 so

2W^2+3W=90

2W^2+3W-90=0

2W^2-12W+15W-90=0

2W(W-6)+15(W-6)=0

(2W+15)(W-6)=0, since W>0 for all real possibilities,

W=6ft, and since L=2W+3

L=15ft

So the pool will be 6 ft wide by 15 ft long.

5 0

3 years ago

What’s the surface area

Nezavi [6.7K]

Answer:

Step-by-step explanation:

3 0

2 years ago

MARKING AS BRAINLIST <br> Round 0.456 to the nearest tenths.

BaLLatris [955]

Hi, the answer will be 0.5. Hope this helped :).

6 0

3 years ago

Read 2 more answers