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REY [17]
1 year ago
8

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

You might be interested in
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:

40

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
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