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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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Write 9 41/80 as a decimal

jolli1 [7]

Leave the whole number alone for now. Divide 41 by 80 and you get 0.5125

So your answer is 9.5125

6 0

3 years ago

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

3 years ago

Factor 3x2 - 15x - 42.

11Alexandr11 [23.1K]

3 x^{2} - 15x - 42
(x-7)(x+2)
x-7=0 x+2=0
x=7,-2

8 0

3 years ago

a group f 4 people share 1/2 pound of almonds.How many pounds of almonds does each person get? Choose an equation you can use to

taurus [48]

Answer:

0.125 pounds

Step-by-step explanation:

If their are four people in a group with 1/2 pound of almonds you would divide 0.5 by 4. You would get 0.5 because 1/2 is equivalent to 0.5.

8 0

3 years ago

95% of 7 year old children are between inches

Oduvanchick [21]

Answer:

7 year old boys: 45-53 inches

7 year old girls: 45-52 inches

4 0

3 years ago

Read 2 more answers