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inessss [21]
3 years ago
12

What is the measure of angle TQR?

Mathematics
2 answers:
aleksandrvk [35]3 years ago
8 0
Angle TQR equals to 70 degrees

First you have to find the value of x. An inscribed quadrilateral in a circle has it that opposite angles are supplementary.

So set the angles STQ and SRQ to 180.

3x+5+5x+15=180
8x+20=180
8x=160
x=20

Then find the angles of the three by substituting 20 as x.

Angle STQ=65
3(20)+5
60+5
65

Angle RST=110
4(20)+30
80+30
110

Angle SRQ=115
5(20)+15
100+15
115

Exterior angles of a quadrilateral equal to 360 when added together. So subtract the values from 360 to get the missing length.

360-115-110-65=70

So angle TQR=70
Blizzard [7]3 years ago
3 0

Answer:jjjjj

Step-by-step explanation:

jjjjj

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Joseph has 24 cousins he has 6 more females than males how many females does he have?
Brums [2.3K]
Given that Joseph has 24 cousins, and he has 6 more females than males, the number of females will be obtained as follows;
suppose he had x males, number of females will be x+6.
The total will be:
x+(x+6)=24
x+x+6=24
2x+6=24
2x=24-6
2x=18
x=18/2
x=9
thus the number of male cousins is 9, the number of female cousins will be 9+6=15
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6 0
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An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation
Lelu [443]

Answer:

The inequality f>40 represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

h=60+2.5f

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If woman's height is greater than 160cm, then

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Divide both sides by 2.5.

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Therefore the inequality  f>40 represents the lengths of the femur for which the woman had a height greater than 160cm.

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Step-by-step explanation:

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Step-by-step explanation:

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