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3 years ago

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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6(y + 8) = I need help please :)

Allushta [10]

Answer:

6y + 48

Step-by-step explanation:

Use distributive property 6 x y = 6y

(keep the plus sign btw)

6 x 8 = 48

then place it in order: 6y + 48 is your algebra expression

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3 years ago

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4. What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?

Firdavs [7]

Answer:

Part 4) Right triangle

Part 5) Kite

Step-by-step explanation:

Part 4) What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?

Using a graphing tool

see the attached figure N $1$

The triangle of the figure is not equilateral------> The triangle does not have three equal sides

The triangle of the figure is a right triangle------>The triangle has an angle of $90\°$

The triangle of the figure is not isosceles------> The triangle does not have two equal sides

The triangle of the figure is not a right and isosceles

Part 5) What type of quadrilateral is formed by connecting the points $(0, 9), (3, 6), (0, 1), and (-3, 6)$ ?

Using a graphing tool

see the attached figure N $2$

The figure is not a rhombus------> All sides are not congruent

The figure is not a trapezoid-----> has not parallel sides

The figure is a kite------> Two disjoint pairs of consecutive sides are congruent and the diagonals meet at a right angle

6 0

3 years ago

Find c.

Vinvika [58]

<h3>Answer: 0.5</h3>

========================================================

Explanation:

The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.

We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.

This leaves sin(B)/b

We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.

The angle opposite side c is 15 degrees, so C = 15.

The lowercase letters represent side lengths, while the uppercase letters are angles.

--------------------------

We have enough to apply the law of sines to solve for side c.

sin(B)/b = sin(C)/c

sin(105)/2 = sin(15)/c

c*sin(105) = 2*sin(15) ............. cross multiply

c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)

c = 0.53589838486224

c = 0.5

Side c is roughly 0.5 cm long.

Make sure your calculator is in degree mode.

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3 years ago

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Population A and Population B both have a mean height of 70.0 inches with an SD of 6.0. A random sample of 50 people is picked f

Alex

Answer:

Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

Step-by-step explanation:

To yield a more accurate estimate of the population mean, margin of error should be minimized.

margin of error (ME) of the mean can be calculated using the formula

ME= $\frac{z*s}{\sqrt{N} }$ where

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N is the sample size

for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.

Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.

Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

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