Which of the following statements is true for the figures shown

Answer:

x = 5

arcEF = 58degrees

arcGH = 55degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line EH is 180degrees

Hence arcEF+ arcFG + arcGH = 180

10x+8 + 67 + 11x = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105/21

x = 5

Since EF = 10x+8

arcEF = 10(5) + 8

arcEF = 50+8

arcEF = 58degrees

Also, arcGH = 11x

arcGH = 11(5)

arcGH = 55degrees

Answer:

unbias

Step-by-step explanation:

Not asking specific group or person.

This survey question is bad/biased., This survey question is good/unbiased. This survey question is bad/biased. Option A is correct.

A survey is a method of gathering information or data from a group of individuals to understand their opinions, attitudes, behaviors, or characteristics. Surveys typically involve asking questions to a sample of people and collecting their responses.

The quality of a survey question is important to ensure that the data collected is accurate, reliable, and unbiased. A good survey question should be clear, concise, and neutral, avoiding any potential bias or leading the respondent to a particular answer.

In the case of the question "Do you always eat breakfast?", it can be considered a bad or biased survey question because it assumes that the respondent either always eats breakfast or does not. It doesn't provide options or consider other possibilities such as occasionally skipping breakfast or having different breakfast habits on different days. This can lead to inaccurate or incomplete responses, limiting the validity and reliability of the data collected.

To know more about  survey , here

https://brainly.com/question/2141789

#SPJ2

Answer:

89.2 in^2

Step-by-step explanation:

1/2(15.7+6.6)(8)

=89.2 in^2

Answer:

A = 89.2 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 8, b₁ = 6.6, b₂ = 15.7 , then

A = [tex]\frac{1}{2}[/tex] × 8 × (6.6 + 15.7) = 4 × 22.3 = 89.2 in²

Answer:

2x² - 6x

Step-by-step explanation:

(3x² - 4x + 8) + (- x² - 2x - 8) ← remove both parenthesis

= 3x² - 4x + 8 - x² - 2x - 8 ← collect like terms

= 2x² - 6x

Answer:

[tex]y=\frac{15\sqrt{3}}{4}[/tex]

Step-by-step explanation:

We are given that

[tex]\theta_1=60^{\circ}[/tex]

[tex]\theta_2=30^{\circ}[/tex]

We have to find the missing part.

[tex]\frac{x}{15}=cos\theta_1=cos60^{\circ}[/tex]

Using the formula

[tex]\frac{base}{hypotenuse}=cos\theta[/tex]

[tex]x=15cos60^{\circ}=\frac{15}{2}[/tex]

[tex]\frac{z}{15}=sin60^{\circ}[/tex]

Using the formula

[tex]\frac{Perpendicular\;arm}{hypotenuse}=sin\theta[/tex]

[tex]z=15\times \frac{\sqrt{3}}{2}=\frac{15\sqrt{3}}{2}[/tex]

Now,

[tex]\frac{a}{x}=cos60^{\circ}[/tex]

[tex]\frac{a}{\frac{15}{2}}=\frac{1}{2}[/tex]

[tex]a=\frac{1}{2}\times 15/2=\frac{15}{4}[/tex]

[tex]y=x sin60^{\circ}[/tex]

[tex]y=\frac{15}{2}\times \frac{\sqrt{3}}{2}[/tex]

[tex]y=\frac{15\sqrt{3}}{4}[/tex]

Answer:

[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]

Step-by-step explanation:

triángulo 30°-60°-90°

[tex] 1~:~\sqrt{3}~:~2 [/tex]

[tex] 1m~:~m\sqrt{3}~:~2m [/tex]

[tex] \dfrac{m}{2}~:~\dfrac{m\sqrt{3}}{2}~:~m [/tex]

[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + m[/tex]

[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + \dfrac{2m}{2}[/tex]

[tex]perimetro = \dfrac{m + m\sqrt{3} + 2m}{2}[/tex]

[tex]perimetro = \dfrac{3m + m\sqrt{3}}{2}[/tex]

[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]

Answer:

C) 3 times the sq root of 3

Step-by-step explanation:

In a right angle triangle, the COS is definned as the ajacent side over the hypotenuse. So

COS 60 = JK/JL

COS 60 = JK/(6*sq root 3)

.5 = JK/(6*3**1/2)

JK = .5 *(6*3**1/2)

JK = 3*3**1/2

Answer:

y = - 35

Step-by-step explanation:

Expressing as a fraction , that is

[tex]\frac{y}{-7}[/tex] = 5 ( multiply both sides by - 7 to clear the fraction )

y = - 35

Answer:

[tex]\frac{5\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Divide 5 by [tex]\sqrt{2}[/tex] , then rationalize denominator

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=5

we have

by using Pythagoras law

p²+b²=h²

x²+x²=5²

2x²=25

x²=25/2

x²=18

x=[tex]\sqrt{\frac{25}{2}}[/tex]

x=[tex]\bold{\frac{5\sqrt{2}}{2}}[/tex]

Answer:

Step-by-step explanation:

Use the formulas that allow us to find the point that divides the segment into a ratio which is

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where a is 1 (comes from the ratio) and b is 3 (comes from the ratio as well). Filling in:

[tex]x=\frac{3(9)+1(6)}{1+3}=\frac{27+6}{4}=\frac{33}{4}[/tex] and then y:

[tex]y=\frac{3(-1)+1(-10)}{1+3}=\frac{-3-10}{4}=-\frac{13}{4}[/tex] so the coordinates in question are

[tex](\frac{33}{4},-\frac{13}{4})[/tex]

Answer:

Step-by-step explanation:

the answer would be (7,-7)

Answer:

d=3

Step-by-step explanation:

13d=39

d=39/13

d=3

Hello!

6d + 7d = 39 <=>

<=> 13d = 39 <=>

<=> d = 39 : 13 <=>

<=> d = 3 => 6 × 3 + 7 × 3 = 39

Good luck! :)

Answer:

Hello there,

The correct answer to this question would be D 1/6

Step-by-step explanation:

I had took the test and it said it was correct.

Anyways hope this helps

if the answer is correct pls mark Brainliest

thank you, have a nice day

Answer:

there are 6 units

hope this help

Answer:

The answer would be

Step-by-step explanation:

you multiple 8 and 5 then you multiple 12 (inches) then subtract the inch that makes up 12 let me know if you need help

Answer:

d

Step-by-step explanation:

A linear pair sum to 180° , then

x - 13 + x + 7 = 180

2x - 6 = 180 ( add 6 to both sides )

2x = 186 ( divide both sides by 2 )

x = 93 → d

Answer:

I think it is 52 degrease

Step-by-step explanation:

Hello :)

We know that :

30g of cornflakes ⇒ 2.5g of fat

320g of cornflakes ⇒ xg of fat

x = 320 * 2.5 ÷ 30 ≈ 26.7 g of flat

Have a nice day!

Answer:

3000 ................,...

Answer:

93600

Step-by-step explanation:

The divisibility rule of 24 is that the number has to be divisible by both 3 and 8. So we need to plug in numbers for x and y to find the greatest number. 93600 should be the answer.

Answer:

Answer 1 :-

[tex]\implies m_1 = -3 [/tex]

[tex]\implies y - intercept = 7 [/tex]

Answer 2 :-

[tex]\implies m_1 = -\dfrac{1}{2} [/tex]

[tex]\implies y - intercept = -4 [/tex]

Step-by-step explanation:

The Slope Intercept Form of the line is given to us . The equations given are ,

[tex]\implies y + 3x = 7 [/tex]

[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]

Now we know the standard equation of slope intercept form , is

[tex]\implies y = mx + x [/tex]

Where ,

So , we can write about the equations as ,

[tex]\implies y = -3x + 7 [/tex]

[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]

On comparing to the Standard form ,

Answer 1 :-

[tex]\implies m_1 = -3 [/tex]

[tex]\implies y - intercept = 7 [/tex]

Answer 2 :-

[tex]\implies m_1 = -\dfrac{1}{2} [/tex]

[tex]\implies y - intercept = -4 [/tex]

Answer:

137

Step-by-step explanation:

given AP

t1 = -3 and t2 = 4

using,

d=t1-t2

=4-(-3)

=7

And,

tn=a+(n-1)d

t21=(-3)+(21-1)(7)

t21=137

Answer:

B) -137

Step-by-step explanation:

a=a1=−3,a2=4

∴d=a2−a1=4−(−3)=4+3=7

Answer:

€3,551.05

Step-by-step explanation:

31*29=899

899*3.65=€3,551.05

the school will get an estimate of €3,551.05

Answer:

The t-value for this data is -4.

The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.

Step-by-step explanation:

College national study finds that students buy coffee from a coffee shop on average 12 times a week, I believe it may be different for UML students.

At the null hypothesis, we test if the mean is of 12, that is:

[tex]H_0: \mu = 12[/tex]

At the alternative hypothesis, we test if the mean is different of 12, that is:

[tex]H_1: \mu \neq 12[/tex]

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

I collect data from a sample of 36 UML students and find that they buy coffee on average 8 times a week, with a standard deviation of 6 days.

This means that [tex]n = 36, X = 8, s = 6[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{8 - 12}{\frac{6}{\sqrt{36}}}[/tex]

[tex]t = -4[/tex]

The t-value for this data is -4.

P-value of the test:

Considering a standard significance level of 0.05.

Test if the mean is different from a value, so two-tailed test, with 36 - 1 = 35 df and t = -4. Using a t-distribution calculator, the p-value is of 0.0003.

The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.

Cubic centimetres since they are cubes. Did you add any picture of the question? There seems to be none.

Answer:

x-2

The choose (1)

Step-by-step explanation:

(x³-3x²+3x-2)÷(x²-x+1)

(x-2)(x²-x+1) ÷ (x²-x+1)

Delete (x²-x+1)

so = (x-2)

Answer:

Step-by-step explanation:

Prime factorize 8 and 64

8 = 2* 2 * 2 = 2³

64 = 2*2*2 *2*2*2 = 2⁶

2*8*64 = 2* 2³ *2⁶ = 2¹⁺³⁺⁶ = 2¹⁰

In exponent multiplication, if base are same, then add the exponents.

Answer:

B

Step-by-step explanation:

plss pa brainliest me thanks