Mathematics High School

Can someone help me with geometry

Answers

Answer 1

Applying the circle theorems, we have:

4. y = 120°

x = 45°

5. x = 90°

y = 32°

6. x = 40°

y = 20°

7. x = 116°

y = 98°

8. x = 100°

y = 60°

9. x = 54°

y = 75°

What is the Angle of Intersecting Secants Theorem?

The angle formed outside a circle by the intersection of two secants equals half the positive difference of the measures of the intercepted arcs, based on the angle of intersecting secants theorem.

What is the Angle of Intersecting Chords Theorem?

The angle formed when two chords of a circle intersect, equals the half the sum of the measures of the intercepted arcs, based on the angle of intersecting chords theorem.

4. y = 360 - 95 - 30 - 115 = 120°

x = 1/2(120 - 30) [angle of intersecting secants theorem]

x = 45°

5. x = 90° [based on the tangent theorem]

y = 180 - 90 - 58 [triangle sum theorem]

y = 32°

6. x = 360 - 160 - 160 [central angle theorem]

x = 40°

y = 1/2(40) [inscribed angle theorem]

y = 20°

7. x = 180 - 2(32)

x = 116°

y = 1/2[132 + 2(32)] [angle of intersecting chords theorem]

y = 98°

8. x = 180 - 80 [opposite angles of an inscribed quadrilateral are supplementary]

x = 100°

y = 1/2[(2(80) - 90) + 50] [inscribed angle theorem]

y = 1/2[70 + 50]

y = 60°

9. 40 = 1/2(134 - x) [angle of intersecting secants theorem]

2(40) = 134 - x

80 = 134 - x

80 - 134 = - x

-54 = -x

x = 54°

y = 360 - 134 - 54 - 97

y = 75°

Learn more about the angles of intersecting secants theorem on:

https://brainly.com/question/1626547

#SPJ1

Related Questions

If investments double every 9 years and you start with a $600 investment, how much money would you have after 27 years? First, complete the equation: Future Amount = 600 (1 + [?]) ↑ ↑ initial amount growth rate Hint: Doubling means a 100% growth rate. time periods Enter

Answers

Answer:

600(1+1)^3 with future amount being 4800

Step-by-step explanation:

The amount of the money after 27 years will be $4800.

What is the amount?

The quantity of money anyone has is termed as the amount. The solution to the question is given as follows:-

Given that investments double every 9 years and you start with a $600 investment. how much money would you have after 27 years?

We know that the amount is getting double in every 9 years so the number of times the amount will get doubled will be = 27 / 9 = 3

Future amount = 600(1+1)³

Future amount = 600 ( 2 )³

Future amount = 600 ( 8 ) = $4800

Therefore the amount of the money after 27 years will be $4800.

To know more about the amount follow

https://brainly.com/question/25109150

#SPJ2

3^x+3^x =54 what's the value of x ?

Answers

Answer:

x = 3

Step-by-step explanation:

if you need an explanation let me know

Answer:

x = 3

Step-by-step explanation:

Given:

[tex] \implies \rm 3 {}^{x} + {3}^{x} = 54[/tex]

To Find:

Value of x

Solution:

We could re-write 3^x+3^x as:

[We factored here]

[tex] \implies \: 2(3 {}^{x} ) = 54[/tex]

Divide both sides by 2

[tex] \implies \cfrac{2(3 {}^{x}) }{2} = \cfrac{54}{2} [/tex]

[tex] \implies \: 3 {}^{x} = 27[/tex]

Take logarithm on both sides

[tex] \implies \: \log(3 {}^{x} ) = \log(27)[/tex]

[tex] \implies \: x \times \log(3) = \rm \: log \: (27)[/tex]

[tex] \implies \: x = \cfrac{ \log(27)}{ \log \:(3)} [/tex]

[tex] \implies \boxed{x = 3}[/tex]

Hence, x = 3 .

y=x^2+5x-8 to factored form

Answers

Answer:

Factor and set each factor equal to zero. Y=x2+5x−8

Step-by-step explanation:

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

Answers

Answer:

Step-by-step explanation:

Find Measure of angle B (m
18. a = 7 m, b = 5 m, m∠A = 45°

Answers

The value of the variable a is 19.66 and the value of the valriable b is 20.21.

What is the law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by the law of sines,

[tex]\rm \dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

The sine angle is the length of the side opposite to that angle.

Then the third angle of the triangle will be

x + 75 + 35 = 180

x = 70

[tex]\rm \dfrac{\sin 75^o}{b} = \dfrac{\sin 35^o}{12} = \dfrac{\sin 70^o}{a}[/tex]

From the first two-term, we have

sin 75 / b = sin 35 / 12

b = 20.21

From the last two-term, we have

sin 70 / a = sin 35 / 12

a = 19.66

Learn more about the law of sines here:

https://brainly.com/question/17289163

#SPJ1

some one please help me slove this I can't figure it out I will give Brainliest answer to who ever answer frist...

Answers

keeping in mind that twin sides stemming from a common vertex make twin angles at the "base", Check the picture below.

To remain healthy, a person needs at least 8 hours of sleep. A company wants to know if their employees get enough sleep. A random sample of 24 employees revealed that the average number of hours of sleep an employee gets is 6.7 with standard deviation of 2.3. What should be the test statistic?

Answers

Answer:

how many hours a week the employees are working?

Step-by-step explanation:

I could be wrong but that's my fault if it's wrong sorry

Dan has a list of the scores of all his
math tests and quizzes during the
year. What are the mode and median
of the data set?
88, 79, 71, 75, 53, 88
a. mode = 88, median = 88
b. mode = 88, median = 77
C. mode = 77, median = 77
d. mode = 77, median = 88

Answers

Answer:

b. mode = 88, median = 77

Step-by-step explanation:

First, arrange all the numbers least to greatest.

53, 71, 75, 79, 88, 88

The mode is the number that occurs the most.

mode = 88

The median is the middle number. Since there is an even number of numbers, look at the two middle numbers 75 and 79. Add them together and divide by two (finding the average or mean of the numbers).

75 + 79 = 154

154/2 = 77

median = 77

Northlake High School has two lunch periods. Students can eat their lunch in
the cafeteria or on an outside patio. About 35% of students who have first
lunch eat outside. Compare this with the percentage of second-lunch
students who eat outside.

Answers

Answer:

Based on the data given on Northlake High School, we can infer that B. A greater percentage of second-lunch students (39%) eat outside.

What does the data on the First and Second lunches show?

The percentage of second-lunch students who eat outside is:

= Second lunch students who eat outside / Second lunch students

Solving gives:

= 0.18 / 0.46 x 100%

= 0.3913 x 100%

= 39%

This shows that the percentage of students eating their second lunch outside is 39%.

so the answer is B

Step-by-step explanation:

A father is 30 years older than his son.Three years ago he was 3 times as old as his son.How old are both of them

Answers

Answer:

Use app

Question

A father is 30years older than his son. In 12years, the man will be three times as old as his son. Find their present ages.

Medium

Open in App

Solution

Verified by Toppr

Let the present age of the son be x years

Then father's age will be (x+30) years

Given after 12 years father will be three times as old as his son

Therefore,

(x+12)3=x+30+12

3x+36=x+42

3x−x=42−36

2x=6

x=3

x+30=3+30=33

So, the present age of son is 3 years and present age of the father is 33 years

A material has a density of 4.5 g/ml and a mass of 2.6 grams, what is the volume?

Answers

Answer:

The volume is 11.7

Step-by-step explanation:

[tex]\frac{m}{v}[/tex] = d

[tex]\frac{2.6}{v}[/tex] = 4.5

4.5 × 2.6 = 11.7

v = 11.7

Odette made this jewelry box by combining two rectangular boxes.

What is the total surface area of this jewelry box?

PLS HURRY WILL GIVE BRAINLIEST

Answers

382in^2

Adding the sides up we get, 36+36+72+24+24+24+32+48+48+48

Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?

Answers

Answer:

Step-by-step explanation:

First convert the equation to slope-intercept form:

2x - 5y = 7

-5y = -2x + 7

y = 2/5 x - 7/5

So the slope of the given line is 2/5.

So the slope of a perpendicular line will be -1/ 2/5 = -5/2.

Take B:

5x + 2y = 3

2y = -5x + 3

y = -5/2.

So its B.

In a diving contest five judges score each dive. the highest and lowest scores are discarded and then the arithmetic average of the remaining scores is taken as the diver's score. if the five judges score a dive as 6.0, 6.3, 6.2, 6.8, and 6.1, then the diver's score is?

Answers

Using the given information, the diver's score is 6.2

Calculating average score

From the question, we are to calculate the diver's score

From the given information,

The five judges score a dive as 6.0, 6.3, 6.2, 6.8, and 6.1.

Since the highest and lowest scores are discarded

Then, we will discard 6.8 and 6.0

The remaining scores are 6.1, 6.2, and 6.3

Now, the diver's score will be the average of the remaining scores

∴ The diver's score = (6.1 + 6.2 + 6.3) /3

The diver's score = 18.6 / 3

The diver's score = 6.2

Hence, the diver's score is 6.2

Learn more on Calculating average score here: https://brainly.com/question/14015675

#SPJ1

Mrs. Rykus does a survey of her 85 students.
20 say math is awesome
35 say math is the best
30 say math is fun

Based on these results, if Mrs. Rykus asks the whole student population 900 students what they think of math, what is the best approximation for how many students will say math is awesome?
A 400
B 212
C 200
D 315

Answers

Answer:

212

Step-by-step explanation:

85 here is 100%

And 900 is also 100%

That's for the different comparisons. So now, what we do is, we should divide 85 by 900, and then, whatever is our answer, multiply that by 20.

That is surely going to equal how many students are going to say that Math is Awesome for 900 student survey.

Step 1

85/900=10.5882352941

Let's round that to make it

10.5

Step 2

10.5x20=210

That means, if we go exactly, like multiplying all of those numbers, then our answer should be 212 or 200.

Just to be sure that our answer is correct, we will do it with 10.58 now.

Step 3

10.58x20=211.6

So now it looks like it's most probably going to be 212

But still, let's do 10.588 now.

Step 4

10.588x20=211.76

Okay, let's do it again, with 10.5882

Step 5

10.5882x20=211.764

Okay, so I just multiplied the whole number this time, and I still got a decimal, so that means that your answer is 212 basically.

given m
m FS =

pls help me this is due tomorrow

Answers

Answer:

arc FS = 84°

Step-by-step explanation:

the inscribed angle QRF is half the measure of its intercepted arc QF , then

arc QF = 2 × 48° = 96°

the sum of the arcs on a semicircle = 180° , that is

QF + FS = 180°

96° + FS = 180° ( subtract 96° from both sides )

FS = 84°

Lindsay sketches a right triangle with lengths f, g, and h as shown. She uses the Pythagorean Theorem to write the equation f2 + g2 = h2 to represent the triangle. How can Lindsay correct her error? Explain your reasoning.

Answers

Answer:

hope you can understand

What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)

Answers

Answer:

times and divide

they are both diffrent equations

A basket contains six apples, three oranges, ten corn, four pears and six peaches, You randomly select a fruit. What is the conditional probability of selecting a fruit that it is a orange?

Select one:

a.
15.8%

b.
15%

c.
17.5%

d.
10.3%

Answers

Answer:

b. 15%

Step-by-step explanation:

because it is 3 oranges and 3 is equal to 15%

Think about the function f(x) = 3 - 2x.

What does the notation f(0) mean?

Answers

in order to find this you have to replace any x with zero therefore we will have
3 - (2*0) => 3-0 = 3
so the answer is 3

Answer:

the answer is 3

If a rectangle’s perimeter is 86 units and the width is 15 units, what is the length in units?

Answers

Answer:

I think the answer would be 28

(Computer science)

The CPU fan rotation rate (R) was directly proportional to the ambient temperature (T). At a temperature of 25 degrees C, the CPU fan was rotating at 1150rpm. What would the rotation rate be for an ambient temperature of 30 degrees C?

Answers

Answer:1380

Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380

A right cone has a slant height of 6 and a radius of 4. What is its surface
area?

Answers

The surface area of the cone is 40π

What is a cone?

A cone is a solid shape with a circular base and a tapered side.

Analysis:

surface area of a cone = πrl + π[tex]r^{2}[/tex] = π( 6x4) + π(4 x 4) = 40π

Learn more about cone: brainly.com/question/1082469

#SPJ1

Combine the like terms to create an equivalent expression:−3z−z

Answers

Answer:

-4z

Step-by-step explanation:

Hi student! Let me help you out.

_____________________

Note that, -3z and -z are like terms. This means we can combine them right off the bat, which gives us [tex]\mathrm{-4z}[/tex].

[tex]\mathrm{-3z-z=-4z}[/tex]. -4z is our final answer.

Hope that this helped you! have a good day ahead.

Best Wishes!

[tex]\star\bigstar\underline{\underline{\overline{\overline{\textsf{Reach far. AIm high. Dream big.}}}}}\bigstar\star[/tex]

◈◈-Greetings!-◆◆

___________________

Answer:

-4z

Step-by-step explanation:

-3z-z

On combining like terms,

= -4z

Here,the terms are -3z and -z, where - and - combines and + is the result,so we need to add the expression.

help pls im being timed i cant do mathhh

Answers

I think the answer is 4.21

The center circle on a playing field has a radius of 7.5m find its circumference

Answers

Given:r= 7.5 mNote that:r= radius To find:

The circumference of the circular playing field.

Solution:

[tex]\huge\boxed{Formula:C= 2\pi{r}}[/tex]

We'll have to multiply 2, π and radius.

Substitute the values according to the formula.

[tex]C= 2× \pi ×7.5[/tex]

[tex]C= 47.12389 [/tex]

[tex]\large\boxed{C= 47.12 \: m}[/tex]

Therefore, the circumference of the circular playing field is 47.12 feets.

HELP ME PLEASE I WILL MARK BRAINLIEST

Answers

Answer:

A) -4, -2

Step-by-step explanation:

The translation vector is the distance

point A: (3, 1)

point A': (-7, -3)

3 + (-7) = -4

1 + (-3) = -2

Find and label the measures of each of the three missing angles, A, B and C, below.
Lines I and M are parallel.

Answers

Hello, the detailed solution is given below.

Lines L and M are parallel. That's why [tex]B[/tex] angle and [tex]50^{o}[/tex] are equal.

What's the Co-Interior Rule? (Known as U Rule)

Co-interior angles lie between two lines and on the same side of a transversal. If the two lines are parallel, then co-interior angles add to give [tex]180^{o}[/tex] and so are supplementary.

After that, [tex]C[/tex] angle found as [tex]85^o[/tex].

As [tex]A[/tex] angle and [tex]C[/tex] angle must be equal due to the parallel, the missing angles as;

[tex]A=85\\B=50\\C=85[/tex]

Good luck! If you have any questions, then feel free to ask in comments!

Determine the period, amplitude, and phase shift of[tex]f(x)=3cos2\left \{ x-\frac{\pi }{4}]+1[/tex]

b) List the five critical points for the first cycle. (3 marks)

Use this information to sketch the graph off(x) for two

complete cycles. Determine [tex]\frac{1}{4}[/tex] wave and starting point.

Clearly label the scale on both axes. (3 marks)

Answers

->period = [tex]\frac{2\pi }{2} =\pi[/tex]

->a=3, shift [tex]\frac{\pi }{4}[/tex]

->right 1 unit up

Rest are shown in graph

What is the measure of angleq to the nearest whole degree? 43° 49° 53° 58°

Answers

Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°. The correct answer is option C.

The complete question is attached with the answer below.

How to calculate the measure of angle Q?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Based on the triangle attached in the image above, we can deduce the following parameters:

Side QM = 18 units.

Side MN = 17 units.

Side QN = 20 units.

In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:

MN² = QM² + QN² - 2(QM)(QN)cosθ

17² = 18² + 20² - 2(18)(20)cosθ

289 = 324 + 400 - 720cosθ

720cosθ = 724 - 289

720cosθ = 435

θ = cos⁻¹(435/720)

θ = cos⁻¹0.6042

θ = 52.8 ≈ 53°.