50 points + brainliest answer questions 7 and 8 with work and all

50 Points + Brainliest Answer Questions 7 And 8 With Work And All

Answers

Answer 1

Answer:

7) m∠BHE = 146°

8) m∠BAC = 25°

Step-by-step explanation:

Question 7:

Given that, [tex]\displaystyle\mathsf{\overline{CD}\:||\:\overline{EF}}[/tex], and that [tex]\displaystyle\mathsf{\overline{AB}}[/tex] is a transveral.

We are also provided with the following measures of the angles: m∠DGH = 2x, and m∠FHB = 5x - 51.

∠DGH and ∠FHB are also corresponding angles, as they have corresponding positions on the same side of the transversal, [tex]\displaystyle\mathsf{\overline{AB}}[/tex]. These two angles also have the same measure.  

Solve for x:

In order to find the measure of ∠BHE, we could set up an equality statement on ∠DGH and ∠FHB to solve for the value of x.

m∠DGH = m∠FHB

2x = 5x - 51

Add 51 and subtract 2x from both sides of the equation:

2x -2x + 51  = 5x - 2x - 51 + 51

51 = 3x

Divide both sides by 3:

[tex]\displaystyle\mathsf{\frac{51}{3}\:=\:\frac{3x}{3}}[/tex]

x = 17

 m∠DGH = 2x = 2(17) = 34°,

 m∠FHB = 5x - 51 = 5(17) - 51 = 34°.

Since ∠FHB and ∠BHE are supplements (whose sum add up to 180°), we could determine the measure of ∠BHE as follows:

m∠BHE + m∠FHB  = 180°

m∠BHE + 34° = 180°

m∠BHE + 34°- 34° = 180°- 34°

m∠BHE = 146°.

Therefore, the measure of ∠BHE is 146°.

Question 8:

Given that ΔABC with [tex]\displaystyle\mathsf{\overline{AC}}[/tex] extended to D, and that m∠ABC = 63° and m∠BCD = 92°:

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. In other words: ∠BCD = ∠BAC + ∠ABC.  

Before we could apply the Exterior Angle Theorem, we must first find m∠BAC. Since ∠BCD and ∠BCA are supplements:

m∠BCD + m∠BCA = 180°

92° + m∠BCA = 180°

92° - 92°+ m∠BCA = 180° - 92°

m∠BCA = 88°

Solve for m∠BAC:

Now that we have the measure for ∠BCA, we can find m∠BAC by applying the Triangle Sum Theorem where it states that the sum of the interior angles of a triangle is equal to 180°.

m∠BCD + m∠ABC + m∠BAC = 180°

92° + 63° + m∠BAC  = 180°

125° + m∠BAC  = 180°

155° - 155° + m∠BAC  = 180° - 155°

m∠BAC  = 25°

Therefore, the measure of ∠BAC is 25°.


Related Questions

Dylan had 300 5p coins in a box last month. He now has 360 5p coins. Find the percentage increase.

Answers

300 + 60 = 360360 ÷ 5 = 72

Therefore the percentage increase is 72

72

Find the value of x.
(8x + 2)°
60°
Y
70°
Z

Answers

Here according to angle sum property all angles sum u up 180°

So,

[tex]8x + 2 + 60 + 70 = 180 \\ 8x + 132 = 180 \\ 8x = 180 - 132 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]

- BRAINLIEST answerer

A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 3 feet by 5 feet, determine the area of the space to be painted.

Answers

Answer:Measure length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length.

Step-by-step explanation:

The required area that is to be painted is given as   150 square feet.

Given that,
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). each window is 3 feet by 5 feet,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Area of the wall = 12 × 15 = 180 square feet
Area of the two windows, = 2 × 3 × 5 = 30 square feet
Area to be painteded = 180 - 30 = 150 square feet,

Thus, the required area that is to be painted is given as   150 square feet.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2


Which of the following Venn diagram represents two sets with no common elements?​

Answers

The Venn Diagram B, C and D, all represents two sets with common elements.

In B, the circle F is inside the circle G, so F share all of its elements with G. It is like a baby inside the belly of her mother :)

In C, F and G circles intersect and the intersection is their common space, and

the D is like the B.

But A reprents two sets F and G with no common elements. So the answer is A.

Good Luck

Line l is a reflection in the x-axis of line k. Write an equation that represents line k.

Answers

Answer:

(-4,3)

Step-by-step explanation:

nejsjsjssjsususheheueueyeehejebebe

Answer: y = (5/3)x + -1

Step-by-step explanation:

The slope is -5/3, so since its a reflection in the x - axis, the new slope would be the opposite, 5/3. Now for the +1, you just have to find the y intercept by plotting the dots at the opposite version of the y number that is already there. For example because the point (0,1) has 1 as its y number, you make it into -1, and for example if you have the point (3,-4) since -4 is the y number you change it to 4.

Please help me out with this Math sheet. Thanks

Answers

Answer:

1. acute

2. obtuse

3. right

4. acute

5. straight

6. obtuse

7. acute

8. obtuse

9. straight

10. ∠ EAD , ∠ CED , ∠ BCE , ∠ BEA  , ∠EBC

11. ∠CDA  , BCD

12. ∠AED ,∠BEC

13. ∠ AEC, ∠ BED

14. ∠ EAU , ∠EUI , ∠IUO , ∠OAE

15. ∠ EUO , ∠IUA

16. ∠AUO , ∠EIO

the 7th term of a Gp is 192 and it common ratio is 2 find the first term​

Answers

[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]

Round to 2 decimal places 0.966

Answers

Answer:

Step-by-step explanation:

round to 2 places 0.966: 1.00

A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches ) D) 113.09 square inches​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Radius is half of diameter. So the radius of the circle is 6 in.

The formula for getting the area of circle is:

A = π[tex]r^{2}[/tex]                                π = 3.1416

A = (3.1416)(6)[tex]^{2}[/tex]

A = (3.1416)(36)

A = 113.09 square inches

PLEASE HELP WITH THIS QUESTION

Answers

Answer:

Heigh <= 63

Width <= 56

Length <= 61

Step-by-step explanation:

Height: x+7

Width: x

Length: x + 5

(x + 7) + (x) + (x + 5) <= 180 cm^3

3x + 12<= 180

3x <= 180-12

x <= 168/3

x <= 56

How do you do -9-(-2)-(-6)-4?

Answers

it would be -9 + 2 + 6 - 4

when you have -(-) it becomes +

there are 350,000 in a warehouse predict the number of light bulbs that are likely to have no defects

Answers

Answer:

175000.(or around that number)

Step-by-step explanation:

half of 350,000 is 175000.

El primer término de una progresión geométrica es 3 y el séptimo 12 288. Hallar la suma de los siete términos.

Answers

Answer:

16383

Step-by-step explanation:

El primer término de la progresión geométrica es 3 y lo llamaremos [tex]a[/tex].

Se tiene que una progresión geométrica es de la forma:

[tex]a, ar, ar^2, ar^3, ar^4, \cdot \cdot \cdot[/tex]

Donde [tex]r \neq 0[/tex] y es la proporción es común. Por lo tanto si el séptimo número de la sucesión es 12.288 este se puede re-escribir como:

[tex]ar^6 = 12.288[/tex]

Si se resuelve la ecuación para hallar [tex]r[/tex] se tiene

[tex]r = \sqrt[6]{\frac{12.288}{a} } = \sqrt[6]{\frac{12.288}{3} } = \sqrt[6]{ 4096} = 4[/tex]

Ahora se halla cada número de la progresión geométrica entre 1 y 7 para finalmente sumarlos

[tex]ar^0+ar^1+ar^2+ar^3+ar^4+ar^5+ar^6[/tex]

[tex]3+12+48+192+768+3072+12288[/tex] = 16383

Por lo tanto la sumatoria de los primeros [tex]7[/tex] términos de la sucesión son 16383

7k -2(k+4) What is this answer?

Answers

5−8

llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Solve for the missing variable

Answers

Answer:

x = 7.5.

The two lines on the side of the triangle in the screenshot show us that the two lines made are the same length. So the difference between the first two values, i.e. 22.3 and 14.9 is the same difference between 14.9 and x.

Step-by-step explanation:

hope this helps. . .<3

good luck!    uωu

Answer:

Step-by-step explanation:

14.9 is the middle value of x and 22.3. So your formula looks like this.

(x + 22.3) / 2 = 14.9          Multiply both sides by 2

2(x + 22.3) / 2 = 14.9*2    Remove the brackets.

x + 22.3   = 29.8              Subtract 22.3 from both sides

x = 29.8 - 22.3                

x = 7.5

find the integral.......

Answers

Answer:

1/5(2ln|x|+3*5^1/3)+c

Step-by-step explanation:

Part 2 out of 2
Heather's mom says that they would save more than $100 if they buy tickets for their family on opening
weekend. Do you agree or disagree with Heather's mom? Complete the explanation of how to find how
much they would save.
You ? v with Heather's mom.
The regular price tickets would cost them $80 x 4 people, which equals $
The discounted tickets would cost them $ * 4 people, which equals $224.
To find the difference subtract the discounted tickets total $224 from the regular price tickets total $
which equals $
They would save
which is less than $100.
Next
✓ Check
Next
? A
А
Question 18 of 21

Answers

Answer:

i agree I can't really explain why though sorry

Heather's mom's estimation is wrong, as they will only save $96.

What is a percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, The special price for the amusement park ticket costs $56. This is 70% of the regular price, Heather's mom says that they would save more than $100 if they bought tickets for their family on opening weekend.

Let the original price of the ticket be x,

70% of x = 56

x = 56x100/70

x = 80

That means, the regular price is $80

On a regular day, ticket will cost = 80x4 = $320

On the special ticket price cost = 56x4 = $224

The saved priced = 320-224 = $96

Hence, Heather's mom's estimation is wrong, as they will only save $96.

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ1

Which is the correct solution for the following inequality: 9 ≤ 4x + 1 < 21

2 < x < 5
2 < x < 5

2 < x < 5
2 , <, x < 5

2 < x < 5

Answers

Answer:

2<=x<5

Step-by-step explanation:

first subtract one from all pieces, then divide by four. because you never divide by a negative so switching of sides is needed. Two is less than or equal to x which is less than five.

Phyllis invested $50,000 in two different types of stock. The first type earned 10% and the second type earned 15%. If the profit on the 15% stock was $2,500 more than the profit on the 10% stock, how much did Phyllis invest in the 15% stock?​

Answers

Answer:

$ 30,000

Step-by-step explanation:

0.15(50,000 - x) - 0.1x = 2,500

7,500 - 0.15x - 0.1x = 2,500

7,500 - 2,500 = 0.15x + 0.1x

5,000 = 0.25x

5,000/0.25 = x

x =20,000

50,000 - 20,000 = 30,000

0.15 * 30,000 = $4,500

0.1 * 20,000 = $2,000

$4,500 - $2,000 = $2,500

In the ratio of 3:2:2, three brothers invested a total of 49000 pesos to a store. Find each brother's share in the investment.

Answers

Answer:

21000,14000,and14000

Step-by-step explanation:

3x+2x+2x=49000

7x=49000

x=7000

3×7000=21000

2×7000=14000

2×7000=14000

PLEASE HELP WITH THIS QUESTION

Answers

Answer:

which question can I help you

5) Mike and Mei each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Mike spent $70 on 5 daylilies and 5 shrubs. Mei spent $62 on 1
daylily and 5 shrubs. Find the cost of one daylily and the cost of one shrub.

Answers

1 shrub cost $12
1 daylily cost $2

1 D: $2
5 S: $60
60+2= 62

5*2=10
5*12=60
60+10=70

hope this helps :)

4
b(x) = 16.22 – 25
bx)
Use the drop-down menus to factor the expression and find the zeros of b(x).

Answers

Answer:

1) (4x)² - (5)²

2) (4x + 5) (4x -5)

3) Zeros of b are [tex]\frac{5}{4}[/tex] and [tex]\frac{-5}{4}[/tex] (can also be 1.25 and -1.25)

The function f(t) = t2 + 4t - 14 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your
work.

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on
the graph. How do you know?

Part C: Determine the axis of symmetry for f(t).

Answers

Answer:

a: [tex]f(t)=(t+2)^2-18[/tex]

b: vertex: (-2, -18)

   minimum

c: x = -2

Step-by-step explanation:

Completing the square is difficult to explain in words. but I'll try my best. Let me know if you need any more information.

Part A ===============

Start with the given function in this form:

[tex]f(x)=ax^2+bx+c\\t^2+4t-14[/tex]

We need an additional number, d, and we'll calculate it like this:

[tex]d=(\frac{b}{2a})^2 \\\\d=(\frac{4}{2(1)} )^2\\d=2^2\\d=4[/tex]

d needs to be added and subtracted at the same time. That way we do not change the value of the expression:

[tex]ax^2+bx+d-d+c\\\\t^2+4t+4-4-14[/tex]

And you can separate them like this to make it easier to read:

[tex](t^2+4t+4) + (-4-14)\\(t^2+4t+4)-18[/tex]

Finally, we need to factor the trinomial in the parenthesis. Because we've completed the square, it's now a perfect square trinomial.  The factored form is just:

[tex](x+e)^2[/tex]

where e is half of b, or the square root of c. That looks like this in our case, and you can also expand it to make sure.

[tex](t+2)^2\\\\(t+2)(t+2)\\t^2+2t+2t+4\\t^2+4t+4[/tex]

Put that all together and you get the answer:

[tex]f(t)=(t+2)^2-18[/tex]

Part B ===============

Vertex form is this:

[tex]f(x)=a(x-h)^2+k[/tex]

where (h, k) is the vertex and a is the scale factor.

In part A, we converted the given function into vertex form. Looking at that, you can see the vertex is at (-2, -18), and the scale factor is 1. When the scale factor is positive, the parabola faces upwards. When it's negative, the parabola faces downwards.

The scale factor is a positive 1 in this case, and if you picture that in your mind, the vertex is at the very lowest point, or the minimum, of the parabola.

Part C ==============

The axis of symmetry is always on the vertex, and that is because the vertex is the exact point where the parabola changes direction from positive to negative, or negative to positive.

The vertex of this parabola is (-2, -18), so the axis of symmetry is at x = -2.

Sorry if that got too long and hard to follow, I can clarify any part of it if needed.

Draw a square and its diaginals

Answers

Answer:

you cant draw......................

Step-by-step explanation:

Please hurry will mark brainliest if you answer correctly

Answers

40.00 is the correct answer

i need help on this math problem

Answers

The answer is A, it’s the only one that makes sense
It is number a so click on number A

1) f(x) = x² + 2x + 1

2) g(x) = x² + 6x + 5

3) h(x) = x² - 12x + 36

4) g(x) = 9x² + 6x + 2

5) g(x) = x² + 6x + 4

Answers

Answer:

(X+1)(X+1) (X+5)(X+1)

3. (X-6)(X-6)

Solve for x:
Yeah can't come in3x+7x=10x

Answers

Answer:

#happy learning

Step-by-step explanation:

#brainly ph

trevin puts 8 gallons of

Answers

Answer:

24.75 is answer

Step-by-step explanation:

Answer:

That was a good start, but we need the rest of the question.

Step-by-step explanation:

Other Questions
Please help!! I will mark brainliest with full detailed answer!! There are 153 millimeters of juice in 1 carton. A three-pack of juice boxes contains a total if 459 millimeters. A. Estimate, and then find the actual total amount of juice in 1 carton and in a three-pack of juices boxes. 3. Aspect Ratios (Tires)If you have changed the tires on your car, the original diameter is 21 inches. to a new diameter of 25.2 inches,how fast are you actually going if your speedometer is reading 53 mph?a44.2 mphb. 63.6 mphc. 60.8 mphd. 53 mph I need help asap. With 3,4,5,6. Define power and explain how to determine power. (4 points) What is an objective summary?a bulleted list of all the important ideas and events in a text in an order that reveals the themea bulleted list of all the important ideas and events in a text in an order that reveals the themea shorter version of a text that helps readers decide whether they want to read the texta shorter version of a text that helps readers decide whether they want to read the texta version of a text that leaves out all the descriptive details in order to highlight the most important ideasa version of a text that leaves out all the descriptive details in order to highlight the most important ideasa shortened version of a text that includes the most important events, ideas, and details without a readers opiniona shortened version of a text that includes the most important events, ideas, and details without a readers opinion ____ son buenos amigos? David y Marcos. A. Quin c. Quines b. Cuntos d. Cunto. Who is depicted in the image below? how can students help in thevdevelopment of peace culture Select the correct answer.What conclusion can be drawn from both passages?B.O A Camouflage was a determining factor in the outcome of World War I.The use of camouflage is primarily for maskig military vehicles and personnel.. The use of camouflage in the military first occurred during World War I.OD. Camouflage has been used to mask the appearance of military vehicles. a flexible tape with the different type of measurements essential for taking body measurements Original Price of a truck $17,100.00 Tax:2.4% HELP ASAP 10 POINTS WILL MARK IF CORRECT how to drink waterhow to eat foodgiving brainliest to who ever answers first The looking glass warNeed a paragraph of chapter 1-9 please What does Paul mean when he tells the people at home this is really the only thing: just to sit quietly, like this (168)?Paul means that he believes peace and safety are valuablePaul means that he believes strength, courage, and resourcefulness are valuable.Paul means that he believes stability, kindness, and happiness are valuable.Paul means that he believes family, friends, and country are valuable. June earned $ 75 last week. April earned $25. June earnings were how many times greater than April The denominator of a fraction is four more than the numerator. If both numerator and denominator are decreased by one, the simplified result is 57. Find the original fraction. (Do NOT simplify.) how important is giving a reaction or response to the ideas? Which organelle uses chemicals to break down food and worn out cell parts; Trash/cleaning Crew?A.Endoplasmic ReticulumB. RibosomeC. LysosomeD. Chloroplast