find the value of each of the lettered angles in the diagram below​

Find The Value Of Each Of The Lettered Angles In The Diagram Below

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.

The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.

Givens

<1 = 50 degrees

<2 = 50 degrees

Exterior angle = 15x + 25   Substitute the givens into the equation

Equation

<1 + <2 = 15x + 25

Solution

50 + 50  = 15x + 25                       Combine the left side

100 = 15x + 25                               Subtract 25 from both sides

100 - 25 = 15x + 25 - 25                Combine

75 = 15x                                          Divide both sides by 15

75/15 = 15x/15                      

5 = x

Answer

<1 = 50 degrees

<2 = 50 degrees

15x + 25 = 75 + 25 = 100


Related Questions

This double bar graph shows the results of a survey asking girls and boys to choose their favorite subject.

Based on the information represented in the graph, which statement is true?


Exactly 50% of girls surveyed chose language arts or social studies.

The total number of students that chose language arts is greater than the total number of students that chose math.

Less than 50% of the boys surveyed chose math or science.

The total number of students that chose social studies is greater than the total number of students that chose science.

Answers

lesss than 50$ so add the numbers on the graph

What are the coefficients in the polynomial 4x2 + 3x-3?




•4, -3, -3
•4, 3
•4, 3, 3
•-4, -3​

Answers

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

        What are the coefficients in the polynomial 4x²+3x-3?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

Coefficient:-  A number before a variable

Coefficients in this polynomial:-

4 (the number before x²) and 3 (the number before x)

So we conclude that the right option is:-

[tex]\bigcirc\!\!\!\!\!\large\checkmark[/tex] 4, 3 (Option B)

Good luck.

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

slope of 4/5, a width of 30…what is the height..?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

Slope of the graph can be expressed as :

[tex]\qquad \sf  \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{4}{5} \times 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = {4}{} \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 24 \: units[/tex]

So, the value of x is 24 units

HELP!! Which kind of triangle is shown?

Answers

Answer:
Acute Equilateral
Step-by-step explanation:
The sides are equal length, and the angles are all below 90*.

For the function: f(x) = 18 − x − x2
Find f(9)

Answers

f(9) = 18-9-(9)^2

=> f(9) = 18-91-81

=> f(9) = -153

Allison wants to ride her bicycle 60 miles this week. She has already ridden 12 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?

Answers

Answer:

8 miles a day

Step-by-step explanation:

First you have to subtract the amount of miles she had already gone.

60 - 12 = 48

Next you have to divide by the remaining amount of days (6 days).

48/6 = 8

Which number is greatest?


CLEAR SUBMIT

290,095


209,509


290,905


209,950

Answers

290,905 is the greatest the third option

Answer:

290,905

Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.

What is the next step in solving this augmented matrix using the gauss-jordan elimination method? a. convert the matrix to the linear system form. b. divide r2 by 2 and r3 by 3. c. the matrix is solved. d. this is an inconsistent matrix that cannot be solved. e. divide r1 by 2 and r3 by 3.

Answers

Based on the Gauss-Jordan Elimination method, and the matrix given, the next step would be to b. divide R2 by 2 and R3 by 3.

What is the next step in the Gauss-Jordan Elimination method?

The first row has already gone as low as it can so rows two and three need to be worked on.

The best way to do this is to divide Row 2 by 2 and Row 3 by 3. This then leads to the augmented matrix becoming:

[1    0     0   I  5]

[0    1     0   I  4]

[0    0    1    I  3]

In conclusion, option B is correct.

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A certificate of deposit earns 0.75% annual interest every three months. The interest is compounded. What is the value of a $32,000 investment after 5 years?

A. $33,221.62
B. $37,157.89
C. $43,099.36
D. $57,795.56​

Answers

Answer:

Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:

A=P(1+r/100)^nt

where:

A=amount

P=principle

r=rate

t=time

n=number of terms

thus:

from the infomation

$25000, r=0.75%, t=8 years, n=12/3=4

thus

A=25000(1+0.0075/100)^(4*8)

A=25000(1.0075)^32

A=$3175.28

Step-by-step explanation:

In the figure below, the segments WX and W Y are tangent to the circle centered at 0. Given that OX= 4 and OW = 8.5, find WY.

Answers

Answer:

7.5

Step-by-step explanation:

because OY is a radius like OX they will have equal length of 4 so OY = 4

Because of the circle theorem that says that tangents meet the the radius of a circle at 90 degrees, angle OYW is 90 degrees so the triangle OYW is a right angle triangle and we can use pythagoras theorem to get WY as:

[tex]8.5^{2} - 4^{2} = WY^{2} \\\sqrt{WY^{2}}=WY=7.5[/tex]

I need help quickly, I'm preparing for a test! Help is appreciated!
Solve each triangle. Round your answers to the nearest tenth. (#4)

Answers

The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.

Then the other two angles and the side CA will be

The side CA is given by the cosine rule. Then we have

[tex]\rm CA^2 = AB ^2+ BC^2 - 2 \times AB \times BC \cos B\\\\\\CA^2 = 9^2 + 27^2 - 2 \times 9 \times 27 \cos 97^o\\\\\\CA^2 = 810 + 59.23\\\\\\CA ^2 = 869.23\\\\\\CA \ = 29.48 \ in[/tex]

Then angle A will be given by the sine rule. Then we have

[tex]\dfrac{27}{\sin A} = \dfrac{29.48}{\sin 97^0}\\\\\\\sin A = \dfrac{27 \sin 97^0}{29.48}\\\\\\\sin A = 0.9090\\\\\\A \ \ \ \ = 65.37^0[/tex]

Then the angle C will be

     ∠A + ∠B + ∠C = 180°

65.37° + 97° + ∠C = 180°

                       ∠C = 17.63°

More about the trigonometry link is given below.

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In what ways could creating similar shapes by using sequences of transformations be helpful in the real world? (e.g., a three-dimensional setting?)​

Answers

Virtual reality" is the appropriate answer.

What is virtual reality?

The utilization of technological advances gives the impression of a 3D interactive environment wherein the things that have such a perception of space embodiment or involvement, are considered as Virtual reality.

Virtual reality implementations often include:

Entertainment,Medical andEducational activities.

To know more about virtual reality follow

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Need help please answer asap

Answers

#13

x²+3x-2-(2x²-x+6)x²+3x-2-2x²+x-6-x²+4x-8

Option D

#14

.(a²+b²)²(a²)²+(b²)²+2a²b²a⁴+2a²b²+b⁴

Answer:

    13. (4) -x² + 4x - 8

    14. (3) a⁴ + 2a²b² + b⁴

Step-by-step explanation:

Question 13

x² + 3x - 2 - [2x² - x + 6]x² - 2x² + 3x + x - 2 - 6(4) -x² + 4x - 8

Question 14

(a² + b²)²(a²)² + 2(a²)(b²) + (b²)²(3) a⁴ + 2a²b² + b⁴

The fifth term of a geometric sequence is 781.25. Each term of the sequence is 1/5 of the value of the following term. Which recursive formula represents the situation?

Answer choices are in the image attached.

Answers

The recursive formula of the geometric sequence is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25

How to determine the recursive formula?

The given parameters are:

Fifth term = 781.25

Term = 1/5 * following term

The second parameter above means that:

[tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex]

Multiply both sides by 5

[tex]a_{n+1} = 5a_n[/tex]

Remove 1 from the terms

[tex]a_{n} = 5a_{n-1}[/tex]

Using the formula [tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex], we have the first term to be:

[tex]a_1 = \frac 15 * a_2[/tex]

[tex]a_2 = \frac 15 * a_3[/tex]

[tex]a_3 = \frac 15 * a_4[/tex]

[tex]a_4 = \frac 15 * a_5 = \frac 15 * 781.25 = 156.25[/tex]

So, we have:

[tex]a_3 = \frac 15 * 156.25 = 31.25[/tex]

[tex]a_2 = \frac 15 * 31.25 = 6.25[/tex]

[tex]a_1 = \frac 15 * 6.25 = 1.25[/tex]

Hence, the recursive formula is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25

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Answer:

A

Step-by-step explanation:

To avoid a large, shallow reef, a ship set a course from point A and traveled 22 miles east to point B. The ship then turned and traveled 33 miles south to point C. If the ship could have traveled in a straight line from point A to point C, about how many miles could it have saved?
A.
15 miles
B.
11 miles
C.
55 miles
D.
40 miles

Answers

Answer: A. 15 miles.

Step-by-step explanation: Did the math 22, 33 and got A. 15 miles.

Which of the following is a line segment in the drawing that connects two parallel lines?

DA
BE
AE
AB

Answers

Answer:

BE

Step-by-step explanation:

Answer:
BE
Explanation (maybe?):
The line segment passed through the parallel line so it connected them.

Answer has exponent please help

Answers

Answer:

the exponent is four

2x2x2x2 is 16

A manufacturer is designing a square-based shipment box to transport its product from the manufacturing plant directly to customers. The volume of the box must be 100 cubic inches. Explain how the manufacturer can choose dimensions such that the surface area of the box is minimized (minimizing the quantity of materials needed to construct the box). Provide a mathematical justification, and be sure to include the surface-area-minimizing dimensions. Round all values to the nearest tenth.

Will mark brainliest please help!!

Answers

If the side be s

Volume is 100in³

So

side³=100s³=100s=³√100s=√10ins=3.14≈3.1in

7) YOU TRY: What is the product in simplest form? State any
restrictions on the variable.
x²-2x-3
x+11x+24
x-3
x +6x-16

Answers

The value of the product expression (x + 1)(x - 3) is x² - 2x - 3

How to determine the product?

From the complete question, the product expression is given as:

(x + 1)(x - 3)

Expand

x(x - 3) + 1(x - 3)

Further, expand

x² - 3x + x - 3

Evaluate the like terms

x² - 2x - 3

Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3

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4. Circle O is shown below. The diagram is not drawn to scale.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Concept : As we know, Angle made by an arc on the centre of the circle is double the angle made by the same arc on the part of circle.

Therefore, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\angle O= 2 × \angle R[/tex]

[tex]\qquad \sf  \dashrightarrow \:\measuredangle O= 2 × 28 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:\measuredangle O= 56 \degree[/tex]

I hope that helps ~

a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the box

Answers

Answer:

1326 cm²

Step-by-step explanation:

1) Identify the equation of the surface area of a rectangular prism

       [tex]A = 2(wl + wh + hl)[/tex]

2) Input the corresponding values [tex]l=15 cm[/tex]; [tex]w=22 cm[/tex]; and [tex]h=9 cm[/tex] into the equation, and solve for the area

       [tex]A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}[/tex]

3) ∴ [tex]A=1326cm^2[/tex]

Awnser The Question For 5pts!

Answers

Answer:

step 1

Step-by-step explanation:

in step one,  it should have been 2 x 7 x 1000

 

Answer:

step 1

Step-by-step explanation:

In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700

I need help!! I don’t know which one it is.
Which point is closest to point A?
Point__

Answers

Answer:

Point D

Step-by-step explanation:

The length from Point A to Point D is 6 units, while the length from point A to Point C is 7 units, and the length from Point A to Point B is also 7 units. Because to reach Point C, you have to make one turn, adding one more unit. Same with Point B.

Answer:   C

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

Explanation:

Point A is at (-3,3) while point B is at (2,5)

Let's use the distance formula to find the distance between these points.

[tex]A = (x_1,y_1) = (-3,3) \text{ and } B = (x_2, y_2) = (2,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-2)^2 + (3-5)^2}\\\\d = \sqrt{(-5)^2 + (-2)^2}\\\\d = \sqrt{25 + 4}\\\\d = \sqrt{29}\\\\d \approx 5.3852\\\\[/tex]

The distance from A to B is approximately 5.3852 units.

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

Point C is at (-2,-2)

Let's find the distance from A to C

[tex]A = (x_1,y_1) = (-3,3) \text{ and } C = (x_2, y_2) = (-2,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-2))^2 + (3-(-2))^2}\\\\d = \sqrt{(-3+2)^2 + (3+2)^2}\\\\d = \sqrt{(-1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.099\\\\[/tex]

The distance from A to C is approximately 5.099 units.

So far, point C is the closest to point A.

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

Point D is at (3,3)

We could use the distance formula to find the distance from A to D, but we can simply subtract the x coordinates and make the result positive if needed. This works because points A and D have the same y coordinate.

D - A = 3 - (-3) = 3+3 = 6

The distance from A to D is 6 units.

Or you could count out the horizontal spaces between the points and you should count 6 spaces.

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

Summary:

Distance from A to B = 5.3852 (approximate)Distance from A to C = 5.099 (approximate)Distance from A to D = 6 (exact)

The smallest distance value is the 5.099, which is from A to C.

Therefore, point C is closest to point A.

at cooley middle school there are 6 teachers for every 102 students. there are 825 students enrolled at the school. How many teachers are needed?

Answers

Answer:

49 teachers

Step-by-step explanation:

By proportion, the number of teachers needed is found as follows:

6/102 = x/825 where x is the required number of teachers.

102x = 6*825

x = (6*825)/102

=  48.5

Answer:

Se necesitan 49 profesares

Step-by-step explanation:

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

The s represents the y-intercept of the graph.

The 100t in the equation means the initial velocity of the rockey is 100

Step-by-step explanation:

According to the text and graph.

The s reprecets the yintexept of the graph

h(t)=5+100t-16t²

h(t)=100-32t

k(0)=100

in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100

read the image for the rest

PLS HELP ITS MATH I DONT UNDERSTAND

Answers

Answer:

that would be 12

Step-by-step explanation:


62 - 50 = 12

X = 12

Answer:

that is 12

Step-by-step explanation:

u have to subtract 62 - 50 to get 12

That way

X = 12

Write the equation of the line in slope-intercept form given

• Point (5,6)
• Point (3,-2)

Answers

Step-by-step explanation:

(-2-6)/(3-5)= -8/-2= 4

y+2= 4(x-3)

y+2= 4x-12

y=4x-14

Answer:

y = 4x - 14 or y = 2(x - 7)

Step-by-step explanation:

Finding the slope

m = -2 - 6 / 3 - 5m = -8/-2m = 4

Finding the y-intercept

Take x-coordinate to be 0 and take one of the 2 points mentioned and put in the point-slope equation formy - 6 = 4(0 - 5)y - 6 = 4(-5)y = -14

Making the equation using slope-intercept form

y = mx + cy = 4x - 14 or y = 2(x - 7)

The functions f(x)=−34x+214 and g(x)= (12)x+1 is shown in the graph.

What are the solutions to −34x+214= (12)x+1?

Select each correct answer.




−1

0

1

2

3
An exponential curve and a line graphed on a coordinate plane. The horizontal x-axis ranges from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 4 to 4 in increments of 1. The curve begins in the second quadrant. The curve decreases through begin ordered pair 0 comma 2 end ordered pair. The curve passes through begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair and exits the first quadrant. The line passes through begin ordered pair 0 comma 2.25 end ordered pair and begin ordered pair 3 comma 0 end ordered pair. The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair.

Answers

Answer:

  x = -1 and x = +1

Step-by-step explanation:

The solution to f(x) = g(x) is found where the graphs intersect.

__

Your problem statement tells you the solution:

  "The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair."

We interpret this statement to mean the points of intersection are ...

  (-1, 3) and (1, 1.5)

The x-values that make f(x) = g(x) are x=-1 and x=1.

A table of values, rounded to the nearest hundredth, for the function y = is given for
0≤x≤8.
What is the average rate of change of the function over the interval [2, 7] to the nearest
hundredth?

Answers

Answer:

A) [tex]0.13[/tex]

Step-by-step explanation:

If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]

Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].

Jose constructed Triangle DCE, where m m • Are the two triangles similar to one another?

Answers

Answer:

please write question with full info

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