write an equation to find x, then solve for angle measure A. 25 points.

Write An Equation To Find X, Then Solve For Angle Measure A. 25 Points.

Answers

Answer 1

Answer:

Step-by-step explanation:

23). By applying triangle sum theorem in the given triangle,

    (x + 83)° + (x + 48)° + 65° = 180°

    2x + 196 = 180

    2x = -16

    x = -8

    Measure of angle A = x + 48

                                      = -8 + 48

                                      = 40°

     Therefore, Option A is the answer.

24). By triangle sum theorem,

     (3x + 14)° + 90° + (4 + 3x)° = 180°

     6x + 108 = 180

     6x = 72

     x = 12

     Measure of angle A = (4 + 3x)

                                       = 4 + 3(12)

                                       = 40°

     Therefore, Option A is the answer.


Related Questions

what is seven million written as numeral? ​

Answers

Answer: 7,000,000

A million= six zeroes

Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions

Each place value represents an additional zero

Seven million written as a number is 7,000,000 hun

En un océano, hay 3 Islas, cada isla representa un Monomio, si el grado absoluto de cada isla lo representa la cantidad de persona que hay en cada isla, calcular el grado absoluto del océano. En la Primera isla hay 10 personas, en la Segunda isla hay 25 personas y en la Tercera isla hay 8 personas. Nota: Un océano es el polinomio y cada isla es un monomio que está incluido dentro del polinomio.

Answers

Answer:

25

Step-by-step explanation:

Un polinomio de grado n se escribe como:

P(x) = aₙ*x^n + ... + a₁*x + a₀*x^0

Donde n es el exponente de mayor del polinomio, y decimos que el grado absoluto de este polinomio es n.

En este caso sabemos que tenemos 3 islas, y cada una de ellas representa un monomio ( un monomio es cada uno de los términos de un polinomio).

Sabemos que el grado de cada isla depende de la cantidad de gente que vive en la isla.

Tenemos una con 10 personas, entonces tendremos un término con un exponente igual a 10.

Tenemos una isla con 25 personas, entonces tendremos un término con un exponente igual a 25.

Tenemos una isla con 8 personas, entonces tendremos un término con un exponente igual a 8.

Recordando que el grado absoluto del polinomio es igual al mayor exponente del polinomio, acá podemos ver que el mayor exponente es 25.

Entonces el grado absoluto del polinomio será 25.

Find the missing side

Answers

Answer:

x=21

Step-by-step explanation:

they are corresponding to each other

Which theorem is not a valid theorem to show that two triangles are congruent? Which theorem is not a valid theorem to show that two triangles are congruent?

Answers

Answer:

SSA theorem

Step-by-step explanation:

Given

(a) SSA (b) ASA (c) SAS (d) SSS

Required

Which cannot be used to prove congruence of triangles

In proving the congruence of two or more triangles, the following postulates or theorem are valid and can be used:

ASA, SAS, SSS

The SSA theorem/postulate relies on other postulates and as such, it does not prove congruence on its own.

A plane and a line not in that plane which are parallel to the same line, are parallel to each other. Always, sometimes, or never

Answers

Answer:

a line and a plan are considered parallel if they have no points in common if two parallel planes are cut by a third plane then the lines of intersection are parallel

Hal earns a B on 75% of his tests. He divides a spinner into 12 equal spaces to model the grades he earns on his tests, with nine of the spaces
representing a B. Which statement about his model is true?
OA. His model cannot be improved.
ОВ.
OC.
His model can be improved the most by dividing the spinner into 15 equal spaces.
His model can be improved the most by using every third space on the spinner to represent a B.
His model can be improved the most by using eight of the spaces to represent a B.
OD
Reset
Next

Answers

His model can be improved the most by dividing the spinner to 15 equal spaces

The true statement is His model can be improved the most by dividing the spinner into 15 equal spaces.

The correct option is (B)

What is data?

As per the situation, he divided the spinner in 12 parts but it would be to score more if he divide the spinner in 15 parts in his b.

Learn more about data here:

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What are reciprocals?

Answers

Answer:

In mathematics,reciprocal is an expression or function so related to another that their product is unity; the quantity obtained by dividing the number one by a given quantity.

Answer:Rh

Step-by-step explanation:mama

a. 145
b.35
c.135
d.45

Answers

Answer:

a.) 145°

Step-by-step explanation:

First, we need to understand that ∠5 = ∠4 because they are alternate interior angles, therefore, ∠5 = 35°. Then since ∠5 and ∠6 are supplementary angles, we know that ∠5 + ∠6 = 180°, therefore ∠6 = 180° - ∠5 = 180° - 35° = 145°. Now we need to understand that ∠6 and ∠7 are vertical angles, therefore they are equal to each other, so now we know that the right answer is a.) ∠7 = 145°.

Use the elimination method to solve the system of equations. Choose the correct ordered pair

Answers

Answer:

Answer is B

Step-by-step explanation:

[tex]12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ [/tex]

[tex]\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99[/tex]

[tex]y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2[/tex]

POSSIBLE POLYGONS Determine if it is possible for a regular polygon to have an interior angle with the given angle measure. Explain your reasoning a. 165 b. 171 c. 75 d. 40​

Answers

Answer:

yes for all 4.

Step-by-step explanation:

I am not sure I see the whole information.

but if the question truly is simply, whether a polygon can have an internal angle of 165 or 171 or 75 or 40 degrees, then the answer is a resounding yes to all 4.

the simplest polygon is a triangle.

the sum of all angles in a triangle is always 180 degrees.

so, any angle smaller than 180 degrees is a possible internal angle in a triangle (and therefore in polygons in general), because the difference to 180 can then be split into 2 angles (e.g. half/half).

so, if one angle is 165 degrees, then the other two angles have to have 15 degrees together (e.g. 10 and 5, or 7 and 8, or 2 and 13, or ...). they will be narrow angles, but they are still angles.

similar for 171 degrees. now the other two angles have to have only 9 degrees together. like 5 and 4.

for 75 degrees the other two angles must have 180-75 = 105 degrees together. like 20 and 85.

for 40 degrees the other two angles must have 180-40 = 140 degrees together. like 90 and 50.

I WILL GIVE BRAINIEST JUST PLEASE ANSWER THIS IM ON A TEST ;-;

Answers

Answer:

a)Fourth coordinate (- 4 , 1 )

b)Dimension : 6 unit by 3 unit

c)Area = 18 square units

Step-by-step explanation:

Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)

Find D.

Let D = (x , y)

For a rectangle, mid point of diagonal are same.

[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]

Since mid-points are same. Equate :

[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]                

[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]

a)

Therefore, D = ( -4, 1)

Since parallel sides of a rectangle are the same.

We will find the length of the sides using distance formula.

Distance between ( 2, 1 ) and ( 2, 4)

[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]

AB = 3

Distance between ( 2 , 4 ) and ( -4 , 4)

[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]

BC= 6

CD is parallel to AB , therefore CD = 3

AD is parallel to BC,  therefore AD = 6

b) Dimensions : length = 6 , breadth = 3

c) Area = Length x Breadth

           = 6 x 3

           = 18 square units

complete the table
mark brainliest​

Answers

Answer:

[tex]= \frac{333}{500}[/tex]

Step-by-step explanation:

66.6% = [tex]\frac{66.6}{100}= \frac{33.3}{50}= \frac{33.3*10}{50*10}\\\\\\[/tex]

         [tex]= \frac{333}{500}[/tex]

What is the DMS measure of an angle that is 3.7 radians?
A. 11° 37' 26"
B. 0° 3' 52.5"
c. 211° 59' 39.6"
D. 3° 42' 0"

Answers

C. Because it equals to the degrees to the 3.7 radians

Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.
What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

12.0 units
12.4 units
15.0 units
15.4 units

Answers

Answer:

15.4 units

Step-by-step explanation:

sqrt(5²+4²) = sqrt(41) = 6.4

the other two legs are 5 and 4

so perimeter

= 4+5+6.4 = 15.4 units

At Factory Y, a worker's wages for a 40-hour week is $200. She is paid 10% of her regular weekly wages for every hour that she works overtime. At the end of a certain week she received $380. Calculate the number of hours of overtime that she worked.

Answers

Answer:

She worked 18 hours of overtime.

Step-by-step explanation:

If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.

If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.

3
JK, KL, and IJ are all tangent to o (not drawn to scale). JA = 8, AL = 11, and
CK = 10. Find the perimeter of AJKL.

Answers

Answer:

[tex]P = 58[/tex]

Step-by-step explanation:

The image if the circle and triangle can be found online

Given

[tex]JA = 8[/tex]

[tex]AL = 8[/tex]

[tex]CK = 10[/tex]

Required

The perimeter of JKL

Since the mid-points of the tangents are A, B and C respectively.

[tex]JK = JB + BK[/tex]

Where

[tex]JB = JA = 8[/tex]

[tex]BK = CK = 10[/tex]

So:

[tex]JK =8+10 =18[/tex]

[tex]JL = JA + AL[/tex]

[tex]JL = 8+11 = 19[/tex]

[tex]KL = CL + CK[/tex]

Where

[tex]CL =AL = 11[/tex]

So:

[tex]KL = 11+10 = 21[/tex]

So, the perimeter (P) is:

[tex]P = JK+ KL +JL[/tex]

[tex]P = 18 + 19 + 21[/tex]

[tex]P = 58[/tex]

Jeremy uses 2 feet 3 inches of board for each birdhouse he builds. How many inches of board does he need to make 6 birdhouses?

Answers

Answer:

134inches

Step-by-step explanation:

Convert 2feet to inches

1foot= 12 inches

2feet= 12x2inches

=24inches

24inches is to 1 birdhouse

24inches x 6 equals six birdhouses

134inches

Answer:

He will need 162 inches

Step-by-step explanation:

6×2ft is 12 feet. Convert ft into inches for every 1 foot you have 12 inches. A total of 144in. Now multiply 6×3in which equals 18in. Add 144+18=162

Which of the following represents the factorization of the polynomial below? ​

Answers

Answer:

option C

Step-by-step explanation:

2x^2 + 5x + 3

using middle term break method

we need two numbers which gives 6 when multiplied and 5 when added

2x^2 + (3 + 2)x + 3

2x^2 + 3x + 2x + 3

x(2x + 3) + 1(2x + 3)

(2x + 3)(x + 1)

Help for both??? If you can

Answers

Answer:

first : 1808.64 [tex]in^{2}[/tex]

second : 48

Step-by-step explanation:

Area = [tex]\pi[/tex][tex]r^{2}[/tex]

A = [tex]24^{2}[/tex] x 3.14

second:

A = [tex]4^{2}[/tex] x 3

A= 16 x 3

A = 48

2x+3y=2
y = 1/2x + 3
What is the solution to the system of equations?

(-2,2)
(0,0.67
(0,3)
(1,0​

Answers

Answer:(-2,2)

Step-by-step explanation:

2x+3(1/2x+3)=2

⇒7/2x=-7

÷7⇒1/2x=-1

×2⇒x=-2

x=-2 into the equation

⇒2×(-2)+3y=2

⇒3y=6

⇒y=2

Answer:

(-2 , 2)

Step-by-step explanation:

2x + 3y = 2 ---------------(I)

y = (1/2)x + 3  --------------(II)

Substitute y value in equation (I)

[tex]2x + 3*[ \frac{1}{2}x + 3] = 2\\\\2x + 3*\frac{1}{2}x+3*3=2\\\\2x+ \frac{3}{2}x+9=2\\\\2x + \frac{3}{2}x = 2-9\\\\2x + \frac{3}{2}x = -7 \\[/tex]

Multiply the whole equation by 2

[tex]2*2x + 2* \frac{3}{2}x = -7 *2\\\\4x + 3x = -14[/tex]

        7x = -14

           x = -14/7

x = -2

Plugin x = -2 in equation (I)

2*(-2) + 3y= 2

-4 + 3y = 2

Add 4 to both sides

3y = 2+4

3y = 6

Divide both sides by 3

y = 6/3

y = 2

which is the value of x in the equation-3/4 = x/24 A. -32 B. -18 C. 18 D. 32​

Answers

Answer:

-18 =x

Step-by-step explanation:

-3/4 = x/24

Using cross products

-3*24 = 4*x

-72 = 4x

Divide each side by 4

-72/4 = 4x/4

-18 =x

Answer:

B. -18

Step-by-step explanation:

-3/4 = x / 24

solve the proportion using cross multiplication

-3 × 24 = 4 × x-72 = 4x

swap the side

4x = -72

divide both side by 4

4x / 4 = -72/4x = - 18

If a line has a slope of 3, what is the slope of a line perpendicular to it?

Answers

Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

Here m = 3 , then

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{3}[/tex]

Which list of numbers can be described by the following rule?



A. 33,49,67


B.65,49,33

C.33,49,65

D.65,48,33

Answers

Answer: Choice C

Explanation:

first term = 33

second term = first term + 16 = 33+16 = 49

third term = second term + 16 = 49+16 = 65

We're adding 16 to each term to get the next term.

Answer:

c is correct

mark as brainiest please

SECTION:B NUMBER PATTERNS

johnny's tile shop has a newly disigned tile. It can be odered in different sizes. size 1 has one white tile in the middle and is surrounded by eight black tiles ; size 2 has four white tiles in the middle and surrounded by twelve black tiles.
draw sizes 3,4 and 5 ​

Answers

Answer:

Step-by-step explanation:

Well I am not sure whether to draw it because there are no options of drawing

The requried Tiles of sizes 3, 4, and 5 have been shown in the image.

What is the matrix?

A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.

Here,
To draw the designs for sizes 3, 4, and 5 of Johnny's newly designed tile, we need to follow the same pattern as sizes 1 and 2.

Size 3 has a 7x7 grid of tiles with nine white tiles in the center and 16 black tiles around them,
Size 4 has a 9x9 grid of tiles with 16 white tiles in the center and 20 black tiles around them.
Size 5 has an 11x11 grid of tiles with 25 white tiles in the center and 28 black tiles around them.

Thus, the requried Tiles of sizes 3, 4, and 5 have been shown in the image.

Learn more about matrix here:
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Find the value of x that makes ABCD a parallelogram?
answers
a.) x=30
b.) x=20
c.) x=40
d.) x=60

Answers

Answer:

D) x=60

The choose

Step-by-step explanation:

360 =70+70+50+50+2x

360=240+2x

360-240=2x

120=2x

x=120/2

x=60

The answer would be D.) x=60

Enter the equation of the line in slope-intercept form.
Slope is -5, and (7,4) is on the line.
The equation of the line is

Answers

Answer:

[tex]y=-5x+39[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Plug in the slope (m)

[tex]y=mx+b[/tex]

Plug in the slope -5

[tex]y=-5x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-5x+b[/tex]

Plug in the given point (7,4) and solve for b

[tex]4=-5(7)+b\\4=-35+b[/tex]

Add 35 to both sides to isolate b

[tex]4+35=-35+b+35\\39=b[/tex]

Therefore, the y-intercept is 39. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+39[/tex]

I hope this helps!

What must be multiplied by 0.0426 to get 4260 ??​

Answers

Answer:

[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]

0.0426 × y = 4260

y = 4260÷0.0426

y=100000

measures of variability,i have realized that​

Answers

Answer:

Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.

The inequality – x2 - 6 <0 has

Answers

Answer:

X es igual a 3

Step-by-step explanation:

x2 - 6 = 0

(3)2 - 6 = 0


What percent of all students are middle schools

Answers

125/300 x 100 = 41.6666% (or round up to 42%)

42% of all students are in middle school.
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