1. In the diagram below, if m angle1=79^ , find the measure of each numbered angle.

Answer:

Got my points back

Step-by-step explanation:

Answer:

The term 10E represents the total number of points earned from 10 extended-response questions.

Step-by-step explanation:

Have a good day :p

Answer:

x=38 degrees, y=41 degrees, z=97 degrees

Step-by-step explanation:

The Triangle Angle-Sum Theorem states that all interior angles of a triangle will add up to 180 degrees.

Look at the triangle to the right. The missing value of x will complete the theorem, therefore the equation 59+83+x=180 will find x. x=38 when we solve the equation.

The triangle on the left has two missing variables, but since angles z and 83 degrees are supplementary to each other, we can make another equation z+83=180 since supplementary angles add up to 180 degrees. z=97 when we solve the equation.

Since we have z, we can now find the value of y given the Triangle Angle-Sum Theorem. The equation would be 42+97+y=180 so we can solve for y. y=41 when we solve the equation.

Answer:

x=38

z=97

y=41

Step-by-step explanation:

Answer:

[tex]A=28.1\ cm^2[/tex]

Step-by-step explanation:

The area of a circular sector with a central angle θ and radius r is given by:

[tex]\displaystyle A=\frac{1}{2}r^2 \theta[/tex]

Note: The angle must be in radians.

We need to find both the radius and the angle in radians.

Diameter = 9.6 cm

Radius r=Diameter/2=4.8 cm

Angle in radians= Angle in degrees*π / 180

θ = 140*π / 180 = 2.4435 rad

Now we calculate the area:

[tex]\displaystyle A=\frac{1}{2}(4.8)^2 2.4435[/tex]

[tex]\boxed{A=28.1\ cm^2}[/tex]

Answer:

Step-by-step explanation:

Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

[tex]2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29[/tex]

So,

length = x

width = y = [tex]29-x[/tex]

The length is reduced by 7 feet and the width becomes half.

New length = [tex]x-7[/tex]

New width = [tex]\frac{1}{2}(29-x)[/tex]

New perimeter = 34 foot

[tex]2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19[/tex]

So,

New length [tex]=x-7=19-7=12\,\,foot[/tex]

New width = [tex]\frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot[/tex]

Area of the new smaller garden = New length × New Width

= 12 × 5

= 60 square foot

Answer:

61.92

Step-by-step explanation:

i just used a calculator

I believe the answer is:

690,000

Answer:

y - 2 = 2(x + 5)

Step-by-step explanation:

Use the point slope form: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the point and slope:

y - y1 = m(x - x1)

y - 2 = 2(x + 5) is the equation

Answer:

Step-by-step explanation:

g(x) = (x + 4)4(x − 9)

At x = −4, the graph touches the x–axis.

At x = 9, the graph crosses the x–axis

Answer:

B and A

Step-by-step explanation:

No, the ratio of 15:12 is not equivalent to 5:3 and 10:6 because

- 15:12 = 5:4

- 5:3

- 10:6 = 5:3

Given,

5:3 and 10:6 are equivalent ratios.

We need to see whether these ratios are equivalent to 15:12.

The ratios which are equal are called proportional ratios.

Example:

1:2 = 5:10 = 6:12 = 7:14

5/10 = 1/2

6/12 = 1/2

7/14 = 1/2

We have,

5:3 and 10:6

- 5/3

- 10/6 = 5/3

We have,

15:12

= 15/12

= 3x5/3x4

= 5/4

We see that 5:3 and 10:6 are not equivalent to 15:!2.

Thus,

No, the ratio of 15:12 is not equivalent to 5:3 and 10:6 because

- 15:12 = 5:4

- 5:3

- 10:6 = 5:3

Learn more about equivalent ratios here:

https://brainly.com/question/13513438

#SPJ2

Answer: The 1st one is 1 soultion the 2nd one is 1 soultion the 3rd one is multiple soultion and the last one is multiple solution

Step-by-step explanation: hope I am right?

1=one 2=multiple 3=one 4=multiple

Given sequence:

-2,-7,-12 ,..

Unknown;

Find the sum of the first 20 terms = ?

Solution:

  The sequence is -2,-7,-12 ,..

To find he sum of n-terms of a sequence, we use the expression below;

     Sₙ  = [tex]\frac{n}{2} (2a + (n-1)d)[/tex]

where n is the number of terms = 20

           a is the first term = -2

            d is the common difference= -7 - (-)2 = -5

Now input the parameters and solve;

       Sₙ  = [tex]\frac{20}{2} (2(-2) + (20 - 1) x -5)[/tex]

      Sₙ = 10(-4 + -5(19))  = 10(-99)  = -990

The sum of the first 20 terms of the sequence is -990

Answer:

y=1/4x-3/4

Step-by-step explanation:

You just multiply 4/3 by -3

Answer:

x= -5

Step-by-step explanation:

First I took -2x out of -2x and -3x. Then I minused 2 from 2 and minused 2 from -3, which left me with -5=1x. I divided it out and got -5. Hope this helped!

Answer:

1.425

Step-by-step explanation:

if u round 2/3 up to .7, but if u don't it is 1.4

Answer:

1  5/12

Step-by-step explanation:

Hope this helps

Answer:

s, t, a, t, i, s, t, i, c, s

Step-by-step explanation:

Given:

Total number of jewels = 1000

Emeralds = 600

Sapphires = 300

Rubies = 100 rubies

100 jewels she took randomly.

To find:

The probability that all 100 jewels she took were sapphires.

Solution:

Number of selected jewels = 100

Total number of jewels = 1000

We have to select 100 out of 1000.

So, the total number of outcomes [tex]=^{1000}C_{100}[/tex]

Number of sapphires = 300

We have to select 100 out of 300 sapphires .

So, the favorable outcomes [tex]=^{300}C_{100}[/tex]

Now,

[tex]\text{Required probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Required probability}=\dfrac{^{300}C_{100}}{^{1000}C_{100}}[/tex]

Therefore, the required probability is [tex]\dfrac{^{300}C_{100}}{^{1000}C_{100}}[/tex].

Answer:

x ≤ 19

Step-by-step explanation:

The instructions here are probably "solve for x."  Please include them.

4 - x + 6^2 ≥  21

becomes 4 - x + 36 ≥  21

Now combine like terms.  4 and 36 combine to 40:  40 - x ≥ 21, and so:

19 - x ≥ 0

Adding x to both sies results in

x ≤ 19

Please, include the instructions when you post a question.  Thanks.

Answer:

-(x-y)

Step-by-step explanation:

-(x-2y) - y

-x+2y -y

-x+y

-(x-y)

Answer:

too blurry pls send new pic

Step-by-step explanation:

Answer:

8.032

Step-by-step explanation:

Answer: I think 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

              = 180° - (45 + 103)°

              = 180° - 148°

              = 32°

f). m∠Y = m∠C = 103°

Congruent triangles have equal corresponding sides and angles

The given parameter is:

[tex]\triangle BCM \cong \triangle ZYR[/tex]

This means that triangle BCM and ZYR are congruent.

So, we have the following congruent sides

[tex]YZ =CB[/tex]

[tex]BM =ZR[/tex]

[tex]CM =YR[/tex]

So, the measure of the side lengths are:

[tex]YZ =8[/tex]

[tex]BM =15[/tex]

[tex]CM = 11[/tex]

Also, we have the following congruent angles

[tex]\angle B = \angle Z[/tex]

[tex]\angle C = \angle Y[/tex]

[tex]\angle M = \angle R[/tex]

So, the measure of the angles are

[tex]\angle B =45[/tex]

[tex]\angle Y =103[/tex]

The measure of angle M is calculated using:

[tex]\angle M + \angle C + \angle B = 180[/tex]

So, we have:

[tex]\angle M + 103 + 45= 180[/tex]

[tex]\angle M + 148= 180[/tex]

Subtract 148 from both sides

[tex]\angle M = 32[/tex]

Read more about congruent triangles at:

https://brainly.com/question/11329400

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Mathematics

the points or conditions for the slope to be 1/4 are as

1.) (-2,2) ,(2.3)

2.) (-4,4),(4,6)

Answer:

FGHIJ : Dilate ABCDE centered at the origin with a scale factor of 0.5, and then rotate the image 180° clockwise about the origin. Finally, translate the image 3 units up and 7 units to the right.

KLMNP : Dilate ABCDE about point C with a scale factor of 2, and then translate the image 6 units to the right and 1 unit up.

QRSTU : No sequence will map ABCDE to QRSTU.

VWXYZ : Reflect ABCDE across y = 0. Next, dilate the image by a scale factor of 0.75 with the center of dilation at the origin. Finally, translate the image 1 unit down and 1 unit to the right.

I hope this helps! I had this question as well.

Answer:

FGHIJ : Dilate ABCDE centered at the origin with a scale factor of 0.5, and then rotate the image 180° clockwise about the origin. Finally, translate the image 3 units up and 7 units to the right.

KLMNP : Dilate ABCDE about point C with a scale factor of 2, and then translate the image 6 units to the right and 1 unit up.

QRSTU : No sequence will map ABCDE to QRSTU.

VWXYZ : Reflect ABCDE across y = 0. Next, dilate the image by a scale factor of 0.75 with the center of dilation at the origin. Finally, translate the image 1 unit down and 1 unit to the right.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

because iti s