1. Which number is greater: 35% or 3.5?​

Answer:

The measurements of the two angles are 67.5° and 112.5°

Step-by-step explanation:

We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.

3x + 5x = 180

Combine like terms.

8x = 180

Divide 180 by 8.

x = 22.5

Now, we plug in x to 3 and 5.

3 * 22.5 = 67.5

5 * 22.5 = 112.5

Just to make sure our work is correct, let's add these numbers together.

67.5 + 112.5 = 180

The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.

When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.

The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,

[tex]\dfrac{3}{5}=x[/tex]

As, these angles are supplementary to each other. Thus,

[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]

Thus, the measurement of the angle is,

[tex]3x=3\times22.5\\3x=67.5[/tex]

The measurement of the supplement of the angle is,

[tex]5x=5\times22.5\\5x=112.5^o[/tex]

Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.

Learn more about the supplementary angle here;

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Using translation concepts, it is found that the correct statement is given by:

B) Translation creates an image congruent to the given image.

D) Translation creates an image similar to the given image.

A translation is represented by a change in the image position, keeping the angles and the length's of the sides.

The translated image is congruent and similar to the original image, hence options B and D are correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

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Answer:

D) Translation creates an image similar to the given image.

Step-by-step explanation:

Answer:

[tex]x=12\:mm[/tex]

Step-by-step explanation:

[tex]A=bh[/tex]

[tex]b \times h=120[/tex]

[tex]b \times 10=120[/tex]

[tex]b=120 \div 10[/tex]

[tex]b=12[/tex]

Answer:

7 1/2

Step-by-step explanation:

5 ÷ 4/6 = 5 ÷ 2/3 = 5 × 3/2= 15/2= 7 1/2

Answer:

C

Step-by-step explanation:

[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]

so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]

Answer:

Step-by-step explanation:

If two angles are complementary, the sum of measures of  two angles is 90

Using this, you can find the angles

Answer:

Two Angles (A and B) are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. This is:

A + B = 180

so

A=180 - B or

B=180-A

Examples:

• 60° and 30° are complementary angles.

• 5° and 85° are complementary angles.

Answer:

Step-by-step explanation:

complementary angles =90 degrees

Angle 2+ angle 1 = 90 degrees

Angle 1 =35 degrees

Angle 2 = 90-35 = 45 degrees

Angle 2 + angle 3 = 90

Angle 3= 90-45 = 35 degrees ( proved)

I hope this help

Answer:

Given: Angle1 and Angle2 are complements,

Angle2 and Angle3 are complements, and mAngle1 = 35°.

Prove: mAngle3 = 35°

4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.

Complete the missing parts of the paragraph proof.

By the  

✔ congruent complements theorem

, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of  

✔ congruent

angles. Then, using the  

property

✔?

, the measure of angle 3 is  

✔ 35

degrees.

Step-by-step explanation:

Answer:

Hi there!

The correct answer is: B. Convex Octagon

Step-by-step explanation:

The figure first classifies as an octagon because it has 8 sides.

Next you can tell whether or not it is concave or convex by remembering: concave has a "cave" in it.

Concave or Convex

A convex octagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. When any internal angle is greater than 180° it is concave.

The given figure is convex octagon. Therefore, option B is the correct answer.

An octagon can be defined as a polygon with eight sides, eight interior angles, and eight vertices. When all the sides and angles of an octagon are equal in measurement, it is called a regular octagon.

Every polygon is either convex or concave. Convex octagons bulge outwards, whereas concave octagons have indentations (a deep recess). Convex octagons are those in which all the angles point outwards. A regular octagon is an example of a convex octagon. The octagon in which at least one of its angles points inwards is a concave octagon.

In the given figure, there are 8 sides and 8 angles.

Therefore, option B is the correct answer.

Learn more about the octagon here:

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Answer:

ARE is congruent to ARC

By rule SSS

Step-by-step explanation:

Welp that's just the answer.

Hope this helps

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

Answer:

$11

Step-by-step explanation:

Total members = 50 ,    Raised amount = $680

If school gives $130 then all the 50 members will pay the remaining amount.

Remaining amount to be paid by the 50 members = $680 - $130 = $550

50 members = $550

1 member = $550/50

1 member = $ 11 ( Answer)

Answer:

Step-by-step explanation:

2w-4=10

2w=14

w=7

(2y-5)+67+48=180

2y-5+115=180

2y+110=180

2y=70

y=35

2x+17=(2y-5)

2x+17=(2*35-5)

2x+17=(70-5)

2x+17=65

2x=48

x=24

z=48, since angle BIG is congruent to angle RAC

Answer:

-2 + i

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

5

Step-by-step explanation:

(-3+i)/ (7+i)

Multiply by the complex conjugate

(-3+i)/ (7+i)  * (7-i)/(7-i)

Numerator

(-3+i)(7-i) = -21 +7i +3i -i^2 = -21 +10 i - (-1) = -21 +10i +1 =-20+10i

Denominator

(7+i)(7-i) = 49 +7i-7i - i^2 = 49 - (-1) = 49+1=50

Numerator over denominator

-20 + 10i

-----------

50

Divide by 10

-2 + i

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

5

Answer:

Step-by-step explanation:

First, multiply both the numerator and denominator by =  7 - i

The product in the numerator is

The product in the denominator is

Answer:

Question 3. Option B,

Question 4. Option D,

Question 5. Option B

Step-by-step explanation:

Question 3.

If we have a table, we can note that each juice has a proportionality among one another - comparative to the number of servings. If we can figure out this proportionality, we can apply it to the servings of grapefruit juice;

[tex]8 / 16 = 1 / 2,\\4 c / 8c = 1 / 2,\\1 c / 2 c = 1 / 2[/tex]

As we can tell, this " proportion " is 1 to 2. Thus, the amount of grapefruit for 16 servings is 2 * 3 = 6c - Option B

Question 4.

The distance Carlos biked is 24 miles, the total distance he covered is 30 miles;

[tex]24 : 30 = 4 : 5,\\4 to 5,\\4 : 5,\\4 / 5\\\\Conclusion - Option D[/tex]

Question 5.

If 1 / 6 of the fruits are oranges, there must be 6 times of the other fruit. Thus, the solution is Option B

Answer:

Question 3: 6c

Question 4:  4 to 5, 4:5, 4/5

Carlos biked 24 miles and ran 6 miles. The total distance is equal to 30 miles.

The question is: How much of the total distance he biked?

[tex]$\frac{24}{30}=\frac{4}{5} $[/tex]

Question 5: 3 oranges and 15 apples

[tex]$\frac{1}{6} $[/tex]  of the fruits are oranges.

It means that approximately [tex]16.6\%[/tex] of the fruits are oranges. If there were 6 fruits, 1 is orange and 5 are apples, therefore B is wrong.

If you take the options, only the first one is correct.

yo hice el examen y la tuve mal pero me dijo cual era la correcta y es (30,38)

I do the exam and I heve it wrong but the exam put what was the correct answer and it is (30,38)

option B

Equation of Linear Regression line is

y=1.14 x + 3.805

so, (30,38)  is an approximate extrapolation for x = 30 from the line of best fit.

A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.

here, we have,

A line of best fit is drawn for the set of points shown on the graph.

from the given information,

we get,

for, x=30

y=1.14 × 30 +3.805

y=34.20 +3.805

y=38.005

y=38 (approx)

Equation of Linear Regression line is

y=1.14 x + 3.805

so, (30,38)  is an approximate extrapolation for x = 30 from the line of best fit.

So, Ordered pair is , (30,38)

Option B

To learn more on line of regression:

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Answer:

451cm cubed

Step-by-step explanation:

The volume of any prism = Area of cross section times height.

So, we substitute area of Cross section with 41 cm squared and height with 11.

41 x 11 = 451

Answer:

A) Yes. The shared side, image, provides enough information for SAS.

Step-by-step explanation:

Answer & Step-by-step explanation:

First, we must know the formula for finding the circumference of a circle.

Circumference = dπ

(d) represents your diameter. In order to find the diameter, you have to multiply the radius by 2 because the radius is half the size of the diameter.

The radius we are given is 15. So well do 15 multiplied by 2.

15 * 2 = 30

Now, since we have ti put the answer in terms of pi, then you are just going to leave 30 as it is and add the pi symbol.

C = 30π

Answer:

1. f(x) and g(x)

2. g(x)

3. All

4. F(x) and H(x)

Step-by-step explanation:

graph them

Answer:

9.110° and y are the same(alternate angles)

thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°

z(alternate)=70°

10.y=78°. x=(180-78)=102°. z=102°

11.x=83°. y=(180-83)=97°. z=97°

12.y=37°. x=(180-37)=143. z=143°

to confirm the answers all angles in a circle at the centre add up to 360°

Answer: The answer is B: (0,-3)

Step-by-step explanation: The y intercept is the value of y when x is equal to 0, so just set x=0 and find y!

y = 0-3

y=-3

( i hope this helped <3 )

Type of lines ?  Not the best question.

Answer: Perpendicular, first choice

The little 90 degree angle indicator at the intersection marks these lines as meeting at a right angle, which is called perpendicular.

Answer:

20x

Step-by-step explanation:

Step-by-step explanation:

The ? is 4 * 5x which is 20x.

Answer:

257.8°

Step-by-step explanation:

rad × 180/π =  °

4.5*180=810

810/π=257.8

Answer:

11

Step-by-step explanation:

[tex]5=\dfrac{w}{2.2}[/tex]

Multiply both sides by 2.2 to isolate w:

[tex]w=5\cdot 2.2=11[/tex]

Hope this helps!

Answer:

[tex] \boxed{\sf w = 11} [/tex]

Step-by-step explanation:

[tex]\sf Solve \ for \ w: \\ \sf \implies 5 = \frac{w}{2.2} \\ \\ \sf \implies \frac{w}{2.2} = 5 \\ \\ \sf Multiple \: both \ side \ by \ 2.2 : \\ \sf \implies \frac{w}{ \cancel{2.2}} \times \cancel{2.2 }= 5 \times 2.2 \\ \\ \sf \implies w = 5 \times 2.2 \\ \\ \sf 5 \times 2.2 = 11 : \\ \sf \implies w = 11[/tex]

Answer:

3. -5

Step-by-step explanation:

Answer:

15c +14b -22

Step-by-step explanation:

12c+14b+3c-22

Combine like terms

12c+3c+14b-22

15c +14b -22

Answer:

he would fart 17280 times in 2 days

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = [tex]\sqrt{x}[/tex]

When translated by 3 units left,

f(x + 3) = [tex]\sqrt{(x+3)}[/tex]

g(x) = [tex]\sqrt{(x+3)}[/tex]

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = [tex]k\sqrt{(x+3)}[/tex]

Since a point (1, 4) passes lies on the transformed function.

g'(1) = [tex]k\sqrt{(1+3)}[/tex]

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

Option (2) will be the answer.