If m∠7 = 55°, which of the following statements are true? Select all that apply. There are two horizontal parallel lines are cut by a transversal. The top left angle is denoted by 1 when transversal line makes an angle with upper horizontal line. The supplementary angle of angle 1 (which is top right angle) is denoted by 2 and opposite angle is denoted by 4. The remaining angle is denoted by 3. The corresponding angle of 1 is denoted by 5 and the corresponding angle of 2 is denoted by 6. The opposite angle of 5 is denoted by 8 and opposite angle of 6 denoted by 7. A. m∠6 = 55° B. m∠5 = 135° C. m∠1 + m∠4 = 250° D. m∠1 + m∠6 = m∠7 + m∠4

Answers

Answer 1

Answer:

The true statements are;

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

Step-by-step explanation:

The given information are;

m∠7 = 55°

The angles formed by the transversal and the upper horizontal parallel line are (starting from the top left and moving in clockwise direction) = 1, 2, 4, 3

Similarly, the angles formed by the transversal and the lower horizontal parallel line are (starting from the top left and moving in clockwise direction) = 5, 6, 8, 7

Therefore, we have;

m∠7 ≅ m∠6 (Vertically opposite angles are congruent)

∴ m∠6 = m∠7 = 55°

m∠6 = 55° which corresponds with option A.

m∠5 + m∠6 = 180° (The sum of angles on a straight line)

∴ m∠5 = 180° - m∠6 = 180° - 55° = 125°

m∠5 = 125°

m∠1 ≅ m∠5 (Corresponding angles)

∴ m∠1 = m∠5 = 125°

m∠1 ≅ m∠4 (Vertically opposite angles)

∴ m∠1 = m∠4 = 125°

∴ m∠1 + m∠4 = 125° + 125° = 250°

m∠1 + m∠4 = 250° which corresponds with option C.

m∠1 ≅ m∠4 (Vertically opposite angles)

m∠6 ≅ m∠7 (Vertically opposite angles)

∴ m∠1 + m∠6 = m∠7 + m∠4 (Transitive property) which corresponds with option D.

Answer 2

Answer:

a,c and d

Step-by-step explanation:


Related Questions

I think #1 is wrong but i can't figure it out​

Answers

Answer:

the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2

Step-by-step explanation:

the right one is 5x-y^2 divide 2

                           5x6-4^2 divide 2

                            5x6-16 divide 2

                             30-8

                                 22

using the definition of multiplication to explain why a box that is 5 inches high 4 inches wide and 3 inches long has a volume of 5• (3•4) cubic inches explain the parentheses in the expression 5•(3•4)

Answers

Given:

Height of box = 5 inches

Breadth (width) of box = 4 inches

Length of box = 3 inches

Volume of box = 5 • (3 • 4) cubic inches

To find:

The explanation for the parentheses in the expression 5•(3•4)

Solution:

We know that,

Volume of a box is

[tex]Volume = length \times breadth \times height[/tex]

Area of a rectangle is

[tex]Area = length \times width[/tex]

Now,

Volume of box = 5 • (3 • 4) cubic inches

In this expression, (3 • 4) represents the product of length and with of the box. So, it means represents area of the base of box and after multiplying the base area with height we get the volume of the box.

Therefore, the parentheses in the expression 5•(3•4) represents the base area of the box.

Put is in order least to greatest. -13/6, -2.1, -26/13, -9/4

Answers

Answer:

-9/4, -13/6,-2.1,-26/13

Answer:

-26/13, -13/6,  -2.1, -9/4

Step-by-step explanation:

Sorry its from greatest to least

how much babysitting will i have to do if i make 5.50 an hour and the dress i want is 52.25 math Using double number line

Answers

Answer:

9,5 hrs

Step-by-step explanation:


How to estimate 5x179

Answers

Answer:

895

Step-by-step explanation:

if u need to estimate, multiple 5 by 180, and then subtract 5

What is 73+84=. On Saxon math

Answers

Answer:

157

Step-by-step explanation:

You just have to take 73+84, and here is the equation.

73+84=157

OR

First, add the numbers in the ones place.

3+4=7

Now you know that the ones place is 7, we find the tens place.

7+8=15

Since only a 1-digit number can fill up a place, we bring the one over to the hundreds place.

Hence, the answer 157.

when three or more numbers are multipiled the product is the same regardless of the order of the multiplicands ​

Answers

Answer:

Associative property of multiplication.

Step-by-step explanation:

evalute a/b for a= -6 and b=-2

Answers

Answer:

3

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

a/b

a = -6

b = -2

Step 2: Substitute and Evaluate

-6/-2

3

Henry sends his hawk with a message to his uncle. The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip. How far is Henry's uncle from Henry if the speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather?

Answers

Answer:

Distance between Henry and his uncle is 74.25km.

Step-by-step explanation:

Speed of Hawk with wind = 50+5

                                           =55km/hr

Speed of Hawk against wind = 50-5

                                               =45km/hr

we know that ,

        [tex]Distance = speed \times time[/tex]

Let the distance between Henry and uncle is d,

According to the question ,

[tex]\frac{d}{55} + \frac{d}{45} = 3[/tex]

[tex]\frac{9d + 11d}{495} =3[/tex]

[tex]20d = 3\times 495[/tex]

[tex]d =\frac{3\times495}{20}[/tex]

d= 74.25km

Hence , the answer is 74.25km

The relation between speed, time, and distance is used. Then the distance between Henry's uncle from Henry is 74.25 miles.

What is speed?

The distance covered in an hour is called speed. it is a scalar quantity.

What is relative speed?

The concept of relative speed is used when two or more bodies moving with some speed are considered.

Henry sends his hawk with a message to his uncle.

The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip.

We know the relation

[tex]\rm speed = \dfrac{distance }{time}[/tex]

Let the distance between Henry's uncle from Henry be x.

The time of the trip is during the traveling remains constant. That is

[tex]\rm T = T_1 + T_2\\\\T = \dfrac{x}{v_1} + \dfrac{x}{v_2}[/tex]

The speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather. Then we have

[tex]\rm v_1 = 50 - 5 = 45\\\\v_2 = 50 + 5 = 55[/tex]

Then

[tex]\begin{aligned} \rm \dfrac{x}{45} + \dfrac{x}{55} &= 3\\\\\rm \dfrac{9x + 11x }{495} &= 3\\\\\rm 9x + 11x &= 1485\\\\\rm 20x &= 1485\\\\\rm x &= 74.25 \end{aligned}[/tex]

Thus, the distance between Henry's uncle from Henry is 74.25 miles.

More about the speed link is given below.

https://brainly.com/question/862972

What is the product of 9,028 x 100,000 written in expanded form​

Answers

Answer:

902,800,000

Step-by-step explanation:

902800000, is the product of 9,028 x 100,000.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, given that,

9,028 x 100,000

=902800000

Hence, 902800000, is the product of 9,028 x 100,000.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.
Choose
is correct because 2 11 is a Choose... ya
decimal that can be expressed as a
Choose...

Answers

Answer:

Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.

Step-by-step explanation:

The answer choices are:

Gus: 2.11 repeats because there are two 1s.Gus: 2.11 is a repeating decimal because it stops.Hannah: 2.11 is a rational number because it's a decimal.Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.

The correct one is:

Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.

What is the standard form of the number shown in this calculator display?

The calculator shows five point nine three e negative five

Answers

Answer:

The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.

Step-by-step explanation:

hope this helped ✨

find the value of x in the figure shown.
(Hint: the sum of angle measures in any triangle is 180
2x-10
(4x-80)
4x-10

Answers

Answer:

28

Step-by-step explanation:

2x +4x +4x-10 -80-10

10x-100=180

10x=180+100

10x=280

10x/10=280/10

x=28

Find the slope of a pipe that slopes down 1/3 inch per foot

Answers

Answer:

-1/36

Step-by-step explanation:

The slope is of [tex]\mathbf{-\frac{1}{3}}[/tex]

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

We use a linear function to understand this question, which has equation given by:

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

The slope is m, which is the rate of change, that is, how much y changes when x changes by 1.In this problem, for each foot, the pipe slopes down [tex]\frac{1}{3}[/tex] of an inch. Thus, the slope is [tex]m = -\frac{1}{3}[/tex]

A similar problem is given at https://brainly.com/question/18594541

Can someone help me please

Answers

Answer:

The ratio is 6

PLS HELP ME 25 POINTS
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.

Answers

(x+4)(x-2) FOIL the roots
x^2 + 2x - 8
a = 1
b = 2
c = -8

The distance between 4 and 17 is

Answers

17-4= 13
the distance is 13

Year 6 maths question

Answers

explanation:
we know that box A has 5 times as many pens as box B. if we take away 76 pens from box A, then it will be equal to box B. therefore, we would need to make an equation (where x is box B):

5x - 76 = x

subtract 5x on both sides:

-76 = -4x

divide each side by -4:

x = 19

x would also be box A because box B and box A have the same number of pens

what is the reciprocal of 5 3/7

Answers

Answer: 7/38

Step-by-step explanation:

So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)

Hope this helps!

What is the y-intercept of the graph of the linear function?

Answers

Answer:

-6

Step-by-step explanation:

look at the y-axis (the vertical center line) where it passes through it is the intercept

Solve the equation because I really need help

Answers

Answer:

No Solution

Step-by-step explanation:

P.E.M.D.A.S

4(x+5) = 21 + 4x

4x+20 = 21+4x

we would subtract 4 on both sides to isolate 4 by it self.

subtract 4x on both sides but when we do we get 0 for x

4x-4x + 40 = 21 + 4x-4x

we get 40 = 21

So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21

high hopes ^^

Barry

At which value in the domain does f(x) = 0?
X=-3
X=0
X=1
X=4

Answers

at -3 because you if f(0) that means the x is 0, but if f(x) =0 then for what x value does it the y = 0
so where does the line cross the y axis
at x=-3

Solve the equation using a graphical method.
t/3-1/2=t+3/9

Answers

Answer:

-1.25

Step-by-step explanation:

t÷3-1÷2 = t÷1+3÷9

2t-3÷6 = 9t+3=9

18t - 27 = 54 + 18

18t -54t = 18 + 27

-36t = 45

Divide through by -36

t = -1.25

It is possible to approximate the outside temperature based on how fast crickets are chirping. Suppose on a 50 degree day, you measure 52 chirps in a minute, and on a 74 degree day, you measure 148 chirps in a minute.

Answers

hope this makes sense
calculate the slope using change in y over change in x and you will find the average amount of chirps per degree

Consider the table representing an exponential function.


The equation for this function is

f(x) =

Answers

Answer:

Its 8, and 0.5

Step-by-step explanation:

What is the value of the expression 1/3^−5 ?

Answers

Answer:

243

Step-by-step explanation:

hope its right

PLEASE HELP MEE!!!
If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?

Answers

Answer:

eighth graders

Step-by-step explanation:

Answer:eighth

Step-by-step explanation:

A right triangle has hypotenuse with length 8 inches. If one leg is 5 inches long, how long is the other leg?

Answers

Using Pythagoras theorem,

[tex]\sf a^2 + b^2 = c^2[/tex]

Where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the two legs of the triangle, and [tex]\sf c[/tex] is the Hypotenuse.

Putting the given values:

[tex]\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = \sqrt{39}\:\:inches[/tex]

Hence, the length of the other leg is,

[tex]\leadsto \underline{\boxed{\mathfrak{\pink{\sqrt{39}\:\:inches}}}}[/tex]

what is the length of AC

Answers

Answer:

13

Step-by-step explanation:

count A up to C

ZA and B are complementary angles. If mA = (6x + 22)° and m
ZB = (7x + 16)°, then find the measure of ZB.

Answers

44 degrees of its worded the way I think. You definitely have the wording mixed up but u add both angles together and set equal to 90
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