If m<2=98, m<3=23, and m<8=70 find the measure of each missing angle

If M&lt;2=98, M&lt;3=23, And M&lt;8=70 Find The Measure Of Each Missing Angle

Answers

Answer 1

Answer/Step-by-step explanation:

Given:

m<2 = 98,

m<3 = 23,

m<8 = 70

m<1 + m<2 = 180° (linear pair)

m<1 + 98 = 180 (substitution)

m<1 = 180 - 98 (subtracting 98 from each side of the equation)

m<1 = 82°

m<2 + m<3 + m<7 = 180° (sum of angles in a triangle)

121 + m<7 = 180 (substitution)

m<7 = 180 - 121 (subtracting 121 from each side)

m<7 = 59°

m<4 = m<7 (alternate angles are congruent)

Therefore,

m<4 = 59°

m<5 + m<4 + m<3 = 180° (angles on a straight line)

m<5 + 59 + 23 = 180 (substitution)

m<5 + 82 = 180

m<5 = 180 - 82 (subtracting 82 from each side)

m<5 = 98°

m<6 + m<7 + m<8 = 180° (angles on a straight line)

m<6 + 59 + 70 = 180 (subtitution)

m<6 + 129 = 180

m<6 = 180 - 129 (subtracting 129 from each side)

m<6 = 51°

m<9 + m<8 + m<4 = 180° (sum of triangle)

m<9 + 70 + 59 = 180 (substitution)

m<9 + 129 = 180

m<9 = 180 - 129

m<9 = 51°

m<10 + m<9 = 180° (linear pair)

m<10 + 51 = 180° (substitution)

m<10 = 180 - 51

m<10 = 129°


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Charlotte drove 304 miles in 8 hours. If she continued at the same rate, how long would it take to travel 190 miles?

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first, see how many miles she rode per hour.
304 miles/8 hours = 38 miles per hour
second, divide how many miles she needs to travel by how much she rides mph.
190 miles/38 mph = 5 hours.
it would take her five hours.

The time to travel 190 miles will be 5 hour.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Charlotte drove 304 miles in 8 hours.

And, She continued at the same rate.

Now,

Since, Charlotte drove 304 miles in 8 hours.

Hence, The speed is,

Speed = Distance / time

          = 304 / 8

          = 38 miles / h

So, For travel 190 miles at same rate;

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Explanation :
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Explanation:-
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Step-by-step explanation:

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a
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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

variable definition?

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Answer:

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divide both sides
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Explanation: I knew that 6+6 would equal 12, so I decided to make the 2 in the equation into a 6 by plugging in 3 to y. Then, I plugged in one to make it stay a 6. To check my work, 6(1)+2(3)=12

What essential characteristic does a good experiment have?​

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Answer:

It should have many essential characteristics such as a Control group, a hypothesis, research to back up and defend your hypothesis/claim and it should be replicable by others with similar results to prove your experiments claim.

Hope this helps. :)

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Answer:

Sauce requires milk, cheese, red potatoes

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per day plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.

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Answer:

Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.

Step-by-step explanation:

Point B has 3 lines extending from it. One line extends to point A, another to C, and another to D. Angle A B D is a right angle. Which information do you know is true from the diagram? Check all that apply. ∠ABD is a right angle. Ray B C bisects angle ∠ABD. m∠ABC = 45° m∠CBD = 45° m∠ABD = 90°

Answers

Answer:

A) ∠ABD is a right angle.

E) m∠ABD = 90°

Step-by-step explanation:

just took the test

∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that,

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The right angle is a 90-degree angle.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

You need to translate these into a common rate.

feet / second is probably the best one.

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Answers

Explanation:

Let's say,

(x1,y)  (x2,y2)

are two points in a

xy

plane. We can find the shortest distance between two point by applying the distance formula stated as:

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So by putting our given points

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Simplify to get:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The Answer Is: m∠ABD = m∠ABC

Step-by-step explanation:

I just took the test

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Given that a horizontal line has points D, B, C. A line extends vertically from point B to point A. Also, Ray BA bisects ∠DBC. Therefore, the diagram for the given condition can be made as shown below.

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F is between C and B. If CF = 7x+4, FB = 10x -69, and CB = 12x -25. Find x and CF​

Answers

Answer:

x = 8CF = 60

Step-by-step explanation:

  CF + FB = CB

  (7x+4) +(10x-69) = (12x-25)

  5x = 40 . . . . . . . . add 65-12x

  x = 8 . . . . . . . . . . divide by 5

  CF = 7x +4 = 7(8) +4 . . . . use the x value in the expression for CF

  CF = 60


If tan 0=3/4 find csc0


Answers

Answer:

tanθ = 3/4  p/b

using Pythagoras theorem

H² = P² + b²

H² = 3²+ 4²

H² = 25

H = 5

cosθ = B/H = 4/5

Is 0.3529 irrational or rational

Answers

Answer:

It is Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

i believe the answer is irrational

Use the distributive property to multiply -3(-2 3/10). A. (-3)(-2) + (-3) (-3/10) B. (-3)(-2) + (-3/10) C. (3)(3/10) + (-3/10) D. (3 + 3/10)(-3 + (-2))

Answers

Answer:

[tex]A.\ (-3)(-2) + (-3)(3/10)[/tex]

Step-by-step explanation:

Given

[tex]-3(-2 - 3/10)[/tex]

Required

Simplify

[tex]-3(-2 - 3/10)[/tex]

Apply Distributive Property;

This simply means that; we expand the bracket;

So, we have;

[tex]= (-3)(-2) + (-3)(3/10)[/tex]

From the list of given options, option A answers the question

Answer:

A

Step-by-step explanation:

I took the quiz

Given the points (10, 0) and (0, 9), find - the slope of the line between these two point, and - the distance between the two points.

Answers

Answer: m=-9/10; d=13.45

Step-by-step explanation:

To find the slope, you would use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We plug in the given points and solve.

[tex]m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}[/tex]

Now, we know that slope is -9/10.

To find the distance between the points, we use the distance formula.

Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(0-10)^2+(9-0)^2}[/tex]             [parenthesis]

[tex]d=\sqrt{(-10)^2+(9)^2}[/tex]                       [exponent]

[tex]d=\sqrt{100+81}[/tex]                               [add]

[tex]d=\sqrt{181}[/tex]

[tex]d=13.45[/tex]

Now, we know the distance is approximately 13.45.

WILL MARK FIRST ANSWER AS BRAINLIEST

Write an equation for the following (put the EQUATION in the answer box):
Jamie spends the same amount of money each morning. On Sunday, he bought a newspaper for $1.25 and bought 2 donuts. On Monday, he spent $0.50 on a newspaper and also bought 5 donuts. How much does each donut cost?

1.25+2x=.50+5x

Find the cost of a donut in #17

Answers

Answer:

$0.25 per donut.

Step-by-step explanation:

So, we know that Jamie spends the same amount of money each morning.

On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.

On Monday, he spent $0.50 on a newspaper and bought 5 donuts.

Since he spend the same amount of money each morning, we can say that:

[tex]1.25+2x=0.5+5x[/tex]

Where x represents the cost per donut.

So, to find the cost of a donut, we need to solve for x.

So, let's try to isolate the x. Subtract 2x from both sides:

[tex](1.25+2x)-2x=(0.5+5x)-2x[/tex]

The left side cancels. Subtract on the right:

[tex]1.25=0.5+3x[/tex]

Now, let's subtract 0.5 from both sides:

[tex]0.75=3x[/tex]

To find x, divide both sides by 3:

[tex]x=0.75/3[/tex]

Divide:

[tex]x=0.25[/tex]

Therefore, each donut cost $0.25.

And we're done!

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