3.3.4 Practice: Angle Relationships in Triangles

Practice

Math 8 Sem 2

Points Possible:5


Date:



Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.


1. What is the measure of ∠4? Explain how you know.


Write your answer in the space below.















2. What is the sum of the measures of the angles in a triangle?


Write your answer in the space below.















3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?


Write your answer in the space below.















4. What is the measure of ∠1? Explain.


Write your answer in the space below.















5. Find the measure of ∠2. Explain how you found its measure.


Write your answer in the space below.















6. What is the measure of ∠3? Explain.


Write your answer in the space below.

Answers

Answer 1

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer 2

Answer:

AP EX

Step-by-step explanation:


Related Questions

Nora is going to invest $9,600 and leave it in an account for 8 years.
Assuming the interest is compounded continuously, what interest rate,
to the nearest hundredth of a percent, would be required in order for
Nora to end up with $14,400?

Answers

I think that she wouldn't end up with “$14,400” she would end up with $76,800 if you multiply.

Answer:

The answer is 5.07%, I just did this :)

What's the difference between an opened circle on a number line and a closed circle. ( Pls give an example)

Answers

Answer:

Open circle: used for < (less than) or > (greater than) because the number is not part of the solution.

Closed circle: used for ≥ (greater than or equal to) or ≤ (less than or equal to) because the number is part of the solution.

Shading:

Shade to the right for > or ≥

Shade to the left for < or ≤

Step-by-step explanation:

2 < x < 5

Place a open circle on 2 with shading to the left and a open circle on 5 with shading to the right.

4 ≤ x ≤ 10

Place a closed circle on 4 with shading to the left and a closed circle on 10 with shading to the right.

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

left 4, down 9
left 4, up 23
right 4, down 9
right 4, up 23

Answers

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

left 4, down 9

left 4, up 23

right 4, down 9<<<<<<< CORRECT

right 4, up 23

The translation should be right 4 units and down 9 units.

Which translation should we use?

First, we need to find the vertices of both functions.

for f(x) = x^2 the vertex is at (0, 0), as we already know.

For g(x) = -8x + x^2 + 7 the x-value of the vertex is at:

x = -(-8)/(2*1) = 4

Evaluating g(x) at x = 4 we get:

g(4) = -8*4 + 4*4 + 7 = -9

So the vertex is at (4, -9).

To go from (0, 0) to (4, -9) we need to move right 4 units and down 9 units, so the correct option is the third one.

If you want to learn more about translations, you can read:

https://brainly.com/question/24850937

translate into algebraic expression four divided by the sum of x and three

Answers

[tex]\frac{4}{x+3}[/tex]

sum is addition

Please help, at it with these graphs again, thanks in advance.

One car is increasing its speed at a steady rate, while another car is decreasing its speed at a steady rate. The speed (y) over time (x) for the cars is represented by the following system of equations.

(picture of graph)

After _[blank A]_ minutes, both cars were traveling at a speed of _[blank B]_ miles per hour.

Enter your answer as the values that correctly fill in the blanks in the previous sentence, in the correct order, and separated by a comma, like this: 42, 53

Answers

Answer:

5, 45

Step-by-step explanation:

5 km
5 km
7 km
Find the surface area

Answers

Answer:

190km

Step-by-step explanation:

2(wl + hl + hw)

2 · (5 · 7 + 5 · 7 + 5 · 5) = 190

good luck, i hope this helps :)

Estimate a 15% tip on a dinner bill of $83.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

the tip amount is $12

Step-by-step explanation:

The computation of the tip amount is shown below:

But before that rounded the dinner bill to the nearest ten dollars i.e. $80

Now the tip amount is

= Dinner bill × tip percentage

= $80 × 15%

= $12

Hence, the tip amount is $12

classify the triangle by its sides, and then by angles ​

Answers

Answer:

riangles can be classified by their sides and by their angles. ... If no sides are the same length, then it is a scalene triangle. If two sides are the same length, then it is an isosceles triangle. If all three sides are the same length, then it is an equilateral triangle.

Step-by-step explanation:

Mark swims 14 miles a day, 5 days a week. How many miles does he swim in 3 days?

Answers

Answer:

42 miles

Step-by-step explanation:

If Mark swims 14 miles a day, all you have to do to find how many miles he swims in 3 days is mulitply 14 by 3. Thats how you get the answer of 42!

:)

si hay 3/4 de nieve de chocolate y vainilla el resto y el resto de es de fresa qué fracción total de la nieve es de fresa?​

Answers

La fraccio total de nieve de fresa es de ¼.

SOMEONE PLEASE HELP AND MARK AS BRAINLIEST

Answers

Draw arrow to -2.5 hope this helps

I NEED THIS ANSWERED ASAP!!! A bicycle wheel makes five rotations. The bicycle travels 44.48 ft. Find the diameter of the wheel in inches. Use 3.14 for π.

Answers

Yes and that is very correct young lad

can someone help plz?.

Answers

a^2+b^2=c^2
So 17^2+12.75^2 = 451.5625
Square root that
21.25

An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.

Answers

Answer:

Kindly check attached picture for sample space.

Step-by-step explanation:

Sample space, S

S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

The tree diagram for all 18 elements in the sample space can be found in the picture attached below :

a.)

Event A ; number on die < 3

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

b.)

Event B ; 2 tails occur :

B = {1TT, 3TT, 5TT}

QUESTIONS B, C and E are not well formatted

Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.

Answers

Answer:A-B-C-D

Step-by-step explanation:

Answer:

1234

Step-by-step explanation:

i took the test

the relationship described is linear or expor
Mandy is training for a half marathon.
She runs 4 miles this weekend. For the
next several weeks she plans to increase
her distance by 10% each weekend.

Answers

Answer:

Kasi

Step-by-step explanation:

kasi mapiti itlog ko

A new car has a sticker price $20,880, while the invoice price paid on it was
$17,920. What is the percent amount of markup?
A. 14.18%
B. 16.52%
C. 46.19%
D. 53.81%
SUBMIT

Answers

Answer:

16.52

Step-by-step explanation:

Simplify completely"""​

Answers

Answer:

[tex]\displaystyle \frac{2(x + 2)}{x - 10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{2x^2 + 20x + 32}{x^2 - 2x - 80}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{2(x + 2)(x + 8)}{x^2 - 2x - 80}[/tex][Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{2(x + 2)(x + 8)}{(x - 10)(x + 8)}[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle \frac{2(x + 2)}{x - 10}[/tex]

A boat travels 336 miles in 22hours (with a constant speed). How far can it travel in 8 hours (with the same speed)?


Answers

Answer:

122.18 miles.

Step-by-step explanation:

336miles/22hours × x miles/8hours

336 × 8 ÷ 8 = 122.18miles

good luck, i hope this helps :)

A car travels 20 km west of Dasma, and was seen travelling 10km to east after. Calculate the

displacement of the car.​

Answers

Answer:

Step-by-step explanation:

It goes 20 km to the west.

Then it turns around

And it goes 10 km west.

The net result is that it is 10 km from the starting point and it is east of Dasma.

it goes 20km west, 20km east back to starting point, and another 10km east...
20+20+10=50

50km displacement

Determine the x-intercept points of the function h(x) = (x – 5)(x – 6).
Question 4 options:

A)

(5,0) and (6,0)

B)

(–5,0) and (–6,0)

C)

(5,0) and (–6,0)


D)

(–5,0) and (–6,0)

Answers

D) -5,0 and -6, 0
Explanation: trust me bro

7.) Which of the following are some of the possible solutions for the inequality?
-9w <-54
A. 6, 7, 8, 9
B. 6,5, 4,3
C.-6, -5, -4,-3
D. -6, -7,-8,-9

Answers

Answer:

A

Step-by-step explanation:

We will solve this inequality by dividing both sides by -9.

Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.

So we get:

[tex]w>6[/tex]

The only answer that has possible solutions that are greater than 6 is A.

f(x)=-12x^3-14x^2+6x

Answers

There has to be x equals of f is something or u can’t solve

Find dy/dx by implicit differentiation.
cot(y) = 9x – 7y

dy/dx = ?

Answers

Answer:

Step-by-step explanation:

Use intercepts to graph the linear equation –2x + 6y =18

Answers

(-9,3)

Root is (-9,0)
Vertical intercept is (0,3)

Answer:

First, you solve for y, then you graph the equation.

See picture for how to solve for y (aka put in slope intercept form) and graph.

1/3 is the slope and 3 is the y intercept

Step-by-step explanation:

see photos

If x = 4 units, y = 8 units, and h = 7 units, find the area of the parallelogram shown above using decomposition. A. 28 square units B. 56 square units C. 84 square units D. 112 square units

Answers

Answer:

a

Step-by-step explanation:

area of parallelogram is equal to base times height 7 * 4

How many cubes with side lengths of 1/3 cm does it take to fill the prism

Answers

Answer:

Answer:48 cubes

You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.

I hope it's helpful!

Tom buys 4 tickets for a concert. The total cost is $85,60. How much does he pay
for each ticket?

Answers

Answer:

$21.40 for each ticket

Step-by-step explanation:

Answer:

$21.1

Step-by-step explanation:

owrite down the name of each of these triangles

Answers

Answer:

sry I don't know.

if someone answer tell me the answer I also want to know : )

A hailstone falls from a cloud at a height of 1,600 ft. If the equation for height as a function of time is h(t) = -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the hailstone to hit the ground? [?] seconds ​

Answers

Answer:

10 seconds

Step-by-step explanation:

The function is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

Initial height = 1600 ft

t = Time taken

[tex]0=-16t^2+1600[/tex]

[tex]\Rightarrow -16t^2=-1600[/tex]

[tex]\Rightarrow t^2=\dfrac{1600}{16}[/tex]

[tex]\Rightarrow t^2=100\\\Rightarrow t=\pm 10[/tex]

So, time taken by the hailstone to reach the ground is [tex]10\ \text{seconds}[/tex].

Answer:

10 seconds

Step-by-step explanation:

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