Mathematics College

Determine which of the following angle measures are correct. Select all the apply

Answers

Answer 1

Answer:

The right answer is :

2 (108) and 3 (72)

Step-by-step explanation:

i did the test

Answer 2

The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

What is isosceles triangle?

An isosceles triangle is a triangle which is having two sides equal to each other.

How to determine angles?

Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.

So,

(4x+16)°+2(5x+7)°=180°

4x-16+10x+14=180

14x-2=180

14x=180+2

14x=182

x=182/14

x=13

Putting the value of x.

∠BCA=5x+7

=5*13+7

=65+7

=72

∠ABC=4x-16

=4*13-16

=52-16

=36

∠BAC=180-36-72

=180-108

=72

∠BCD=180-∠BCA

=180-72

=108°

Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

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Related Questions

QUESTION 28
Use the remainder theorem to find (ONLY TYPE IN THE NUMBER!)
(4) for f(x) = -x + 8x? +63

Answers

Answer
32
Explanation
-4 + 8(4) + 63

In a sixth grade class the ratio of boys to girls is 4:3 if there are 35 students in the class how many girls are there

Answers

Answer:

The given ratio is 3:4 this means there are 7 people in each unit of this ratio.

It is stated that there are 35 students in total . That would mean that there are

5 Total sets of students in this class . When we multiply the numbers in our starting ratio by this multiple of 5 , our ratio now becomes 15 : 20

15 and 20 do indeed add up to 35 … But , our question wants to know how many more GIRLS are in the class . Boys were calculated to be 15 in number .

Girls were calculated to be 20 in number .

We now know there were 5 more girls than boys in that class ..

5 is your answer .

1.3K views

Vivek Sharma

Answered January 9, 2020

total number of student in class=35

let the number of boys be 3x

let the number of girls be 4x

so therefore 3x+4x=35 =>7x=35 =>x=5

so therefore number of boys in class is 3x=>3(5)=15

and number of girls in class is 4x=>4(5)=20

so there are 20–15=5 more girls in class than boys.

5.3K viewsView 1 Upvoter

Ashis Ghosh, former Retired officer at State Bank of India

Answered April 8, 2019 · Author has 4.4K answers and 931.6K answer views

Let the number boys in the class be b. So b/(35-b)=3:4, or 105-3b=4b, or 7b=105, or b=15. The number of girls in the class is 35-15=20 20-15=5

Ans: there are 5 more girls than the number of boys in the class.

576 viewsView 1 Upvoter

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Related Questions

The ratio of boys to girls in a class is 3:2, if there are 12 girls, how many boys are there?

Step-by-step explanation:

Brendan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $50 for the initial consultation and then $60 per session. Another plan is to charge $100 for the consultation and $50 per session. Brendan realizes that the two plans have the same cost for a certain number of sessions. After how many sessions will the pricing be the same?

Answers

Answer:

1700

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.

Answers

Answer:

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: -3/4x - 3/2

Hope this helps! :)

The correct matches are,

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: y=-3/4x - 3/2

We have given that,

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

What is the linear model?

The term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with a linear regression model.

Match each linear model to its inverse.

Therefore the correct matches

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: y=-3/4x - 3/2

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There are 210 calories in a 12 ounce drink if Katie drinks 5 ounces how many calories did she drink

Answers

Answer:

she drank a total of 87.5 calories

Step-by-step explanation:

you divide 210 by 12, and multiply by 5! :)

Answer:

87.5

Step-by-step explanation:

calories per oz is 210/12=17.5 then 5x17.5=87.5

There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them bought 2 binders and 5 notebooks. The students have a total of $420 to spend.

Answers

Answer:

Step-by-step explanation:

There's 24 students so I would do 5 × 24 which equals 120 so 420 - 120 is 300. Then 2 × 24 is 48. Now 300-48 is 252. They would have $252 left.

538 = ? hundred + ? tens + ? ones

What is the answer?
(I am doing this cause my friend won't stop saying that 8 is in the tens

Answers

Answer:

500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.

Step-by-step explanation:

500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.

my last question someone help pls

Answers

Answer:

Step-by-step explanation:

Help please please please

Answers

A, make me the brainiest answer too pls

What is 166.15801966 rounded

Answers

166.19
166
166.158
those are just some of the options

Solve two sevenths plus seven fourteenths

Answers

Answer:

Eleven Fourteenths

Step-by-step explanation:

Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14

Answer:

Step-by-step explanation:

i took the test

r−5r−6s+8s−15 what is the answer for this equation

Answers

Step-by-step explanation:

r-5r-6s+8s-15

-4r+2s-15

= 2s-4r-15

The simplified form of the given expression is -4r+2s-15.

The given expression is r-5r-6s+8s-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be solved as follows:

r-5r-6s+8s-15

= -4r+2s-15

Therefore, the simplified form of the given expression is -4r+2s-15.

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Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS

Answers

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.

Answers

Dhaka 22 herbs sisjsn jabs and she

A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?

A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour

Answers

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.

Hoped this helped!

Find the distance between the two numbers on a number line −7,−323

Answers

Answer:

-316

Step-by-step explanation:

...................

(7 points) Simplify to create an equivalent expression.{-4(z+3)-4(5-4z)

Answers

Answer : 12z - 32

Explaination:

Uhhh yeah math?

What is the slope-intercept equation of the line below?

Answers

Answer:

the answer is C hope this helps

boys:total students = 2:9, girls = 21, boys =

Answers

Answer:

6 boys

Step-by-step explanation:

Subtract to find the total number of girls.

9 - 2 = 7 girls

Write a ratio from boys to girls.

2:7

Divide to find the scale factor.

21 / 7 = 3

Multiply to find the total number of boys.

3 * 2 = 6

Best of Luck!

Is is 24, 15, 23 or 33

Answers

Answer:

Step-by-step explanation:

Sometimes subtraction involves borrowing.

true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

You will need borrowing for situations like this; 11 - 09

To subtract 1 by 9, you need to borrow.

If (he)={(0,1),(2,3),(-4,1)}, find h^-1(x)

Answers

The given function is

[tex]h(x) = \{ (0,1), (2,3), (-4, 1) \}[/tex]

The inverse function is

[tex]h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}[/tex]

To get the inverse, we swap each x and y coordinate.

The rule is [tex](x,y) \to (y,x)[/tex]

So that's why the point (0,1) becomes (1,0) for instance.

Please help me if you know how to do it

Answers

14. y=x^2 + 3

15. substitute the numbers from the table into each equation

16. All real numbers

Select all intervals in which the function P(t) is decreasing

Answers

Answer:

we conclude that the intervals in which the function P(t) is decreasing are:

x < 13 < x < 4

Step-by-step explanation:

At x< 1, the function P(t) is decreasing

A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xA function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x

From the figure, it is clear that the function seems to be increasing

from (1, 3) and then 4 to onwards.

But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).

Therefore, we conclude that the intervals in which the function P(t) is decreasing are:

x < 13 < x < 4

Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end, I don't know what answer to choose. Both seems correct to me.

Answers

Answer:

Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,

Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3

Answers

Answer:

Step-by-step explanation:

Can y’all answer the middle one Ill mark you brainlist.

Answers

Answer:

4.44 infinet

Step-by-step explanation:

If you are asking and need to round it up it will come up to

4.444

You need to round it up because the 4.444 goes on and on infinitely.

If you needed another answer comment what it is you need and I will answer you on there.

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint

Answers

Answer:

10:18 10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

Whoever answers this gets brainlist!

Answers

Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

Hi I'm struggling with this equation 1/2 * (- 4 + 12) + 3(1/3 * x + 6) = 3/4 * (- 16x + 8) and need help

Answers

Answer:

im not sour if this is what you want but i got 1.3 repeating

Step-by-step explanation:

u simplify in ur head

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