The second angle in a triangle is 3° less than twice the first angle. The third angle measure is 8° more than twice the first angle. Find each angle

Answers

Answer 1

Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.

Step-by-step explanation:

Wee will represent the first angle by f,the second by s, and the third by t.

If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation  s= 2f-3  .

The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .

Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.

f+ (2f+8) + (2f -3) = 180  Combine like terms on the left side

5f + 5 = 180  

     -5      -5

5f= 175  

f = 35  

So the first angle is 35 degrees.

Second angle.

s=2(35) - 3  

s= 70 -3

s = 67  

The second angle is 67.

Third angle.

t = 2(35) + 8

t= 70 + 8

t= 78

The third angle is 78 degrees.

Now add the angles up to see if they equal 180 degrees.

35 + 67 + 78 = 180  

   180 = 180


Related Questions

A road map is drawn to the scale of 1 inch equals 20 miles. How far apart in miles are two towns which are 2 1/2 inches apart on the map?

Answers

50

Step-by-step explanation:

You set this up with a ratio,  1:20 or 1 equals 20 miles.   So i'm multiplying by 20 regardless.   Now I have 2 and a half inches or you can say 2.5.  Multiply 2.5 (on paper..) and 20 and there you go.    20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.  

If the length of a box of Milk Duds box is tripled, how much longer will the box be?​

Answers

Answer:

3x

Step-by-step explanation:

x = original length of the box.

~theLocoCoco

someone please help me with #63! WILL MARK BRAINLIEST

Answers

Answer:

cos60=b/h

1/2= b/3

b=  3/2=1.5

again

sin60=p/h

[tex]\sqrt3[/tex]/2= p/3

p =3[tex]\sqrt3[/tex]/2

Step-by-step explanation:

Answer:

1.5 in. and [tex]\frac{3\sqrt{3} }{2}[/tex]in.

Step-by-step explanation:

easier method:

angle opp. to 30 degrees is 1/2 of hypotonuse:

3/2=1.5 inches

angle opp. to 60 degrees is [tex]\sqrt{3}[/tex] of 30 degree angle:

3/2*[tex]\sqrt{3}[/tex]=3[tex]\sqrt{3}[/tex]/2

If f(2) = 12 and f '(x) ≥ 3 for 2 ≤ x ≤ 5, how small can f(5) possibly be?

Answers

Answer:

21

Step-by-step explanation:

From our previous knowledge, if f'(x) = m ,

Then f(x) = mx+c

For a smaller value of f(5), m should be the smallest possible integer if m = 3

i.e. f(x) = 3x+c

replacing the value of x with 2 given from the question to get the value of c, we have:

f(x) = 3x+c

f(2) = (3×2)+c

where; f(2) = 12

12 = 6+c

- c = -12 + 6

- c = - 6

c = 6

Now, f(x) can now be;

f(x) = 3x + 6

f(5) = (3×5)+6

f(5) = 15 + 6

f(5) = 21

Therefore, smallest possible value of f(5) is 21

-5, -6, 0,6
Which pair of numbers has a sum of zero? (5 points)
-6,0
-5,6
6, -6
-5,0

Answers

Answer:

6,-6

Step-by-step explanation:

6+(-6)=6-6=0

The answer is 6,-6

Translate and solve: 94% of what number is 611?

Answers

Answer:

574.34

Step-by-step explanation:

what are prime numbers?

Answers

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Answer:

Prime numbers are positive integers that have only 2 factors: Itself, and 1.

For example, 13 is a prime number because it has only 2 factors that are: 1 and 13.

1 is NOT a prime number as it only has 1 factor which is 1.

the quotient of 15 and y

Answers

Answer:

Because we are working with a variable (y) and we don't know what number it represents, we can only write down what the calculation would be, but we can't get the actual number answer.

15/y

Step-by-step explanation:

A quotient is the answer to a division.

The statement "the quotient of 15 and y" can be written as 15/y

We have,

The statement "the quotient of 15 and y".

This can be written as,

15/y

The expression "15/y" represents the quotient of 15 and y.

When you divide 15 by y, you are calculating the quotient or the result of the division.

The numerator (15) represents the dividend, which is the number being divided, and the denominator (y) represents the divisor, which is the number by which you divide.

Thus,

The statement "the quotient of 15 and y" can be written as,

15/y

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What is the slope of the line in the graph?

Answers

Edit: I have poor vision! My anwser was incorrect

Answer: m= -3/4

Step-by-step explanation:

can start by looking at the squares of the graph and do the rise over run

. Since it goes down it’s fall over crawl. -3/4

Which phrase should be inserted in the line to make a true statement? 2/3 is _____ 8/12 A. Is greater than B. Less than C. Cannot be compared.D.is equal to (HELP I NEED THIS HURRYY PLSSSS)

Answers

Answer:

the answer is equal because 8/12=2/3 so 2/3=8/12 (2/3)

Step-by-step explanation:

Prasha has five blocks of wood The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood. Step by step please :).

Answers

Let’s convert 3 kilograms to 3000 grams just to make things easier.

650 * 4 = 2600 grams. This is the total weight of the 4 blocks.

To find the weight of the final block, 3000 - 2600 = 400 grams

The weight of the other block of wood is 400 grams.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Prasha has five blocks of wood the total weight of all five blocks of wood is 3 kilograms.

4 of the blocks of wood each have a weight of 650 grams.

∴ (4×650) = 2600 grams is the total weight.

So, the weight of the other block of wood is (3000 - 2600) grams.

= 400 grams.

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A serving of small frozen casserole is 1/3 of the pan. If you eat 1/4 of the pan, what fraction of a serving have you eaten

Answers

Answer:

If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.

Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:

33 = 100

25 = X

(25 x 100) / 33 = X

2500/33 = X

75.75 = X

25/33 = X

Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.

Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.” The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides. The hypothesis is: it is a trapezoid. The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides. The conclusion is: it is a trapezoid.

Answers

Answer: A,B,E

Step-by-step explanation:

The statement is "The conclusion is: it is a trapezoid." the correct option is D.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”

Now,

The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":

It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

The conclusion is: it is a trapezoid.

Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."

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23,500 rounded to the nearest thousand?

Answers

Answer:

24,000

Step-by-step explanation:

is simple just 3500 is closer to 4000 than 3000

Answer:

24,000

Step-by-step explanation:

Please please help fast

Answers

Answer:

no I'm pretty sure. hope it helps

Answer: No

Step-by-step explanation:

First convert 10 feet to yards and also 20 inches to yards.

10 feet to yards is 3.3 and 20 inches to yards is  0.55

Now add them to see if they equal to 4 or greater than.

0.55 + 3.33= 3.88

3.88 is less than 4 so Anis will not be able to make a fence

I need this right now please

Answers

I think this is the fraction -4/9
Yes i agree it is the first option

What is the value of the expression 2.58 x - 53?​

Answers

Answer:

-136.74

Step-by-step explanation:

-136.74 is the answer because 2.58x53= 136.74 and then because one of the numbers is negative and in multiplication and devision if there is an odd number of negatives it’s negative and if there is an even amount it’s positive

Find the derivative of the function. g(x) = ∫5 x 4 x u2 − 1u2 +1 dug'(x) = g

Answers

Answer:

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Step-by-step explanation:

The question can be better structured and represented as :

[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]

now the derivative of the function of g(x) is g'(x) which is equal to:

[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

3.60 rounded to the nearest tenth

Answers

Answer:

3.6 its already rounded just take off the 0

The requried when rounding 3.60 to the nearest tenth is given as 3.60.

When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.

The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.

In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.

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Sabas dance class is 3 miles from her home

Answers

Ok what is the question so I can give you the answer

Round 452,906 to the nearest hundred thousand, ten thousand, thousand, hundred, ten

Answers

Answer:
500,000
450,000
453,000
452,900
452,910

Explanation:
Look to the right one digit of the place they are asking to round up to. If it’s either greater than or equal to 5, then you round up the place they want. If it’s not, then it stays the same. Then all the number to right of it become 0s.

Rounding 452,906 to each place is

(a) to nearest hundred thousand is 500,000

(b) to nearest ten thousand is 450,000

(c)to nearest  thousand is 453,000

(d) to nearest  hundred is 452,900

(e) to nearest  tens is 452,910

Given :

Round the number 452,906 to each place given below

(a) Round to nearest hundred thousand

In the given number , 4 is in hundred thousand's place

To round to nearest hundred thousand, we look at the number in ten thousands place that is 5. 5 is equal to 5. So we add 1 with the number in hundred thousand . write 0 in remaining places

452,906,  Round to nearest hundred thousand is 500,000

(b) To round to nearest ten thousand, we look at the number in thousands place that is 2. 2 s less than 5. So we  keep 5 in ten   thousands place . write 0 in remaining places

452,906,  Round to nearest ten thousand is 450,000

(c)To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  thousand is 453,000

(d) To round to nearest hundred, we have 0 in tens place that is less than 5. So write 9 as it is  and  0 in remaining places

452,906,  Round to nearest  hundred is 452,900

(e) To round to nearest ten , we have 6 in one's place that is greater than 5.

So add 1 with 0  and write 0 in one's place

To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  tens is 452,910

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M=3 what is (5m-m3)+m(9m-25)=

Answers

Answer:

-6

Step-by-step explanation:

[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]

Substitute : m=3 into the given equation

[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]

Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.

Answers

Answer:

First part 7 units left and 5 units up

The 2nd part is v ≥-7 and the third part is Y≥5

Step-by-step explanation:

Done it in Edge and got it right :)

The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.

What is function?"It defines the relation between input and output values.""In function, for each input there is exactly one output."What is transformation of function?

"It is nothing but mean transforming the function from one form to another."

For given question,

We have been given a function [tex]y=\sqrt{x}[/tex]

We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]

We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.

So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.

We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.

So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.

Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.

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MATH


Please heeeeeeeeeeeeeeelp​

Answers

Answer:
1. 5mn
2. -125p^3q^6

Step by Step:
1. 15m^2n^2/3mn
=5mn^2/n
=5mn

2. (-5q^2p)^3
=(-5pq^2)^3
=-125p^3q^6

2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Answers

Answer:angle 1 and 3 measure 29 degrees.

angle 2 and 4 measure 151 degrees.

Step-by-step explanation:

Answer:

29 and 151

Step-by-step explanation:

Where in real life do you work with radical expressions and functions? Give an example of your own.

Answers

Answer: Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations.

Step-by-step explanation: Example: √x+y

√16

12+√x

√3*x²

Which expression is equivalent to –3 – 3x – 1 + x?
2x – 4
–2x + 4
–2x – 4?
4 – 2x

Answers

Answer:

-2x-4

Step-by-step explanation:

-3-1-3x+x

-4-2x

Answer:

-2x-4?

Step-by-step explanation:

Assignment on Edge 2021

⊂(®ω®)⊃  

3. Jackie played the drums in the band. If he beat the drum at a rate of
110 beats per minute, how many beats would he play in 4 minutes

Answers

110x4=440 beats in 4 minutes

Answer:440 beats

Step-by-step explanation:

The minutes cancel when you multiply.

Martin spent $68 on a new drone that he had been saving for. Now, he has
$41 left in his savings jar. Click the equation that could be used to find the total
of his savings, s, before he bought the drone,
S + 68 = 41
S - 68 = 41
68
68 - s = 41
= 41
How many dollars did Martin have saved before he bought the drone?
dollars

Answers

Answer:

The answer is 109

Step-by-step explanation:

i'm too lazy to explain the math but that's the answer

The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages

Answers

Noell is 17 and her father is 45
Noelle is 20. Her dad is 54.
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