Find the measure of the indicated angle to the nearest degree

Step-by-step explanation:

ASK



ALGEBRA II

Ingrid H.

 asked • 04/02/20

The sum of three numbers is 126 . The third number is 3 times the first. The second number is 6 more than the first. What are the numbers?

The sum of three numbers is 126

. The third number is 3

 times the first. The second number is 6

 more than the first. What are the numbers? 

Follow1

Add comment

More

1 Expert Answer

By:Best 

Newest Oldest



Mackenzie K. answered • 04/02/20

TUTOR

  New to Wyzant

Math Tutor For All Grade Levels

SEE TUTORS LIKE THIS

Lets define a=1st number, b=2nd number, and c=3rd number

We know that a+b+c=126

We also know that the second number is 6 more than the first, so we can represent this as b=a+6

We also know that the third number is 3 times the first which can be represented as c=3a

We can plug these new values into our original equation and get:

a+(a+6)+(3a)=126

2a+6+3a=126 COMBINE LIKE TERMS

5a+6=126

5a=120

a=24

Our first number is 24.

Our second number is 6 more than our first number, so the second number is 24+6=30

Our third number is 3 times the first number, so the third number is 3(24)=72

We can check by plugging these numbers in for a, b, and c in our original equation

a+b+c=126

24+30=72=126

126=126

The numbers are 26, 20, and 80.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Three numbers:

First = a

Second = b

Third = c

Now,

a + b + c = 126 ____(1)

c = 4b ____(2)

b = a - 6 _____(3)

From (1), (2), and (3) we get,

a + (a - 6) + 4b = 126

a + a - 6 + 4b = 126

2a + 4b = 126 + 6

2a + 4b = 132

2a + 4(a - 6) = 132

2a + 4a - 24 = 132

6a = 132 + 24

6a = 156

a = 26

Now,

a = 26

b = a - 6 = 20

c = 4b = 4 x 20 = 80

Thus,

The numbers are 26, 20, and 80.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

12

Step-by-step explanation:

The angle equals 90 degrees so (8*12-6) would equal 90

Answer:

angles 4 7 and 6........

Answer:

Step-by-step explanation:

1.

[tex]5\frac{3}{4} +(-\frac{1}{4} )\\\\5\frac{3}{4}=\frac{5\times4+3}{4}=\frac{23}{4}\\\\\frac{23}{4} +(-\frac{1}{4} )\\\\=\frac{23}{4}-\frac{1}{4}\\\\=\frac{23-1}{4}\\\\=\frac{22}{4}\\\\=5\frac{1}{2}[/tex]

2.

[tex]-\frac{2}{3} +\frac{1}{6} \\\\L.C.M \:OF\:3,6\: =6\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=\frac{-3}{6}\\\\=-\frac{3}{6}\\\\=-\frac{1}{2}[/tex]

3.

[tex]-\frac{8}{5} +(-\frac{3}{4} )\\\\L.C.M \:OF\:5,4\: =20\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{32}{20}-\frac{15}{20}\\\\=\frac{-32-15}{20}\\\\=\frac{-47}{20}\\\\=-\frac{47}{20}\\\\=-2\frac{7}{20}[/tex]

Answer: C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

99% sure its D

Step-by-step explanation:

Answer:

9.65 kilograms = 9650 grams

Step-by-step explanation:

Answer: 2x+y=1

3x-y=-6

==>5x=-5

==>x=-1 and y=1-2*(-1)=3

Sol={(-1,3)}

Answer A

Answer:

this is given by Rishabh 3456

Step-by-step explanation:

Answer:

im pretty sure it is answer A. 4.802 x 10^7

Step-by-Step explanation

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 48,020,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 48,020,000

New Number: 4.8020000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 4 . 8 0 2 0 0 0 0

Decimal Count:   1 2 3 4 5 6 7

There are 7 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 4.802 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

4.802 x 107

Step 4

Check your work:

107 = 10,000,000 x 4.802 = 48,020,000

Answer:

[tex]\boxed {\frac{27}{125}}[/tex]

Step-by-step explanation:

Solve the following expression:

[tex](0.1296)^{\frac{3}{4}}[/tex]

-Calculate [tex]0.1296[/tex] to the power of [tex]\frac{3}{4}[/tex]:

[tex](0.1296)^{\frac{3}{4}}[/tex]

[tex]\boxed {\frac{27}{125}}[/tex]

Therefore, the final answer is [tex]\frac{27}{125}[/tex].

Answer:

(-0.39 - 75 + 5)

Step-by-step explanation:

If you multiply a positive by a negative, it becomes a negative. If you multiply a negative by a negative, it becomes positive. Remember that, it will help you later on.

Answer:-70.39

Step-by-step explanation: im  in college

Answer:

Step-by-step explanation:

sin x =3/4

x is an obtuse angle and sin x is positive .

∴ x lies in 2nd quadrant.

Hence cos x is negative.

[tex]cos x=-\sqrt{1-sin^2x} =-\sqrt{1-(3/4)^2} =-\sqrt{1-\frac{9}{16} } =-\sqrt{\frac{7}{16} } =-\frac{\sqrt{7} }{4}[/tex]

Solving a trigonometric equation, it is found that:

[tex]\cos{x} = -\frac{\sqrt{7}}{4}[/tex]

The sine and the cosine of an angle x are related by the following equation:

[tex]\sin^2{x} + \cos^2{x} = 1[/tex]

In this problem:

[tex]\sin{x} = \frac{3}{4}[/tex], thus:

[tex]\sin^2{x} + \cos^2{x} = 1[/tex]

[tex](\frac{3}{4})^2 + \cos^2{x} = 1[/tex]

[tex]\frac{9}{16} + \cos^2{x} = 1[/tex]

[tex]\cos^2{x} = 1 - \frac{9}{16}[/tex]

[tex]\cos^2{x} = \frac{7}{16}[/tex]

[tex]\cos{x} = \pm \sqrt{\frac{7}{16}}[/tex]

Since the cosine is negative.

[tex]\cos{x} = -\frac{\sqrt{7}}{4}[/tex]

A similar problem is given at https://brainly.com/question/24680641

Answer:

Perimeter of the sheet of paper = 814 mm²

Step-by-step explanation:

Given:

Length of side = 197 mm

Width of side = 210 mm

Find:

Perimeter of the sheet of paper

Computation:

Perimeter of the sheet of paper = 2[l+b]

Perimeter of the sheet of paper = 2[197+210]

Perimeter of the sheet of paper = 814 mm²

Answer:

174,242.2

hope tis help

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

pretty sure

Answer:

x = 55

Step-by-step explanation:

to find angle BPR you would do:

180 - 120 = 60

so BPR is 60°

now to find x you do this:

65 + 60 + x = 180

125 + x = 180

x = 55

Answer:

Nun u

Step-by-step explanation:

DOING YA MOM

Just kidding, I am eating Chicken Pot Pie while working on my day off (:

Answer:

8 - 6x

Step-by-step explanation:

2(4-3x)

multiply 2 to both 4 and -3x

8-6x

Answer:

-6x + 8 or 6x - 8 if you want to remove the negative sign in x

Answer:

go to tiger algebra on google and type in question

Step-by-step explanation:

Answer:

4 weeks . ∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴

Answer:

At ; I = 3,  P is at maximum

Step-by-step explanation:

P ( I ) = [tex][ \frac{80 I}{I^2 + I + g } ][/tex]

at  I = 3

P" ( I ) < 0

therefore at  I = 3   the value of P( I ) is at maximum

attached below is the detailed solution

Answer:

noah will have 11 takis

Step-by-step explanation:

240THE ANSWER IS 240

Answer: i think 23x

Step-by-step explanation: i might be incorrect

Answer:

23x + 250

Step-by-step explanation:

x representing the amount of jerseys and 250 representing the one time fee and the y intercept

Answer:

1. 28:15

2. 3:13

Step-by-step explanation:

The ratios above have no common factor.

4:24 .

Common factor : 4

18:30

Common factor : 6

12:14

Common factor : 2

Answer:

28:15

3:13

Step-by-step explanation:

The ratios 28:15 and 3:13 are in their simplest form, meaning that they cannot be simplified any further.

Meanwhile, the other 3 ratios are not in their simplest form and can still be simplified if they are divided by either 2 or 4.

Answer:

m∠I = 50 degrees

Step-by-step explanation:

Mathematically, the base angles of an isosceles triangle are equal

So in this case, since H is a vertex;

m∠I + m∠H + m∠G = 180

m∠I = m∠G = x

2x + 80 = 180

2x = 180-80

2x = 100

x = 100/2

x = 50

Answer:

d is the answer on edge 2022

Step-by-step explanation:

Answer:

w > 3

Step-by-step explanation:

5w - 4 > 11

5w  > 15

w > 3

I think the answer is w= 6 or more

Step-by-step explanation:

I think it's this bc if u do 5 times 6 equals 30 then minus 4 is 26. 26 or more is greater than 11

Answer:

the correct answer is A on edge

Step-by-step explanation:

Answer:

The answer above is correct!

Option A. BC < MN is the answer :)

Step-by-step explanation:

Here's a screenshot for proof - hope this helped :D