3 times a number f increased by 5 squared

Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

[tex]y+(3x+5)=180[/tex]

[tex]y=180-3x-5[/tex]

[tex]y=175-3x[/tex]

Similarly,

[tex]z+(3x-5)=180[/tex]

[tex]z=180-3x+5[/tex]

[tex]z=185-3x[/tex]

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

[tex]x+y+z=180[/tex]

[tex]x+(175-3x)+(185-3x)=180[/tex]

[tex]-5x+360=180[/tex]

[tex]-5x=180-360[/tex]

[tex]-5x=-180[/tex]

Divide both sides by -5.

[tex]x=36[/tex]

The value of x is 36.

[tex]y=175-3(36)[/tex]

[tex]y=175-(108)[/tex]

[tex]y=67[/tex]

Now,

[tex]z=185-3(36)[/tex]

[tex]z=185-108[/tex]

[tex]z=77[/tex]

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

Answer:  [tex]x \le -1[/tex]

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Explanation:

The domain is the set of all possible x values of a function.

The largest x can get is x = -1, since this x value applies to the x coordinate of the right most point on the curve. The filled in circle indicates we include this endpoint as part of the domain.

There is no smallest x value due to the arrow showing the curve goes on forever in that direction.

We can write the domain as [tex]-\infty < x \le -1[/tex] but it's better to write [tex]x \le -1[/tex]

Put another way: the domain consists of values that are -1 or smaller.

Answer:

The answer is C 212

Answer:

a

Step-by-step explanation:

m*m= m^2

-15*2=-30

-15m+2=-13m

Answer:

a

Step-by-step explanation:

(m-15)(m+2)

Answer:

m≥3

Step-by-step explanation:

Answer:

m≥3

Step-by-step explanation:

Answer:

6 gallons

Step-by-step explanation:

1) add 15 and 19 to get 34

2) then add 34 and 14 to get 48

3) then divide 48 by 8 to get 6

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first we will do 180-152 to get the measure of the angle besides the angle. That'll give us 28, then we know that those base angles of this mini triangle are congruent so we will do 28+28 to get 56. Now we will do 180-56 to get the last angle of the triangle, which is 124. And this angle is the same as the angle with x because they are corresponding angles so x is 124°.

Answer:

x = 2

Step-by-step explanation:

2x + 20 = 12x

First, we have to put our exponent on the same side of our equation

2x + 20 = 12x

-2x            -2x

20 = 10x

Now, we have to divide by 10 on both sides to get our exponent on its own (x)

20 = 10x

÷10   ÷10

2 = x or x =2

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Fraction is 189/1000

Word I guess would be point one eight nine

Answer:

Gail will have 8 cards before adding those 10, 18 if she added those 10.

Step-by-step explanation:

When Gail has 8 cards then Helen would have 18 cards, whicj is twice more than double that of Gail's.

Answer:over 10

Step-by-step explanation:

Get sticke bugged lol

Answer:

D.

x and y are the terms think about the letters in the expression and those are the terms.

Answer:

the first question is right the next about the sea level i think would be 7.92 then the last would be the value of x should be greater than or equal to -5

Step-by-step explanation:

Answer:

dts on sundar

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

y = 2/3 x + 5; y = 7

7 = (2/3)x + 5

2 = (2/3)x

x = 2 * 3/2

x = 3

Answer:

x=3

Step-by-step explanation:

To start all you need to do is replace [tex]y[/tex] with 7 to get [tex]7=\frac{2}{3}x+5[/tex]

Then, you need to isolate x on the right side of the equation, starting with subtracting 5 on both sides to get [tex]2=\frac{2}{3}x[/tex]

Finally, you divide both sides by [tex]\frac{2}{3}[/tex]. You divide fractions by multiplying the reciprocal like so [tex]\frac{2}{1} *\frac{3}{2} =x[/tex] to get [tex]\frac{6}{2} =x[/tex]. This means that x=3

Answer:

6x-18

Step-by-step explanation:

(2x-6) + 4(x-3)

(2x-6) + (4x-12)

2x - 6 + 4x - 12

6x-18

Answer:

6x-18 (simplified)

Step-by-step explanation:

Answer:

y =  3 /2 x − 5

Step-by-step explanation:

It's hard to write out an explanation for this one but you could also plug it into an algebra calculator to check mine and your answer :))

Answer:

4:141

Step-by-step explanation:

first, wright out a ratio with what's given

20(teachers):705(students)

next, simplify the ratio by dividing both sides by the gcf

20: 705

20/5 : 705/5

4 : 141

Answer:

324 calories

Step-by-step explanation:

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

The unit rate for calories per cup = calories per cup

3/4 cup serving = 81 calories

3 cups of cereal = x calories

We Cross Multiply

3/4 × x = 81 × 3

x = (81 × 3) ÷ 3/4

x = 243 × 4/3

x = 324 calories per cup

There are 324 calories in 3 cups of cereal

Answer:

1 and 3- vertical angles

5 and 8- linear pair

2 and 6- corresponding angles

Step-by-step explanation:

Answer: equals 17

Step-by-step explanation:

Answer:

The answer is = for 17 and |17|

Answer:

13 9/14

Step-by-step explanation:

Add the blue + red fabric

1. Make the denominator the same

6 7/14 + 7 2/14

2. Add

6 7/14 + 7 2/14 = 13 9/14

Answer:

13 9/14

Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest

Answer:

0.000425 and 62570000000.

Step-by-step explanation:

Answer:

1) 425000

2) 62.570000

Step-by-step explanation:

There are 5 under the 10.

1) 10 x 10 x 10 x 10 x 10 = 100000

100000 x 4.25 = 45000

2) There are 7 under the 10.

10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

10000000 x 6.257 = 62.570000.

If you don't understand, count the "0's" and times then by 1 and 0's.

Answer:

answer is 0.2341701 your welcome

Answer: C. best fits the word problem.

Step-by-step explanation:

The reason C. best fits is because the bare minimum $20 she has to pay plus .10 times whatever amount of minute's she spends talking has to equal $100 for her to stay in budget. A good example would be say she spends 800 minutes in total on her phone. 0.10 times 800 is 80. So in this hypothetical situation, it would be 20 + 80 = 100.

Answer:

67

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

x + 55 = 90 (Right angle triangle)

x = 90 - 55

x = 35

Please mark as brainliest.

Answer:

m=0.8

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

1.4-0.6=m