Mathematics College

9x + 4

8x - 4

4x + 17

If the perimeter is 374 units, find the value of x and the area of the triangle.

The value of x is

The area is

square units.

Answers

Answer 1

Answer:

x = 17

Area = 10,362units²

Step-by-step explanation

Given the sides of the triangle

S1 = 9x+4

s2 = 8x-4

S3 = 4x+17

Perimeter of the triangle is the sum of all the sides

P = S1+S2+S3

374 = 9x+4+8x-4+4x+17

374 = 21x+17

21x = 374-17

21x = 357

x = 357/21

x = 17

Hence the value of x is 17

Area of the triangle is 1/2bh

A = 1/2bh

b is the base

h is the height

Let the base be 9x + 4 and height be 8x-4

b = 9x+4

b = 9(17)+4

b = 153+4

b = 157units

h = 8x-4

h =8(17)-4

h = 136-4

h = 132

Area = 1/2 * 157 * 132

Area = 157*66

Area = 10,362units²

Related Questions

Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,
and his son drove 7,997 miles. Martin drove the rest. How many miles did Martin drive?
Show work.

Answers

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

what linear equation in slope intercept from does this graph represent?​

Answers

Answer:

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Step-by-step explanation:

The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.

Let's substitute in our points.

[tex]\frac{150-100}{3-0}[/tex]

Simplify.

[tex]\frac{50}{3}[/tex]

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].

We'll put that in our equation for a line and...bam!

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Someone please help me

Answers

Answer:

them some expensive pencils

(8x-17)(5x+19)
Find the converse and x

Answers

[tex](8x-17)(5x+19)\\40x^{2}+152x-85x-323\\ 40x^{2}+67x-323[/tex]

3/4 divided by 1/2

Step by step explanation

Answers

Answer:

1.5

Step-by-step explanation:

When we divide two fractions, such as 3/4 ÷ 1/2, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

Answer: 3/2 or 1 and 1/2

Step-by-step explanation: Remember that dividing by a fraction

is the same thing as multiplying by the reciprocal of the fraction.

The reciprocal of a fraction is just that fraction flipped.

So 3/4 ÷ 1/2 can be rewritten as 3/4 × 2/1.

Before multiplying however, notice that we

can cross-cancel the 2 and 4 to get 1 and 2.

Finally, multiplying across the numerators and

across the denominators, we have 3/2 or 1 and 1/2.

Allan writes down n positive integers so that the sum of those numbers is 23. When he multiples those numbers, he gets the maximum result. List all of the n positive integers that Allan has written.​

Answers

Answer:

3, 3, 3, 3, 3, 3, 3, 2

Step-by-step explanation:

To get maximum product we need to optimize how we break down the numbers

Its obvious we don't want number 1 to be used as it won't change the product

Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10

What is best number?

2 and 3 are the smallest, 4 can be written as two 2's5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 56 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 67 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater product

So the best is to break the number down to 2's and 3's

23 = 2*10 + 3 ⇒ 2^10*3 = 307223 = 3*7 + 2 ⇒ 3^7*2 = 4374

As we see the maximum product we can get is 4374 with seven 3's and one 2.

Hence the numbers are:

3, 3, 3, 3, 3, 3, 3, 2

Answer:

your answer should be     3, 3, 3, 3, 3, 3, 3, 2

Ok I’ll ask again cuz one of them said tomorrow and I should watch Jojo something lol so here’s the question shall I k^^* myself today or tomorrow

Answers

Answer:

never:)

Step-by-step explanation:

Answer:

Never! You are loved and have a purpose in life. Times may be hard at the moment but everything will get better.

Step-by-step explanation:

Consider the following problem: There are 722 identical plastic chips numbered 1 through 722 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 552

Answers

Answer:

Probability of reaching Chip number 552 = 1 / 722

Step-by-step explanation:

Given:

Total number of chips = 722

Chip number selected = 552

Computation:

Probability of reaching Chip number 552 = Number of chip selected / Total number of chips

Probability of reaching Chip number 552 = 1 / 722

Write the equation of the line graphed below. ​

Answers

Answer:

Because the line has no slope, we can define this line very simply as:

y = 3

What 12x12 I need help please help me

Answers

Answer:

144

Step-by-step explanation:

-0- Easy :D

which list shows the numbers in order in which they would appear from left to right on the number line ​

Answers

maybe give more info?

For the equation, decide if it is always true or never true.

x − 3 = 2x − 3 − x

Answers

Answer:

true

Step-by-step explanation:

WILL GIVE BRAINLIEST PLS HELP
An action figure is 5 inches tall. If the toy company modeled the action figure off of a TV star that is 6 feet 3 inches tall. What ratio did they use?
A. 15 inches = 1 inch
B. 14 inches = 1 inch
C. 14.4 inches = 1 inch
D. 1.6 inches = 1 inch

Answers

Answer:

a

Step-by-step explanation:

a six sided cube is rolled. find the probability of P (4) as a decimal

Answers

Answer:

.66

Step-by-step explanation:

Helppppppppppp me i need the answer

Answers

Answer:

Step-by-step explanation:

i think its embryonic

3.5x = 20 Round to nearest hundredths
place

Answers

Answer:

5.71

Step-by-step explanation:

x = 20/3.5 = 5.71

Please Help ASAP!! ❤️ ​

Answers

Answer:

Step-by-step explanation:

*a is 6:55

*b is 37

*c is 15:12

In 1992, there were approximately 141 million births and 49 million deaths worldwide. What was the
change in the world's population?

Answers

Answer:

The population increased by 92 million.

Step-by-step explanation:

141 - 49 = 92

Can somebody help me on this ?

Answers

Answer:

drag the protactor so that the the bottom, middle line is centered in point B, and the bottom edge is flat against line BC

the angle will be whatever number AB lines up with on the outer ring (the big numbers)

Step-by-step explanation:

Simplify the following expression:

3b+5-9b-9+6b

Answers

Answer:

3(3+2b)

or

2b +9

Step-by-step explanation:

Answer:

Step-by-step explanation:

3b+5-9b-9+6b

=3b+6b-9b+5-9=-4

Round 0.71 to the nearest tenth.
0.5
0.7
0.75
0.8

Answers

Answer:

0.7

Step-by-step explanation:

This one is simply pretty easy. the 7 in this is in the tenths place, and the 1 in this is in the hundredths place

0.7 it is rounded to the nearest tenth

please help. im pretty stumped

Answers

Answer:

-

you write the answer here

Step-by-step explanation:

and explain here

The basketball team went out for pizza after their championship game.
The total bill was $125. The tax rate was 7%. The coach left a 25% tip for the waitress because she worked very hard serving all of the kids.
Determine the total bill.

Answers

Answer:

$165

Step-by-step explanation:

Find what 7% of $125 is. (Multiply 125 times .07)

Find what 25% of 125 is (Multiply 125 times .25)

Add everything together

You get an answer of $165

Hope I helped!! :)

Pls mark brainliest!!!

using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction. ​

Answers

Answer:

First, we can write a fraction as a/b

Where a is the numerator, and b is the denominator.

A proper fraction is a fraction where the numerator is smaller than the denominator.

Using only the given numbers (only once per fraction), some examples of proper fractions are:

3/5

3/8

5/8

3/85

3/58

5/83

5/38

8/35

8/53

You can see that in all of them the denominator is larger than the numerator.

The improper fractions are those where the numerator is equal or larger than the denominator.

The 9 examples using the given numbers are:

5/3

8/5

8/3

35/8

38/5

53/8

58/3

83/5

85/3

HELLLLLLPPPPPPPP plz need rest

Answers

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a parallelogram must be parallel to each other, and this is shown by the equivalent opposite interior angles on each side of the bisector.

Since the opposite sides of a parallelogram are parallel, they must be of equal length (this is one of the fundamental properties of a parallelogram).

Therefore, we can set (18x - 5) and (16x + 5) equal to each other in an equation and solve for x.

18x - 5 = 16x + 5

Subtract 16x from both sides.

2x - 5 = 5

Add 5 to both sides.

2x = 10

Divide both sides by 2.

x = 5

The value of 5 for x must make ABCD a parallelogram.

please help me i’ll mark brainliest, comment, and rate 5 stars

Answers

Answer:

c...........................

can someone explain because im confused

Answers

Answer:

I'm pretty sure it is yes

Step-by-step explanation:

7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.

Two pounds of grapes cost $6. How many pounds of grapes cost $1? *

Answers

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Tis will be your answer :D

Someone please help me with this!!

Answers

Answer:

Its A

Step-by-step explanation:

14.976 divided by 6 with remainder

Answers

Answer:

0

Step-by-step explanation:

it's divided evenly with no remainder

0 no remainder !! Ndnehensbebe
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