One side of a triangle is 5 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 7 units and 9 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal

Please explain your answer.

Answers

Answer 1

The perimeter of the triangle described in statement has a measure of 56 units long.

How to determine the perimeter of a triangle

After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:

[tex]\frac{x}{7} = \frac{x+5}{9}[/tex]   (1)

Now we solve the expression for x:

9 · x = 7 · x + 35

2 · x = 35

x = 17.5

And the perimeter of the triangle is determine by summing the three sides:

p = 9 + 7 + (17.5) + (17.5 + 5)

p = 56

The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823

One Side Of A Triangle Is 5 Units Longer Than A Second Side. The Ray Bisecting The Angle Formed By These

Related Questions

what is the correct answer to this?

Answers

Answer:

1.4 meters

Step-by-step explanation:

Given,

Volume of rectangular prism ( V ) = 18.144 cubic meters

Width ( w ) = 2.7 m

Length ( l ) = 4.8 m

To find : d

Here, d is Height ( h ).

Formula : -

V = whl

18.144 = 2.7 x 4.8 x d

18.144 = 12.96 x d

d = 18.144 / 12.96

d = 1.4 meters

[tex] \huge\fbox\green{ANSWER} [/tex]

[tex]v = l \times w \times h[/tex]

[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]

[tex]18.144 {m}^{3} = 12.96 \times d[/tex]

[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]

[tex]1.4m = d[/tex]

Which value would make the inequality 4.5d > 31.5 true?
A. d=8
B. d=7
C. d=6
D. d=5

Answers

Answer:

d=8

Step-by-step explanation:

4.5(8)>31.5 works because 36>31.5

If p
=
1
2
, q
=

1
3
and r
=
1
5
, evaluate the following expression:
30
p
q
r
(
p
+
q
+
r
)
(
p
+
q
)
(
p
+
r
)

Answers

Answer:

26535600

Step-by-step explanation:

This took so much work to get into a format I could read hahaha!

I hope it helps!

30 x 12 x -13 x 15(12+-13+15)(12+-13)(12+15) = 26535600

pls help me. Will give 30 points and brainliest if you tell me how. I need 2 and 4. PLS HURRY

Answers

2. 2l has to be less than or equal to 108-40

This is because the garden is a rectangle, meaning that the 2 widths and 2 heights will be the exact same.

So, if the width is 20 and there are 2 “width” sides of a rectangle, the total perimeter - 40 will give you length of the 2 other sides, combined. This is why 2x the length has to be less or equal to 108-40.


4. 0.25

Mika does 3 things everyday for 5 days, which takes 7.5 hours.

So, 7.5 / 5 = time spent doing 3 things everyday

Mika spends 1.5 hours everyday cleaning, tuning, and playing.

BUT,

The question is asking how long she spends JUST cleaning and tuning.

It also tells you that he practices for 1.25 hours everyday.

So, if he takes 1.5 hours to do all 3 things and practices for 1.25,

1.5 - 1.25 = 0.25

She does spends 0.25 hours everyday cleaning and tuning.

Help please!! Thank you!! :)
Let m = x^2+3
Which equation is equivalent to (x^2+3)^2+7x^2+21=-10 in terms of m?
A. m^2+7m+10=0
B. m^2-7m+10=0
C. m^2+7m+31=0
D. m^2-7m+31=0

Answers

Answer:

  A.  m^2+7m+10=0

Step-by-step explanation:

This is a problem in pattern matching, and in substituting a variable for a pattern.

  (x^2+3)^2 +7x^2 +21 = -10 . . . . . . given

  (x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms

  m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3

  m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A

Can someone please help me with this question? ​

Answers

Answer:

x< -6 or x > 0 (C is correct for question 1.) x ≤  2  (C is correct for question 2)

Step-by-step explanation:

You have given me 2 questions:

| x + 3 | + 7 > 10

3x + 6 ≤ 12

Let's solve the first one:

| x + 3 | + 7 > 10

Before we start, the greater-than sign means that the point on the number line has to not be filled in.

| x + 3 | + 7 > 10        

**Along with this equation you need to do a negative one meaning you need to flip the sign to a less than one and make 10 and 7 negative.

| x + 3 | - 7 < -10

| x + 3 | + 7 > 10

**Notice that this one is the original one.

Subtract 7 both sides

| x + 3 | > 10 -7

Now do 10-7

| x + 3 | > 3

Now subtract 3 both sides

x > 0

The negative case:

| x + 3 | - 7 < -10

Add 7 both sides

| x + 3 | < -10 + 7

Do -10 + 7

| x + 3 | < -3

Subtract 3 both sides

x < -3-3

Solve -3-3

x < -6

Your inequalities:

x< -6 or x > 0

The or statement is for greater than and the "and" is for less than.

Answer Choice C is correct.

Next Question:

3x + 6 ≤ 12

**Before we do anything, we have a less than or equal sign**

The point will be filled on the number line.

This is a typical inequality two-step:

3x + 6 ≤ 12

Subtract 6 from both sides

3x ≤ 12-6

Do 12-6

3x ≤ 6

Now divide 6 by 3

x ≤  2  

Answer Choice C is correct.

Find 3 irrational numbers between 1/3 and 3/8

Answers

Answer:

4/24,,,5/24,,7/24

hope it helps u

When solving, at what point do you know that your solutions are imaginary? Does x^2 +9 =0 have real or imaginary solutions? How do you know?

Answers

Answer:

Real solutions

Step-by-step explanation:

I know that because I am smart

x^2=-9
x= root of negative 9
this means the answer is imaginary because a root of a number CAN’T be negative, which makes root of negative 9 an imaginary number therefore we call it an imaginary answer

can someone help me with this

Answers

What do you need help with???!!

A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models the cost of a box with side lengths as shown (measured in inches).
Identify a reasonable domain and range for the function.

Answers

So the function is

[tex]\\ \rm\rightarrowtail y=4.5x^2[/tex]

As we know

x²≥0x≥0

hence domain is

[tex]\\ \rm\rightarrowtail D_f\in R[/tex]

Least value of function is at x²=0 i.e 0

Hence range:-

[tex]\\ \rm\rightarrowtail R_f\in [0,\infty)[/tex]

James has 16 balloons . 1/4 of his ballons are red. How many red ballons does he have

Answers

Answer:

James has 4 red balloons

Step-by-step explanation:

16 × 1/4 = 4

You could also say 16 ÷ 4 = 4

Hope that helps!

Which ratio below is equivalent to the ratio 7 : 350?

Answers

1:50 because (7/350)/7 = 1:50

Answer:

7/350 7 to 350

Step-by-step explanation:

there are 3 ways to write a ratio

:

to

/

-3.28+4.4-9.7

fdsafdsa

Answers

Answer: -8.58

Explanation

we add -3.28+-9.7

-(12.98 - 4.4) = -8.58

Please Help! Will Give Brainlest!

Answers

Answer:

[tex] \frac{ - \sqrt{3} }{2} [/tex]

Step-by-step explanation:

First, we find the coterminal angle of

[tex] \frac{ - 8\pi}{3} [/tex]

to do that, first, convert this into degrees.

[tex] \frac{ - 8\pi}{3} \times \frac{180}{\pi} = - 480[/tex]

Know, continously add 360 until we get our first positve number,

[tex] - 480 + 360 = - 120[/tex]

[tex] - 120 + 360 = 240[/tex]

So our coterminal angle is 240.

We need to know sin (240), the y value of sin (240) will gives us our answer.

That answer is

[tex] \frac{ - \sqrt{3} }{2} [/tex]

Convert 0.595 to a fraction in simplest form

Answers

0.595

= 595/1000

= 119/200

what will be the answer to 20 x 20

Answers

Answer:

400

Step-by-step explanation:

you can do 2x2 and you get 4 then add the zeros

If ur multiplying 20 by 20 it’s 400
Other wise I’m not sure if that’s the question you are asking

PLEASE HELP!! It's due tomorrow and I don't understand it..

Answers

Do you need help with a specific one or all of them?

You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.75% and 1 time
5.7% and 4 times
1.75% and 16 times
5.7% and 16 times

Answers

Answer:

1.75% and 16 times

Step-by-step explanation:

Compound interest formula:

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

A = final amountP = initial principal balancer = annual interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods

Given:

P = $600r = 7% = 0.07n = 4t = 4

Substituting given values into the formula:

[tex]\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}[/tex]

          [tex]\sf =791.9576107...[/tex]

Equivalent interest rate:

[tex]\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%[/tex]

Number of times compounded:

[tex]\sf \implies nt=4 \times 4=16[/tex]

Find the value of X

And tell whether the side lengths form a Pythagorean triple

Answers

Answer:

8 and yes

Step-by-step explanation:

c² - b² = a²

100 - 36 = a²

64 = a²

a = 8

the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.

Lacie bought a $20 shirt that was marked down 30%. what did she pay after tax of 6% was added to the price of the shirt?

Answers

Answer:

14.84

Step-by-step explanation:

20*(6%+1)*(1-30%)

20*(0.06+1)*1-0.3)

20*1.06*0.7

14.84

what is y=-2x+5 as standard form

Answers

Answer:

2x + y = 5

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - 2x + 5 ( add 2x to both sides )

2x + y = 5 ← in standard form

Answer:

 y=-2x+5 as standard form is 2x+y=5

Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39, and the second boat travels 4 knots at a bearing of S87°W. 2 degrees * E a. How far apart are the boats at the end of 2 hr? b. What is the bearing from the first boat to the second boat at that time?

Answers

For the first boat, 6 knots at a bearing of N39, and for the second boat  4 knots at a bearing of S87°W.  the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as

V'=22.93KmB=132°

What is the distance b/w the boats at the end of 2 hr and the bearing of 1st to 2nd boat?

Generally,  the Relative speed  is mathematically given as

V=\sqrt{4^2+6^2+2(4)(6)cos(48)}

V=\sqrt{52+48(0.669)}

X=9.17Knots

Hence, distance b/w the boats

V'=9.17Knots*2

V'=18.34

V'=22.93Km

In conclusion, the bearing of 1st to 2nd boa ist

B=39+90+(90-87)

B=132°

Read more about Speed

https://brainly.com/question/4931057

Answer.. below: . . .
. . . . . ....
.
.
.

3/12 + 239/12 =
2309/23 + 32/32=
34/234 + 349/234=
23/23-11/23=
57/78-32/78 =

Answers

Answer:

3/12 + 239/12 = 20.16...

2309/23 + 32/32= 101.39

34/234 + 349/234=1.64

23/23-11/23= 0.52

57/78-32/78 = 0.32

Step-by-step explanation:

Just divide both sides first and then add, so it is easier to get your answer.

My answers are all rounded or repeated.

I hope this helps!

-No one

Answer/Step-by-step explanation:

3/12 + 239/12

3 + 239 = 242

242/12 = 20 1/6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Find common multiplier

2309/23 + 32/32

Add

2332/23

Mixed Fraction

101 9/23

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

34/234 + 349/234

23 + 349 = 383

383/234

Mixed Fraction

1 149/234

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

23/23-11/23

23 - 11 = 12

12/23

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

57/78 - 32/78

57 - 32 = 25

25/78

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

1. Find the length of the arc shown in red:

2. Find the area of the circle:

Answers

Answer:

Step-by-step explanation:

Ms. Lynch drove her new car
50000000 fast (12 miles in 6 mins.)
that she nearly scared Ms. Allen to
death; who was riding in the car.
What is her speed in miles per hour?

Answers

Answer:

120 miles/hour

Step-by-step explanation:

6 x 10= 60 min

12 x 10= 120 miles

Answer:

Definitely 120 miles per hour.

Step-by-step explanation:

First, if she drove 50,000,000 fast, you need to do 6 minutes x 10 because 10 can go into 50,000,000. So, yes, it's 60. But that isn't right... it's too short. Try the next one.

How about we do the miles. 12 miles x 10 will get you your answer; 120.

I honestly don't know what I'm doing. It most likely isn't 120, but I did the math, and it was hard.

Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)

Answers

Answer:

x⁴ - 8x² + 9

Step-by-step explanation:

The Area of the smallest square is A1 = x . x = x²

The Area of the second square is A2 = ( x² - 3 )(x² - 3)

A2 = x⁴ - 3x² - 3x² + 9

A2 = x⁴ - 6x² + 9

The Area of the Shaded shape is A2 - A1

x⁴ - 6x² + 9 - x²

x⁴ - 8x² + 9

Two angels are called complementary when their measures add to 90. Two angels are called supplementary when their measures add up to 180 degrees

Answers

Answer:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.Jun 5, 2017

Step-by-step explanation:

Luna~

Find the equation of the line that is perpendicular to the line Y equals negative 4X -4 and passes through the point -2, -4. Write the equation in point slope form

Answers

hello!

======================================================

Perpendicular lines have slopes that are opposite reciprocals.

This means we take the slope, flop it over, and change its sign.

In this case, we have

[tex]\boxed{-4}[/tex]

First, flop it over:

[tex]\boxed{-\frac{1}{4}}[/tex]

Change its sign:

[tex]\boxed{\frac{1}{4}}[/tex]

Now, let's write the equation of the line in point-slope form:-

[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]

Where

y₁ is the y-coordinate of the point that the line intersects

m is the slope of the line

x₁ is the x-coordinate of the point that the line intersects

In this case,

y₁ is equal to -4

m is equal to  [tex]\boxed{\frac{1}{4} }[/tex]

x₁ is equal to -2

Plug in the values:-

[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]

Simplify:-

[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]

and we're done!

===========================================================

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

What is the maximum age of the youngest 25% of the passengers?

Answers

Using the percentile concept, it is found that the maximum age of the youngest 25% of the passengers is of 30.

What is the percentile concept?

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

Researching the problem on the internet, it is found that the distribution of the ages is described by a box and whisker plot, which states that:

The 25th percentile is of 30.The median is of 45.The 75th percentile is of 60.

Hence, the maximum age of the youngest 25% of the passengers is of 30.

More can be learned about the percentile concept at https://brainly.com/question/24495213

please help me! I will make whoever answers brainiest! please help it's for a test!

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.

1
0
3
4
2

6(2a − a + 1) = 24

4 + 3(a + 2) = 16

3a − 2a − 4 = 0

2a + 3(a + 1) = 8

Answers

Answer:

6(2a-a+1)=24 =(3)

4+3(a+2)=16 =(2)

3a-2a-4=0 =(4)

2a+3(a+1)=8 =(1)

Step-by-step explanation:

6(2a-a+1) =24

6(2a-a+1) =2412a-6a+6 =24

6(2a-a+1) =2412a-6a+6 =246a =24-6

6(2a-a+1) =2412a-6a+6 =246a =24-66a= 18

6a/6= 18/6

a = 3

4+3(a+2)=16

4+3a+6=16

3a+10=16

3a=16-10

3a=6

3a/3=6/3

a=2

3a-2a-4=0

a-4=0

a=0+4

a=4

2a+3(a+1)=8

2a+3a+3=8

5a+3=8

5a=8-3

5a=5

5a/5=5/5

a=1

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