In triangle, HIJ, HI = 48, and IJ = 27. What is the range of values for the length third side?

Answers

Answer 1

Answer:

The range is between 21 and 75

Step-by-step explanation:

"The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side."

Any two sides of of a triangle added together cannot be equivalent to or less than the length of the third side. Knowing this, we can figure out the range. If you add 48 and 27, you get 75.  We know 75 is the top of the range, the length of the third side cannot be 75 or greater. Going the other way, if you assume that the third side is one of the smaller ones, you can identify 48 as the largest value. If you subtract 27 from 48 you get 21, so the length of the third side cannot be 21 or lower.

This gives us the range. Just keep this rule in mind. Hope this helped!

Answer 2

Answer:

21 < HJ < 75

Step-by-step explanation:


Related Questions

Write a scientific notation in standard form 125.41

Answers

Answer:

1.2541 x^2

Step-by-step explanation:

find the x, if the three angles of an equilateral triangle are 45°, 2x+7°, 45°​

Answers

Answer:

19

Step-by-step explanation:

2x+7=45

2x=38

X=19

I hope this helps

Find the geometric mean of 3 and 48.

Answers

three geometric means between 3 and 48 are 6, 12 and 24.

Some one help me pls

Answers

Answer:

27

Step-by-step explanation:

PEMDAS : PARENTHESIES, EXPONENTS, MULTIPLY, DIVISIOIN, ADD, SUBTRACT

14/2 + 20

7 +20=27

A plane takes off from an airport and travels at a steady speed of 350 miles per hour. Which of these graphs best represe
the airport, y, after traveling for x hours?
FLIGHT OF AIRPLANE

Answers

Answer:

A

Step-by-step explanation:

I found the answer

Does anybody know what 4/5 as a percentage?

Answers

80% because 4 is 80% of 5

Answer:

4/5 is 80 as a percentage because 0.8 is written as 80% in percentage.

2) Does the pair of ratios form a proportion? *
3 points

Yes
No

Answers

Answer:

e

Step-by-step explanation:

1) "teacher" wants to build a rectangular dog bowl stand. The top of it will have a perimeter 55 1/2 inches. The length is twice as long as the width. What are the dimensions (length and width) of the top of the dog bowl stand? (Note: Your answer should be in fraction form, not a decimal.) 2) During their basketball game, "teacher 1" shoots twice as many airballs as "teacher 2". "teacher 3" shoots 4 airballs less than "teacher 2". If they shot 24 airballs together, how many airballs did each teacher shoot?

Answers

Answer:

1)

[tex]L=18 \frac{1}{2} in[/tex]

[tex] W= 9 \frac{1}{4} in[/tex]

2)

[tex]T_{1}=14 balls[/tex]

[tex]T_{2}=7 balls[/tex]

[tex]T_{3}=3 balls[/tex]

Step-by-step explanation:

In order to solve this problem, we need to build the equations we need. Since there are two values we want to figure out (length and width) we will then need two equations to solve simultaneously.

First, the problem tells us that the perimeter is 55 1/2 in, which can be rewritten as an improper fraction:

[tex]55 \frac{1}{2}= \frac{55*2+1}{2}= \frac{111}{2}[/tex]

Next, we also know the perimeter of a rectangle is found by using the following formula:

P=2L+2W

where L is the length of the rectangle and W is its width.

So our first equation will look like this:

[tex]2L+2W=\frac{111}{2}[/tex]

Next, the problem tells us that the width of the rectangle is twice its width, so our second equation will look like this:

L=2W

which can be substituted into our first equation:

[tex]2L+L=\frac{111}{2}[/tex]

Now, we can solve this for L, so we get:

[tex]3L=\frac{111}{2}[/tex]

[tex]L=\frac{111}{2*3}[/tex]

[tex]L=\frac{111}{6}=18 \frac{3}{6}=18 \frac{1}{2}[/tex]

so we can now use this information to find its width:

L=2W

[tex] \frac{111}{6}=2W[/tex]

so

[tex]W=\frac{111}{6*2}[/tex]

[tex]W=\frac{111}{12}=9\frac{3}{12}=9\frac{1}{4}[/tex]

2)

When solving this problem it is a good idea to split it into little chunks of information. The first sentence says:

"... "teacher 1" shoots twice as many airballs as "teacher 2"."

This can be translated as an equation like this:

[tex]T_{1}=2T_{2}[/tex]

The next sentence says:

""teacher 3" shoots 4 airballs less than "teacher 2"."

This can be written as an equation like this:

[tex]T_{3}=T_{2}-4[/tex]

and finally, the problem states: "... they shot 24 airballs together,..."

This can be written as an equation like this:

[tex]T_{1}+T_{2}+T_{3}=24[/tex]

so now we can do substitutions. We can take the first and second equations and write them into the third equation so we get:

[tex]2T_{2}+T_{2}+T_{2}-4=24[/tex]

so now we can solve this equation for [tex]T_{2}[/tex], so we get:

[tex]2T_{2}+T_{2}+T_{2}=24+4[/tex]

[tex]4T_{2}=28[/tex]

[tex]T_{2}=\frac{28}{4}[/tex]

[tex]T_{2}=7[/tex]

and once we got this answer, we can find the remaining two answers:

[tex]T_{1}=2T_{2}[/tex]

[tex]T_{1}=2(7)[/tex]

[tex]T_{1}=14[/tex]

and

[tex]T_{3}=T_{2}-4[/tex]

so we get:

[tex]T_{3}=7-4[/tex]

[tex]T_{3}=3[/tex]

Answer:

1)

Step-by-step explanation:

1)

The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is a.√3 m b.2√3 m c.5√3m d.10√3 m

Answers

Answer: d

Step-by-step explanation:

Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower.  The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.

Given:

b = a · tanβ

tan(30°) = √3/3

Step 1:  Solve

b = (30/1) · (√3/3)

b = (30 · √3) / (1 · 3)

b = (30√3) / (3)

b = 10√3

2^8 in standard form

Answers

Answer: 256

Step-by-step explanation:

2^8=2*2*2*2*2*2*2*2=256

please help, brainliest, five star, thanks

Answers

Answer:

-18+4

Step-by-step explanation:

try to multiply -6 into the (3x-2/3) then I guess you get the answer

Answer:

−18x+4

Step-by-step explanation:

If u answer this correctly u get brainliest.

Answers

Answer: 4 and 5

Step-by-step explanation: supplementary is 2 angles that sum up to 180 degrees

Answer:

Angle 4 and angle 5

Step-by-step explanation:

Supplementary means that both angles add up to 180 degrees

PLEASE HELP ME OUT I DONT UNDERSTAND

Answers

1. y=3/7x+8 , slope is 3/7 y int is (0,8)

Please answer fast!!! 45 Points!!!

Which of the following groups of side lengths could form a right triangle?

A. 20 cm, 99 cm, 101 cm
B. 4 cm, 5 cm, 6 cm
C. 25 cm, 50 cm, 75 cm
D. 30 cm, 60 cm, 90 cm

Answers

Answer:

D because a right degree angle needs to be 90 degrees

Step-by-step explanation:

Brainliest?

Answer:

it is d because none of the others have 90 degrees (hint a right angle is 90 degrees) hope this helps at all?!

Step-by-step explanation:

100 times 90 times 5 plus 5

Answers

Answer:100 times 90 times 5 plus 5 is

Step-by-step explanation:45005 plz give brainlyist i Need it

find the power of questions​

Answers

Answer:

To the 4th power

Step-by-step explanation:

can someone help me

Answers

Answer:

its a right angle

Step-by-step explanation:

Right angles have a 90* angle, which is why they add that little square

Maddie's office recycled a total of 12 kilograms of paper over 4 weeks. How many weeks will it take Maddie's office to recycle a total of 15 kilograms of paper? Assume the relationship is directly proportional.

Answers

Cidoxodoydotcoddiditxigxivocttcoyocot to ot

The sum of three consecutive multiples"
of 8 is 192. Find the multiples.​

Answers

Answer:

7,8,9

Step-by-step explanation:

192/8=24

X+(x+1)+(x+2)=24

3x+3=24

3x=21

x=7

so it’s 7,8,9

the more recent question you asked steps

Apply the fractions formula for multiplication, to

13×45

and solve

1×43×5

=415

Therefore:

13×45=415

Step-by-step explanation:

State the slope and y-intercept of y=-2x-5

Answers

Answer:

the slope is 2, the y intercept is -5

Step-by-step explanation:

Answer:

the slope is -2

and the y-intercept is -5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Jessica wants to spend less than $50.00 per month on her cell phone bill. Write an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $50.00. Use the symbol for your inequality.

Answers

Missing part of question:

Jessica pays a flat rate of $20 for her cell phone and is charged $0.05 for every text she sends.

Answer:

20.00 + 0.05x < 50.00

Step-by-step explanation:

Given

Base Amount = $20

Rate = $0.05 per text

Budget = Less than $50.00

Required

Write an inequality that represents the scenario

Let x represents the number of texts

To solve this, the base amount when added to the amount paid for x text must be LESS THAN Jessica's budget.

Mathematically, we have:

Base Amount + Rate * x < Budget

Substitute values for Base Amount, Rate and Budget, this gives:.

20.00 + 0.05 * x < 50.00

20.00 + 0.05x < 50.00

Hence, the inequality that represents the scenario is 20.00 + 0.05x < 50.00

Solving further for x, we have:

20.00 + 0.05x < 50.00

Collect Like Terms

0.05x < 50.00 - 20.00

0.05x < 30.00

Solve for x

x < 30.00/0.05

x < 600

This means that she must send less than 600 text messages.

Mary is standing out on the balcony of her apartment which is 40 feet above the ground and looks up at a 31° angle to see her friend Sue who is standing on her balcony. If Mary and Sue's apartments are 20 feet apart from one another, how high off the ground is Sue?

Answers

Answer:

52 feet

Step-by-step explanation:

This situation can be represented by the attached figure as in the answer area.

Let M be the location of Mary.

Let S be the location of Sue.

Distance between apartments is given as 20 feet.

Distance between ground and balcony of Mary is 40 feet.

There is a right angled [tex]\triangle MOS[/tex].

[tex]\angle OMS = 31^\circ[/tex]

To find:

The distance SO + 40 feet.

We can use tangent ratio here in right angled [tex]\triangle MOS[/tex].

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tan31^\circ = \dfrac{SO}{MO}\\\Rightarrow tan31^\circ = \dfrac{SO}{20}\\\Rightarrow SO=20\times 0.6\\\Rightarrow \bold{SO=12\ ft}[/tex]

Height of Sue above ground = 40+12 = 52 feet

What is Jamal weight in kilograms if he weighs 156 pounds? Round to the nearest 10th if necessary

Answers

Answer:

70.7604097 in kilograms rounded would be 70.8 kilograms

Step-by-step explanation

what's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units

Answers

20 units is the length of the other leg.

HELP URGENT I NEED THIS FAST!!!

Answers

Answer:

C. 10

Step-by-step explanation:

Answer:

C= 10

Step-by-step explanation:

Subtract 5x2 - 7x - 6 from 9x2 + 3x – 4.

Answers

-7x+4 i’m not sure if it’s correct but i hope it is. sorry if it’s not

Someone please help

Answers

-1,-1



Hope this helpppssss

Solve for w.
5w/8 = 15
solve step by step with a good explanation.
if you get this correct and solve step by step then i will mark you brainliest!

Answers

Answer:

w = 24

Step-by-step explanation:

[tex]\frac{5w}{8}[/tex] = 15

Multiply both sides by 8.

5w = 15 × 8

     = 120

Find w.

w = 120 ÷ 5

w = 24

Answer this math question and ill give you brainliest

Answers

Answer:

27

Step-by-step explanation:

bhdhdhhdhddfdfffjdudhfjf 27

WILL GIVE BRAINLIEST graph y=-x+2 using the x and y intercepts (show your work pls)

Answers

Answer:

Look down!!

Step-by-step explanation:

Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.

Ex.

4=2+2

y=4

x=2

Hope this helps!!

Answer:

Step-by-step explanation:

the y intercept would be 0,2

to find the x intercept plug in a 0 for y

0=-x+2

-2=-x

x=2

the x intercept would be 2,0

so 2,0 0,2 plot those points and draw a line through that. would look something like this

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