In a right triangle, the measures of the legs are 8 and x + 6,
and the measure of the hypotenuse is x + 8. Find the value of x.

Answers

Answer 1

See the attached image for the steps.

x = 9.

Identities used :-

(a + b)² = a² + 2ab + b²

Theory used :-

Pythagorean theorem (Hypotenuse² = Base² + Altitude²).

______

RainbowSalt2222 ☔

In A Right Triangle, The Measures Of The Legs Are 8 And X + 6,and The Measure Of The Hypotenuse Is X

Related Questions

- The point A(8, – 7) is reflecteabver the origin and its image is point B. What are the coordinates of point B?​

Answers

Answer: Definitely point A

Step-by-step explanation:

geomtry plz help 15 points

Answers

Answer:

m∠A=88°

Step-by-step explanation:

∠ABC=∠ACB=46° (base angles of isos triangle)

           ∠BAC=180°-46°-46° (angle sum of triangle)

                     =88°

According to the Isosceles Triangle Theorem, if two sides of a triangle are congruent, then the angles opposite of those sides are congruent.

Therefore, in the triangle from the picture, m
Now applying the Triangle Sum Theorem, all interior angles of a triangle must sum up to 180°.

Therefore, m
We can create an Algebraic equation to find the angle measure of angle A because we know the angle measures of angles B and C, and we know all three angles must sum up to 180°.

46+46+x=180

x = the measure of angle A

92+x=180

92-92+x=180-92

x=88

Therefore, the measure of angle A is 88°.

When 5,708,100,000 is written in scientific notation, the decimal number will be multiplied by which power of 10?
the eighth power of 10
the ninth power of 10
the tenth power of 10
the eleventh power of 10

Answers

Answer:

ninth power of 10

Step-by-step explanation:

count the number of digits then subtract 1

Answer:

ff

Step-by-step explanation:

Use the quadratic formula to find both solutions to the quadratic equation given below. Check all that apply. 2x2 – 3x + 1 = 0​

Answers

Answer:

5/4 and 7/4 are the two solutions.

A 300 m long wire is used to fence a rectangular plot whose length is twice it’s width. Find the length and breadth of the plot.

Answers

Width=50m and length=100m

Find two solutions of y=2x-3
Point 1: (x,y) --->
Point 2: (x,y) --->

Answers

The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.

Point 1: (0,-3)

Point 2: (1,-1)

Determine which of the following graphs does not represent a function.
Determine which of the following graphs does not represent a function.

Answers

Answer: The graph I have attached an image of does not represent a function.

Step-by-step explanation:

This is because if we take the vertical line test, which is to draw a vertical line through any point of the x-axis. If the line passes through two points when it is vertical, the line doesn't represnt

a function.

Answer:

The correct answer goes from the 1st quadrant to the 4th quadrant.

Step-by-step explanation:

~Hope this helps!

Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.

How much does Evan's dog weigh?

Answers

Answer:

the answer is expkained below

Answer:

Evans dog would weigh 39 pounds

Step-by-step explanation:

117= 3 × X

Take 117 and divide it by 3 and the answer we would get is 39

117 ÷ 3 = 39

To double check the answer we could multiply 39 by 3 to see if we 117.

39 × 3 = 117

X= 39 pounds, so Evans dog is 39 pounds

True or false, the two triangles are congruent by ASA
O true
false

Answers

true because it’s true

Answer:the answer is true

Step-by-step explanation:

Because the two triangle are congruent ASA

The profits in hundreds of dollars, Pc), that a company can make from a product is modeled by a function of the price, c,
they charge for the product: P(c) = -20c2 + 320C + 5,120. What is the maximum profit the company can make from the
product?
$540,000
$640,000
$800,000
$896,000

Answers

640,000 is the correct answer

what are the correct answers whoever answers it correctly gets brainlist

Answers

Answer:

So the answer is... Hold on... Ok i did my research and the answer is........

Step-by-step explanation:

1. Economic

The Industrial Revolution stimulated the hunt for colonies. First, colonies provided raw

materials. Second, colonies served as a market for surplus manufactured goods.

2. Political

Every country wanted national hegemony – that is, to be the No. 1 imperialist country in the

world. To achieve this, they wanted to control as much of the world as

possible. The nation’s greatness is measured by the quality and quantity

of its colonies. Folks wanted to plant the flag in as many places as

possible. Every country wanted recognition as a world power. They

wanted to improve their reputation among other European countries.

They wanted to increase their political power and prestige. Every country

was in competition with its rivals. You took territory – simply to prevent

your rival from getting it!

3. Military

Every imperialist country was worried about its own national security: The competition

among imperialist powers was vicious. One had to protect one’s own

country and its colonies. Every country wanted to gain military

advantage over its rivals. A colony could serve as a fueling station for

the Navy. A ship could stop and load up on supplies. Some spots in the

world, especially waterways, were strategically important. The Navy

was paramount: It must have freedom to travel to and from the

colonies.

4. Cultural

Social Darwinism was the prevailing belief in Europe. It explained why some countries were

rich and some were poor. People compete for survival. The strong survive.

The rich were naturally superior. The weak were unfit. Poverty was a sign of

being unfit. The poor were naturally inferior. The European colonizers were

the Superior Races. The African and Asian colonized were Inferior Races. The

Europeans regarded themselves as racially and culturally superior to the people

of Africa and Asia. Humanitarians argued that it was Europe’s noble duty to

uplift and enlighten the backward peoples. Belief in Anglo-Saxon superiority

was prevalent.

5. Religious

The “missionary impulse”: Christianity is superior to all other religions. We must

spread Christianity to Asia and Africa. Religion encouraged imperialism. People

felt they needed to acquire territory in order to Christianize people. A serious

moral issue – Christianity is in direct conflict with Social Darwinism. Under

Christianity, all people are equal in God’s eyes. Under Social Darwinism, the

Europeans are superior and the Africans and Asians are inferior. There was also a

certain element of hypocrisy: While the Europeans spoke of uplifting people, they

were actually motivated by profit and greed.

a cylinder with a radius of 5cm and height of 10cm equals what volume?

Answers

The formula of cylinder volume is V= Pi(radius)^2 (height). Therefore, V=(5)^2 (10)pi = 785.398 cm^3

Answer:

15

Step-by-step explanation:

15 show wisbf disbesnsjs sjsnsid e ejeisoe. ejdjdnd

(03.09)
What is the equation of the quadratic graph with a focus of (3, -1) and a directrix of y
= 1? (1 point)
two - od
1
f(x) = -4 (x - 3)2 + 1
O 1
f(x) = -4 (x - 3)2
O
.
1
f(x) = 4 (x - 3)2 + 1
0
1
f(x) = 4 (x - 3)

Answers

Point 1, f(x) -4 (x-3) 2+1

what is the equation of the line in the slope-intercept? write your answer in simplest form.​

Answers

Answer:

y=-6x

Step-by-step explanation:

Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x

the length of a rectangle is 3 more than 3 times it’s width. the perimeter of the rectangle is 174 inches. what is the length of the rectangle?

Answers

Answer:

66 anches beacause i don't know

Step-by-step explanation:

A recipe calls for 1 1/8 cups of flower for every 3/4 cup of sugar used. How many cups of flour are needed for each cup of sugar used?

A 1 1/2
B 1 5/27
C 27/32
D 3/4

Answers

Answer: A

You could put this in a ratio of flour to sugar 9/8 : 3/4. If we need to find out how many cups of flour are required for each cup of sugar, then we’ll need to divide both sides by 3/4 to get to 1 cup of sugar so that we can find how many cups of flour are required for this amount. The flour is 9/8 cups which then gets divided by 3/4 and is 1/2 so this is our answer.

Calculate the probability P(E).
The Heavy Weather Service predicts that for tomorrow there is a 50% chance of tornadoes, a 25% chance of a monsoon, and a 15% chance of both. What is the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon?

Answers

The probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total putcome

If there is a 15% chance that tornadoes and monsoon will occur, hence the

the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon will be expressed as:

Pr(neither tornadoes nor a monsoon) = 1 - Pr(both will occur)

Pr(neither tornadoes nor a monsoon) = 1 - 0.15

Pr(neither tornadoes nor a monsoon) = 0.85 =  85%

Hence the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85

Learn more on probability here: https://brainly.com/question/13604758

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Answers

Answer:

75 percent

Step-by-step explanation:

see the thing is

The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

What is combination?

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Number of ways to choose 5 sedimentary from 7  sedimentary is,

[tex]^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21[/tex]

There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,

[tex]^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649[/tex]


Thus, the probability that exactly 5 are sedimentary is,

[tex]P=\dfrac{21}{33649}[/tex]

Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

Learn more about the combination here;

https://brainly.com/question/17139330

#SPJ2


g(x) = x² – 3x
h(x)=x+ 5
Find (g- h)(x)

Answers

Answer:

g(x+5)=x2+7x+10

Step-by-step explanation:

4 x ( 2 + 5 )^2 - 5^2

Answers

4* (7)^2-(5)^2
=4*49-25
=196-25
=171

What is one website you can visit in order to request free credit report from any of the three bureaus?

Answers

Answer: annualcreditreport.com

Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228

What is 3 4/5÷(−1 1/10)?

Write the answer as a mixed number in simplest form.

Answers

Step 1:(Not really helpful or important) I just follow the rules of BODMAS.B for bracket O for Of D for division M for multiplication A for addition and S small quiz in comment pls
I converted -11/10 to -1 1/10
Then I did 3 4/5 divided by it
Hope I help pls answer the quizzzz

Are the expressions 0.85b-0.2b and 0.65b equivalent?

Answers

Hello!

0.85b-0.2b

0.65b

0.65b=0.65b

So these expressions are equivalent.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

100 points hode tp spelll heder

Answers

Answer:

100 points hope to spell header?

Step-by-step explanation:

Answer:

do you mean harder?

Step-by-step explanation:

and if you mean harder it is spelled : H A R D E R


Is this statement true or false:
a - b = b - a
True
False

Answers

Answer:

False

Step-by-step explanation:

positive A and negative B does not equal positive B and negative A

Answer:

FALSE

Step-by-step explanation:

What is the meaning of the point shown on this graph?
Mysha’s Height

A: Mysha was 12 inches tall at age 2 1/2 years

B. Mysha was 30 inches tall at age 1 year

C: Mysha was 12 inches tall at the ago 30 months

D: Mysha was 30 inches tall at age 12 years

Answers

It would be B. She is 30 inches in height (y-axis) and she is 1 year old, or 12 months (x-axis). Hope this helped :)

6 + 2f = 8

f =

what the awnser i need help

Answers

Answer

f= 1

step by step explanation

Pls help me if i got to fimd the quotient and it is due pls help if I got any of them wrong ple put it in the answer NO LINK YA SCAMMERS I don't even have anything for yall to steal from me

Answers

Answer:

4.75 divided by 5 =0.95

Step-by-step explanation:

(−2 1/5) × (−5 3/4) as a fraction

Answers

Answer:

-23 over 10

Step-by-step explanation:

Hope this helped :)

Answer:

253/20

Step-by-step explanation:

(−2 1/5) × (−5 3/4) =

1. change both mixed numerals into fractions.

= -11/5 × (-23/4)

2. Since both numbers are negative, the product is positive. Multiply both numerators together. Multiply both denominators together.

= 253/20

253 is the product of 2 prime numbers, 11 and 23. 20 is the product of 2² and 5. There are no common factors in the numerator and denominator, so this fraction cannot be reduced.

Answer: 253/20

Given the two similar triangles below, which proportion is not true?
16.5 cm
12 cm
11 cm
با این
8 cm
10.5 cm
7 cm

Answers

Answer:

10.5

Step-by-step explanation:

Given the two similar triangles below, which proportion is not true?

i need help with this can ya help

8/12 = 7/10.5 11/7 = 16.5/127/8 = 10.5/1211/16.5 = 8/12

Sorry i know this isnt an answer.

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