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Mumz [18]
3 years ago
15

Choose a variable, write an equation for each problem and solve the problem

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

1.   17

2.     7

3.     -2

4.      18

5.     8

6.     70

Step-by-step explanation:

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How to figure out pythagoras theorem?
Paladinen [302]

Any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

<h3>What is the Pythagoras Theorem?</h3>

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In △ABD and △ACB,

∠A = ∠A (common)

∠ADB = ∠ABC (both are right angles)

Thus, △ABD ∼ △ACB (by AA similarity criterion)

Similarly, we can prove △BCD ∼ △ACB.

Thus △ABD ∼ △ACB,

Therefore, AD/AB = AB/AC.

We can say that AD × AC = AB².

Similarly, △BCD ∼ △ACB.

Therefore,

CD/BC = BC/AC.

We can also say that

CD × AC = BC².

Adding these 2 equations, we get

AB² + BC² = (AD × AC) + (CD × AC)

AB² + BC² =AC(AD +DC)

AB² + BC² = AC²

Hence proved

Thus, any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Learn more about Pythagoras theorem from:

brainly.com/question/343682

#SPJ1

6 0
2 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Julli [10]

Use the quadratic formula -b+/-√b^2 -4(ac) / 2a

-4 +/- √(4^2 - 4(1*10) / (2*1)

X = -2 +/- i√6

4 0
3 years ago
Read 2 more answers
A) Find the slope, x-intercept, y-intercept of the line (L):
Black_prince [1.1K]

Answer: 2, 1.5 , -0.75

(b) 4x-3y-10=0

Step-by-step explanation:

Given

line is 3x+4y-6=0

Converting it into intercept form

\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1

So, the x-intercept is 2 and y-intercept is 1.5

The slope is given by

-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75

(b) the line perpendicular to the above line and passing through (1,-2)

The slope of the required line

m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}

Equation of the line is given by

\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0

3 0
3 years ago
the catalogue price of an article is rs.50000 and a manufacturer sells it to the distributor at a discount of 20% of the catalog
timofeeve [1]

Answer:

A. what is the profit made by the retailer if he sells the article to the customer at the catalogue price?

10000

B.What profit is made by the manufacturer if the catalogue price is 50% above the manufacturing price?

25000

7 0
2 years ago
What is the radius of a hemisphere with a volume of 281,250 7 cm3?
Nady [450]

Answer:

the radius would be 88cm

8 0
3 years ago
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