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kari74 [83]
2 years ago
9

PLEEEEASE show each and every step of how you solve I will make you the branliest of the brainliiest if you do and I mean EACH a

nd EVERY step!!!

Mathematics
1 answer:
Ulleksa [173]2 years ago
5 0

Since the value of b is 5, hence the equation of the horizontal line is x = 5

<h3>Equation of a line</h3>

A line is defined as the shortest distance between two points. The given line on the xy plane is a horizontal line.

The equation of a line is expressed as y = mx + b where;

m is the slope

b is the y -intercept

The equation of a horizontal line on the other hand is expressed as x = b

where b is the point where the horizontal line crosses the y-axis.

Since the value of b is 5, hence the equation of the horizontal line is x = 5

Learn more on equation of horizontal line here: brainly.com/question/25081736

#SPJ1

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25 Points ! Write a paragraph proof.<br> Given: ∠T and ∠V are right angles.<br> Prove: ∆TUW ∆VWU
vladimir2022 [97]

Answer:

Δ TUW ≅ ΔVWU ⇒ by AAS case

Step-by-step explanation:

* Lets revise the cases of congruent for triangles

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ  

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ  

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

 and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

 leg of the 2nd right angle Δ

* Lets solve the problem

- There are two triangles TUW and VWU

- ∠T and ∠V are right angles

- LINE TW is parallel to line VU

∵ TW // VU and UW is a transversal

∴ m∠VUW = m∠TWU ⇒ alternate angles (Z shape)

- Now we have in the two triangles two pairs of angle equal each

 other and one common side, so we can use the case AAS

- In Δ TUW and ΔVWU

∵ m∠T = m∠V ⇒ given (right angles)

∵ m∠TWU = m∠VUW ⇒ proved

∵ UW = WU ⇒ (common side in the 2 Δ)

∴ Δ TUW ≅ ΔVWU ⇒ by AAS case

7 0
3 years ago
Read 2 more answers
James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?
tester [92]

Answer:

It takes 1 year.

Step-by-step explanation:

You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :

I =  \frac{PRT}{100}

200 =  \frac{4000 \times 5 \times T}{100}

20000 = 20000T

T = 1

3 0
3 years ago
Read 2 more answers
Plzzzzz help me with this
ehidna [41]

Answer:

We conclude that we must add 4² or 16 to complete the square.

Hence, option C i.e. 16 is the correct answer.

Step-by-step explanation:

We know that the perfect square formula is

<em>(a + b)² = a² + b² + 2ab</em>

Given the equation

x^2+8x

Let us add 4² or 16 in the equation

x^2+8x+4^2

x^2+\:2\left(1\right)\left(4\right)x+4^2

as <em>(a + b)² = a² + b² + 2ab, </em>so

<em />x^2+8x+4^2=\left(x+4\right)^2<em />

<em />

Therefore, we conclude that we must add 4² or 16 to complete the square.

Hence, option C i.e. 16 is the correct answer.

4 0
3 years ago
Read 2 more answers
How do you simplify each expression 3-5w+12+2w-3
Wittaler [7]
3-5w+12+2w-3
(3+12-3)=12
(-5w+2w)=-3w
-3w+12
5 0
3 years ago
Rewrite 3x+4y=12 in slope-intercept form. Then graph the equation.
frez [133]

Answer:

3x+4y=12

Step-by-step explanation:

7 0
3 years ago
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