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Tju [1.3M]
3 years ago
6

Which of the following correctly justifies statement 4 of the two-column proof? Lines JK and LM are intersected by transversal J

L; the intersection of JK and JL creates angles 2, 4, 3, and 1 clockwise beginning at the top right; the intersection of LM and JL creates angles 6, 8, 7, and 5 clockwise beginning at the top right. Given: line JK is parallel to line LM Prove: ∠1 ≅ ∠8 Statement Justification 1. line JK is parallel to line LM 1. Given 2. ∠1 ≅ ∠4 2. 3. ∠4 ≅ ∠8 3. 4. ∠1 ≅ ∠8 4. Transitive Property of Equality Corresponding Angles Theorem Vertical Angles Theorem Substitution Property of Equality
Mathematics
2 answers:
Akimi4 [234]3 years ago
4 0

Answer:

A. Transitive Property of Equality

Step-by-step explanation:

kow [346]3 years ago
4 0

Answer:

yup i agree with A ,Transitive Property of Equality

Step-by-step explanation:

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A rectangular photograph is nine centimeters wide and fourteen centimeters long. The photograph is enlarged by increasing the le
koban [17]

Answer:

Width=13cm

Length=18cm

Step-by-step explanation:

Width of the Initial Photograph=9cm

Length of the Initial Photograph=14cm

If width and length are increased by an equal amount, say x

New Width=9+x

New Length=14+x

Area of the new photo is 108 square centimeters greater than the area of the original photo.

Area of Original Photo=14*9=126cm²

Aeea of the New Photo=126+108=234cm²

Therefore:

(9+x)(14+x)=234

126+9x+14x+x²-234=0

x²+23x-108=0

x²+27x-4x-108=0

x(x+27)-4(x+27)=0

(x+27)(x-4)=0

x+27=0 or x-4=0

x=-27 or x=4

Since x≠-27

x=4cm

The dimensions of the new photo are:

Width=9+x=9+4=13cm

Length=14+x=14+4=18cm

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3 years ago
What are three problems the have the sum of 4
vladimir2022 [97]
It will be all these
1+3
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6 0
3 years ago
THE GRAPH IS BELOW THANKS :) Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day
Vaselesa [24]

Answer:

(a) We will form an equation of line from the points given (6,10) and (2,15)

Using:y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)

On substituting the values in the formula above we will get the required equation of line.

y-10=\frac{15-10}{2-6}\cdot (x-6)

\Rightarrow y-10=\frac{5}{-4}\cdot (x-6)

On simplification we will get:

y=\frac{1}{4}(-5x+70)

(b) We need to tell at day 0 put x=0 in above equation:

y=\frac{1}{4}(-5\cdot 0+70)

y=70

Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.

Now, we need to tell decrease per day which is equal to the slope of line

To find the slope compare the equation with general equation which is y=mx+c where m is slope

Here, in y=\frac{1}{4}(-5x+70)

m=\frac{-5}{4}  which is the decrease per day.


3 0
3 years ago
Rút gọn : <br> (x+2)^2+(3-x)^2= ?
Yanka [14]

Step-by-step explanation:

=x^2+2x+4+9-6x+x^2

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Answer:

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Step-by-step explanation:

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