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LuckyWell [14K]
3 years ago
7

In the diagram, transversal t cuts parallel lines a and b. Which equation is necessarily true?

Mathematics
2 answers:
Svetllana [295]3 years ago
4 0
B is the correct answer
hoa [83]3 years ago
3 0

Answer:

The correct answer is option B.  

m<3 = m<6

Step-by-step explanation:

From the figure we an see that, a and b are parallel lines and line t is the traversal on the lines.

<u>To find the correct option</u>

From the given figure we get

Corresponding angles are,

<1 & <5,  <2&<6, <2&<7 and <4 &<8

Alternate interior angles are,

<3 & <6  and <4 &<5

Alternate interior angles are equal.

m<3 = m<6

Therefore the correct answer is optionB

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1. A limited-edition soccer ball costs $30, and the<br> sales tax is 6%. What is the total cost?
ra1l [238]

Answer:

$31.80

Step-by-step explanation:

The ball will cost 100% of its price plus 6% of its price for a total of 106%.

To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.

Multiply the cost of the ball by your multiplication factor:

30 x 1.06 = 31.8

Money is written to two decimal places, making your answer $31.80

6 0
3 years ago
Read 2 more answers
How do you do this? Please tell me step by step
Ainat [17]
8x-2=-9+7x
Add 2 to both sides
8x=-7+7x
Subtract 7x from both sides
x=-7
6 0
3 years ago
Find an equation of the line perpendicular to the graph of 14x-7y=4 that passes through the point at (2,-9)
12345 [234]
If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).

Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:

y-(-9)=(-1/2)(x-2)
y+9=(-1/2)x+1
y=(-1/2)x-8

Hope this helps!



6 0
3 years ago
A 3-inch by 5-inch index card is rotated around a horizontal line and a vertical line to produce two different solids. Which sol
Strike441 [17]

This question is incomplete, the missing diagram is uploaded along this answer below;

Answer:

horizontal V₁ ( 141.37 in³ ) is less than vertical V₂ ( 235.62 in³ )

Step-by-step explanation:

Given the data in the question and as illustrated in the image below;

from the image,

We find the volume of the solid obtained by rotating the card around a horizontal line;

Volume of the cylinder V₁ = πr²h

given that; radii = 3 in and height = 5 in

we substitute

V₁ = π × (3)² × 5

V₁ =  π × 9 × 5

V₁ = 141.37 in³

Next we find the volume of the solid obtained by rotating the card around a vertical line;

Volume of the cylinder V₂ = πr²h

given that; radii = 5 in and height = 3 in

we substitute

V₂ = π × (5)² × 3

V₂ =  π × 25 × 3

V₂ = 235.62 in³

Hence horizontal V₁ ( 141.37 in³ ) is less than vertical V₂ ( 235.62 in³ )

8 0
3 years ago
Describe the graph of the inequality x &gt; -1.
77julia77 [94]

Answer:

See below

Step-by-step explanation:

Given

  • Inequality x > -1

This inequality covers the interval greater than  - 1

  • ( - 1, + oo)

Its graph covers the space to the right from the point -1

The vertical line  - 1 is a dotted line as - 1 is nor included

5 0
3 years ago
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