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3 years ago

What angle relationships are created when parallel lines are intersected by a transversal?

Mathematics

1 answer:

natka813 [3]3 years ago

7 0

Answered by Mimiwhatsup: If two parallel lines are cut by a third line, the third line is called the transversal.

Relationships:

(1) Corresponding angles

(2) Vertically Opposite angles

(3) Alternate interior angles

(4) Alternate exterior angles

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Help me with this!! NO FAKE ANSWERS!!

Ksju [112]

Answer:

Step-by-step explanation:

this is a similar triangle, so the side that is 6 and 18 will have the same ratio as the side 4 and x, then

6/18 = 4 / x

x = 4 * 18/6

x = 2 * 18 / 3

x = 36 /3

x = 12

nice :)

7 0

2 years ago

What does x equal and how do I find x?

Oduvanchick [21]

If angles are the same, then their opposite edges also the same. So 2x-6 = x

If you solve it you will find x=6

3 0

3 years ago

Read 2 more answers

A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten

AfilCa [17]

Answer:

35.11 ft

Step-by-step explanation:

This given situation can be thought of as triangle $\triangle PQR$ where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And $\angle Q \neq 90^\circ$

Given that:

PQ = 44 ft

PR = 51 ft

$\angle R = 58^\circ$

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ$

Now,

$\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ$

Let us use the Sine rule again:

$\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft$

So, the answer is 35.11 ft.

3 0

3 years ago

Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’

lora16 [44]

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

$x-0.1x+2.70=56.70$

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the original price of the jeans.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

$(70)-0.1(70)+2.7\stackrel{?}{=}56.70$

Multiply:

$70-7+2.7\stackrel{?}{=}56.7$

Subtract:

$63+2.7\stackrel{?}{=}56.7$

Add:

$65.7\neq56.7$

However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:

$(60)-0.1(60)+2.7\stackrel{?}{=}5.7$

Multiply:

$60-6+2.7\stackrel{?}{=}56.7$

Subtract:

$54+2.7\stackrel{?}{=}56.7$

Add:

$56.7\stackrel{\checkmark}{=}56.7$

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

8 0

3 years ago

Read 2 more answers

PLEASE HELP EASY MATH

prisoha [69]

Unit rates are easy you just take the first number and divide it by your second
15 divided by 5 is = 3
75 divided by 25 is = 3
80 divided by 4 is = 20
Please mark brainiest
Have a amazing day

4 0

2 years ago