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wlad13 [49]
2 years ago
5

In exercises 1 and 2, find m<1 and m<2. Tell which theorem you used in each case.

Mathematics
1 answer:
solniwko [45]2 years ago
8 0

Answer:

m∠2 = 78°

Step-by-step explanation:

From the given picture,

lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.

∠1 and angle with the measure of 78° are corresponding angles.

Therefore, m∠1 = 78°

m∠1 = m∠2 [Vertical angles are equal]

m∠2 = 78°

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Suppose that z=6^500. Express the following in terms of z.
Studentka2010 [4]

Answer:

1. z^2

2. 14z

Step-by-step explanation:

  • We know that (a^m)^n = a^(mn) = (a^n) ^m

We also know that (a^m)(a^n) = a^(m+n)

  1. 36 can be written as 6^2 and here 36^(500) can be written as (6^2)^500 which also can be written as (6^500)^2 and as already it is mentioned that 6^500 as z we can write the above as <u>z^2</u>

2. 8 x 6^500 = 8z

And we can also write 6^(501) as 6^(500+1) which is equivalent to 6(6^500) which is 6z.

From the above we can make sure that the question is the sum of the above which is 8z + 6z = <u>14z</u><u>.</u>

7 0
2 years ago
Solve by the quadratic formula. <br>a) 5<br>b) -1<br>c) 1<br>d) -1/2<br>e) 4​
stepan [7]

Answer:

I hope this helps a little bit.

4 0
2 years ago
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Solve for x, rounding to the nearest hundredth.
Andreas93 [3]
Answer: x=1.32
Hope this helps!
6 0
2 years ago
Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending past the
nlexa [21]

Answer:

y+z=x

Step-by-step explanation:

we know that

The <u>Exterior Angle Property of a Triangle</u> states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles

In this problem

Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC

therefore

Applying the Exterior Angle Property of a Triangle

y+z=x

4 0
3 years ago
What is the mass of 75¢ in nickels?
Dima020 [189]
According to the United States Mint, the mass of 1 nickel is 5.000 g.

\dfrac{\$0.75}{\$0.05} = 15

There are 15 nickles in 75 cents worth of nickels.

15 * 5.000 g = 75.000 g

Answer: 75.000 grams
6 0
3 years ago
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