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IgorLugansk [536]
3 years ago
15

if angle 1 and angle 2 are vertical angles, angle 2 and angle 3 are complementary angles and the measure of angle 3 is 56 degree

s find measure of angle 1​
Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0

Answer:

34º

Step-by-step explanation: so basically you know a complementary angle is 2 angles that make a straight line and a vertical angle crosses which means 2 angles are congruent to each other so I drew a line that bisected the angle by drawing a line that cut through the right angle and i extended a line down from the right angle so now I have a vertical angle and a complementary so from here I labeled each angle <1 <2 <3  If I know angle 3 is 56º then I know 56 plus __ equals 90º I then subtracted 56 from 90 and I got 34 and since I am trying to figure out what angle 1 is I know that angle 1 and 2 are vertical angles therefore I know they are congruent to each other so <1 = 34º

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(-2,3) is one vertex of a square on a coordinate plane. Name three points that could be the other vertices.
wariber [46]
Well basically you just have to chose a number of sides for the side length of the square to be and move those many places to get another vertex of the square. For example if we have (-2,3) and we choose the side lengths to be 4 units than you could move 4 places up, down, left, or right to get the other vertices for the square


Hope that helps :)
3 0
3 years ago
Can someone help me find the volume please
umka2103 [35]

Answer:

See below.

Step-by-step explanation:

The figure is a cone. The formula for the volume of a cone is:

V=\frac{1}{3}\pi r^2h

The radius is 4.8 and the height is 2.9. Substitute:

V=\frac{1}{3}\pi (4.8)^2(2.9)

Use a calculator:

V\approx69.97\text{ km}^3

And we're done!

5 0
3 years ago
The sky ride at an amusement park spans 4 x 10 feet. Over the course of the day, Anna rode the sky ride 7 times. How many feet d
Furkat [3]
This question tells that the sky ride is a rectangle.
This means the perimeter or the total distance round the figure = 2L + 2B
= 2(4)+ 2(10)
=8+20
=28 feet
Anna rose 7 times
Distance rode= 7(28)
=196 feet
8 0
2 years ago
Make a the subject of a2+b2=c2
wel

Answer:

a=\sqrt{c^2-b^2

⇒ a=\sqrt{(c+b)(c-b)}        [Factorized form]

Step-by-step explanation:

Given expression:

a^2+b^2=c^2

We need to make a the subject.

In order to do that we need to solve the expression for a in terms of b and c

We have,

a^2+b^2=c^2

Subtracting both sides by b^2

a^2+b^2-b^2=c^2-b^2

a^2=c^2-b^2

Taking square root both sides in order to remove square of a

\sqrt{a^2}=\sqrt{c^2-b^2}

a=\sqrt{c^2-b^2

The difference of squares can be factorized and written  as:

a=\sqrt{(c+b)(c-b)}    [difference of squares x^2-y^2=(x+y)(x-y) ]

4 0
3 years ago
A buyer owes a supplier $820. The terms were 3/10, n/60. Within 10 days, the buyer sent in a payment of $140. How much is the ne
Margaret [11]

Answer:

The new balance is $675.8

Step-by-step explanation:

Solution

Given that

The total amount of loan = $820.

The terms were = 3/10, n/60

Within 10 days, the buyer sent in a payment of  =$140

What is the new balance =?

Now,

3/10 =  if the amount is paid in 10 days, a discount of is included

n/60 = This means that all amount should be paid within 60 days

Thus,

$140 for 3/10 as this is paid within 10 days

140 *3% = 140 * 3/100

we get

=$4.2 of discount

Then,

The balance amount becomes $ 820 - 140 -4.2

=$675.8

7 0
3 years ago
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