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2 years ago

In Exercises 15-18, find the measure of the exterior angle.

Mathematics

1 answer:

valina [46]2 years ago

6 0

Answer:

The measure of the exterior angle is 92 degrees

Step-by-step explanation:

Problem 16)

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

In this problem

$(2x-2)\°=x\°+45\°$

solve for x

$2x-x=45+2$

$x=47\°$

Find the measure of the exterior angle

$(2x-2)\°=(2(47)-2)=92\°$

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What is the point slope form of a line with slope 3 that contains the point (2,1)

Mice21 [21]

Answer:

y - 1 = 3 ( x - 2)

Step-by-step explanation:

The formula for point slope form is y-y1=m(x-x1)

Just substitute the given information into the equation to get your answer.

(reminder m=slope, y1=the given y value, x1= the given x value)

HOPE THIS HELPS

7 0

2 years ago

A zealous geologist is sponsoring a contest in which entrants have to guess the age of a shiny rock. He offers these clues: the

nataly862011 [7]

Answer:

The total number of possibilities are 60.

Step-by-step explanation:

Given:

There are 6 digits and 3,7,9 are odd ones.

To Find:

How many possibilities are there for the rock's age

Solution:

Here condition is that number should start with odd digit

so there 3 number only as odd(3,7,9)

So it leaves 3 repeating numbers i.e.2

So permutation of 5 numbers with 3 odd numbers

So possible arrangement will be

nPr

n=5 ,r=3

So 5P3=5!/3!

And finally for all possibilities as

=3*(5!/3!)

=3*(20)

=60

3 0

2 years ago

The hypotenuse of a right triangle is startroot 21 endroot21 in and one leg measures 44 in. find the length of the other leg.

34kurt

Hypotenuse is√21?
a=4

4²+b²=21
b²=5
b=√5

7 0

2 years ago

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A

8_murik_8 [283]

Answer:

A. √3 : 2

D. 3√3 : 6

Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

The given the shorter leg = 1 unit

The hypotenuse is twice the shorter leg= 2 units

The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg

$=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}$

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

$a^2+b^2=c^2$

Hence the summary is

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

$=3\sqrt{3} :6\\\\\\\frac{3\sqrt{3} }{3} :\frac{6}{3} \\\\\\=\sqrt{3} :2$

Answers are :option A and D

4 0

2 years ago

Which number is the farthest from - 2 on the number line? A. 6 B. 0 C. -1 D. -9

Leya [2.2K]

Answer: A. 6

Step-by-step explanation: if you go from -2 to 6 you go 8 spaces. You go from -2 to 0 which is 2 spaces, and they 6 more spaces to get to 6. If you went to -9 you are going 7 spaces. and to 0 you go 2 spaces, and -1 you go one space. So, the furthest is positive 6.

Hope this helps ^_^

5 0

2 years ago

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In Exercises 15-18, find the measure of the exterior angle.​

In Exercises 15-18, find the measure of the exterior angle.