All categories

3 years ago

The following figure is not drawn to scale.

Mathematics

2 answers:

erik [133]3 years ago

7 0

Answer:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 105

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105

so y = 105

Step-by-step explanation:

Salsk061 [2.6K]3 years ago

6 0

Answer:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and y are angles formed on a straight line that is split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 180

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105 so y = 105

You might be interested in

Write a model for the statement V varies jointly as h and the fifth power of r. Group of answer choices LaTeX: V=khr^5 V = k h r

hjlf

Answer:

Option A)

$V = khr^5$

Step-by-step explanation:

We are given the following in the question:

V varies jointly as h and the fifth power of r.

$V\propto h\\V\propto r^5$

Combing the two equations, we get,

$V\propto hr^5$

Now, removing the sign of proportionality and adding the constant of proportionality, we get,

$V = khr^5$

where k is the constant of proportionality.

Thus, the correct answer is

Option A)

$V = khr^5$

7 0

3 years ago

Find the nth term of this sequence, 3, 6, 9, 12

miss Akunina [59]

Answer:

$\large\boxed{\sf n^{th} \ term =3n}}$

Step-by-step explanation:

Find common difference from subtracting any term in the sequence with the previous term.

$\large{\sf 6-3}=3$

Apply nth term formula.

$\large{\sf a_n=a_1+(n-1)d$

$\large{\sf d=3 \ \ a_1=3}$

$\large{\sf a_n=3+(n-1)3$

$\large{\sf a_n=3+3n-3$

$\large{\sf a_n=3n}$

3 0

3 years ago

Read 2 more answers

Help asap please, explain why too!

emmainna [20.7K]

Answer:

Yes triangle ABC and DEF are similar.

Step-by-step explanation:

One rule of triangles is that all the angles in a triangle will add up to 180 degrees.

Now, first, you will figure out the remaining angle in triangle ABC.

Add up 35 and 20. (35 + 20 =55)
Subtract 55 from 180 (180-55= 125)
When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.

Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.

125 + 35 = 160
180-160= 20

The remaining angle is 20 degrees

As you can see, triangle ABC shares the same angles as triangle DEF.

This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.

You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity

I hope this explanation helped and have a good day!

8 0

3 years ago

Which point is located at (2, 6)? On a coordinate plane, point A is 6 units to the right and 2 units up. Point B is 6 units to t

kow [346]

Point C

Ignore - babbucebuc

6 0

3 years ago

Read 2 more answers

Quadrilateral WXYZ has a length of five, six, seven, and eight. A new quadrilateral is created, using a scale factor of 1.2. Whi

mylen [45]

Answer:

8.4

Step-by-step explanation:

6 0

3 years ago