All categories

2 years ago

Need some help on this

Mathematics

1 answer:

Schach [20]2 years ago

8 0

Hi there!

The two angles are alternate-interior angles, so:
∠A ≅ ∠B

6x + 18 = x + 93

Solve for x. Subtract x from both sides:

5x + 18 = 93

Subtract 18 from both sides:

5x = 75

Divide both sides by 5.

x = 75/5 = 15°

Now, solve for angle B by plugging in this value into the equation.

∠B = 15 + 93 = 108°

You might be interested in

I’ll give Brainliest!!

Gnoma [55]

Answer: 1.5

Step-by-step explanation: The difference between the 2nd And 4th is 7. Divide by 2 to get 3.5. Add 3.5 to f(2) to getf(3)
The difference between f(1) and f(2) will be 3.5 and that's 5-3.5 =1.5
F(5) is 15.5 f(6) is 19

7 0

2 years ago

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

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

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

Translate the sentence into an equation. Twice the difference of a number and 6 is 2.

mojhsa [17]

Answer:

let the number be x.

2(x-6)=2

hope it helps

<h2>stay safe healthy and happy....</h2>

7 0

3 years ago

The ice cream shop has 80 different possible sundaes consisting of 1 flavor of ice cream, 1 syrup, and 1 candy topping. If the i

adoni [48]

4: 80*5*4 
= 1600 diff ice creams flavors. yum.

4 0

3 years ago

6x^2-4xy-15xy+10y^2 factor by grouping

PtichkaEL [24]

4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)

Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)

8 0

3 years ago