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Gnom [1K]
3 years ago
7

I need help on finding x?

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

The equations (6x+42) degrees and (18x-12) degrees are congruent angles so to set up the equation, put both expressions on different sides of the equals sign. Use properties of equality to get x=4.5

Step-by-step explanation:

Your equation should be 6x+42=18x-12

Add the 12 to both sides to get 6x+54=18x

Move the 6x to the other side to get 54=12x

Then divide by 12 on both sides to get 4.5

Therefore, x=4.5.

You might be interested in
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s
laiz [17]

Answer:

A

Step-by-step explanation:

|((experimental - theoretical) / theoretical)| x 100

5.5 - 5.62 / 5.62 = -.0213

|-.0213| = .0213

.0213 x 100 = 2.13


8 0
3 years ago
Three freinds each have some ribbon. carol has 42 inches of ribbon, tino has 2.5 feet of ribbon, and baxter has 1.5 yards of rib
s344n2d4d5 [400]
Hi there! 3 feet = 1 yard, 12 inches = 1 foot and 36 inches = 1 yard. All we have to do is change them up into different units by doing a bit of multiplication, division, maybe mental math, and even proportions if you know how to do them. Regardless on what you do, if you do it correctly, here are what your answers should be for each unit.


Inches

Carol: 42 inches
Tino: 30 inches
Baxter: 54 inches

Feet:

Carol: 3.5 feet
Tino: 2.5 feet
Baxter: 4.5 feet

Yards:

Carol: 1 1/6 yards
Tino: 5/6 yards
Baxter: 1 1/2 yards
6 0
3 years ago
Need help ASAP! due soon!!!
-BARSIC- [3]

Answer:

Option B

Step-by-step explanation:

First make x = 4 and y = 3 in the equation y = -1/2x + 5

it should look like 3 = -1/2(4) + 5 now we can solve

   -1/2 * 4 = -2         →      3 = -2 +5

       -2 + 5 = 3         →          3 = 3

5 0
2 years ago
What is the approximate volume of the cylinder? Use 3.14 for п.
Veseljchak [2.6K]

<u>Given</u>:

Given that the radius of the cylinder is 4 cm.

The height of the cylinder is 9 cm.

We need to determine the volume of the cylinder.

<u>Volume of the cylinder:</u>

The volume of the cylinder can be determined using the formula,

V=\pi r^2 h

where r is the radius and h is the height of the cylinder.

Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;

V=(3.14)(4)^2(9)

V=(3.14)(16)(9)

V=452.16 \ cm^3

Thus, the volume of the cylinder is 452.16 cm³

Hence, Option B is the correct answer.

4 0
3 years ago
(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
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