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sveta [45]
2 years ago
13

[Help Asap, I will mark brainliest] In the figure below, g, || l. Find the values of y and x.

Mathematics
1 answer:
ohaa [14]2 years ago
5 0

Answer:

x = 23

y = 110

Step-by-step explanation:

70 and  3x+1 are alternate exterior angles and that means they are equal

70 =3x+1

Subtract 1 from each side

69 = 3x

Divide by 3

69/3 =3x/3

23 =x

70 and y are same side exterior angles and that means they are supplementary ( add to 180)

70+y = 180

y = 180-70

y = 110

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Factorise 3ab²+15a²b³+21a³b²​
evablogger [386]

Given:

The expression is

3ab^2+15a^2b^3+21a^3b^2

To find:

The factor form of the given expression.

Solution:

We have,

3ab^2+15a^2b^3+21a^3b^2

Taking out the common factors, we get

3ab^2(1+5ab+7a^2)

It is clear that (1+5ab+7a^2) cannot be factories further.

Therefore, the factorized form of the given expression is 3ab^2(1+5ab+7a^2).

5 0
3 years ago
7<br> Slope<br> 6'<br> y-intercept (0, – 6)<br> What is the equation
Hitman42 [59]

Answer:

y = 7x -  6

Step-by-step explanation:

We are given the slope of 7 and the y-intercept of (0, -6).

We can easily write this in slope-intercept form.

y=mx+b

m - slope

b - y-intercept

Replace 'm' with '7' and 'b' with '-6'.

y=mx+b\rightarrow \boxed {y=7x-6}

Hope this helps.

3 0
2 years ago
L'età media di Aldo, Bruno, Carlo e Davide è 16 anni. Se non si tiene conto di Davide, l'età media dei tre rimanenti sale a 18.
photoshop1234 [79]

Answer:

Davide's age is 10.

L'età di Davide è 10.

Step-by-step explanation:

The average age of Aldo, Bruno, Carlo and Davide is 16 years.

I am going to say that:

x is Aldo's age.

y is Bruno's age.

z is Carlo's age.

w is Davide's age.

Average of the 4 is 16 years.

This means that:

16 = \frac{x + y + z + w}{4}

x + y + z + w = 64

If we do not consider Davide, the mean is 18. So

18 = \frac{x + y + z}{3}

x + y + z = 54

Replacing in the first equation:

x + y + z + w = 64

54 + w = 64

w = 10

Davide's age is 10.

L'età di Davide è 10.

4 0
3 years ago
Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide.
zhannawk [14.2K]

Answer:

The rug is 7 ft long and 3 ft wide.

Step-by-step explanation:

A=L*W

21=7*3

7-3=4

4 0
2 years ago
What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0?
notka56 [123]

Answer: last option.

Step-by-step explanation:

Remember the square of a binomial:

(a\±b)^2=a^2\±2ab+b^2

Given the equation (x-8)^2-13(x-8)+30 = 0, you need to simplify it:

(x^2-2(x)(8)+8^2)-13x+104+30=0\\x^2-16x+64-13x+134=0\\x^2-29x+198=0

Use the Quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case:

a=1\\b=-29\\c=198

Substituting you get:

x=\frac{-(-29)\±\sqrt{(-29)^2-4(1)(198)}}{2(1)}

x=11\\x=18

5 0
3 years ago
Read 2 more answers
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