All categories

3 years ago

Pls help asapp picture attached

Mathematics

2 answers:

dalvyx [7]3 years ago

8 0

Answer:

The answer to your question is x = 50

Step-by-step explanation:

Data

∠1 = 110°

∠3 = 2x + 10

Process

1.- Angle ∠1 and angle 3 are vertical angles so, they measure the same.

∠1 = ∠ 3

110 = 2x + 10

2.- Solve for x

Substract 10 in both sides

110 - 10 = 2x + 10 - 10

Simplify

100 = 2x

Divide by 2 both sides

100/2 = 2/2 x

Simplify and result

50 = x

Olin [163]3 years ago

3 0

Answer:

Step-by-step explanation:

Angle 1 is 110.

Angle 3 is 2x plus 10.

Angle 1 and 3 are vertically opposite angles.

And vertically opposite angles r equal.

Which means, angle 1=angle 3,and angle 2=angke 4.

Here we only Need angle 2 and 3.

Angke 2= angle 3.

Which is 2x plus 10=110.

Therefore 2x=110-10=100

Therefore x = 100÷2=50

There u have it ma'am.

You might be interested in

what crisis did president carter face during his presidency? A.) the explosion of a u.s space shuttle. B. the breaking apart of

rjkz [21]

B breaks apart of the soviet union

5 0

4 years ago

For all values of x

Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0

3 years ago

Three pizzas are share equally among 12 people. What fraction will each person get

victus00 [196]

Answer:

Step-by-step explanation:

if you take the fraction 3/12 and divide it by 3 on both sides, you get the remaining fraction 1/4

3 0

3 years ago

Read 2 more answers

Hey can you please help me posted picture of question :)

jek_recluse [69]

The sum of a and b will be the coefficient of the x term of the trinomial. This can be seen below.

(x + a)(x + b)
= x² + bx + ax + ab
= x² + (a+b)x + ab

x is being multiplied by both a and b individually and the products are being added, so sum of a and b appears as the coefficient of x term.

Thus the answer to this question is option C

5 0

4 years ago

The table below shows the number of pencils and pens three friends have in their backpacks.

anyanavicka [17]

Answer:

Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

Step-by-step explanation:

Considering the table

Lydia's Number of Pencils = 10

Lydia's Number of Pens = 7

Lydia's Pencils to Pens ratio = 10/7

Angel's Number of Pencils = 9

Angel's Number of Pens = 6

Angels's Pencils to Pens ratio = 9/6 = 3 / 2

Elizabeth's Number of Pencils = 12

Elizabeth's Number of Pens = 9

Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3

So, We get the inputs ratios such as:

Lydia's ratio: Angels's ratio: Elizabeth's ratio

10/7 : 3 / 2 : 4 / 3

As the least common denominator (LCD) is: 42

Rewriting as equivalent fractions with the LCD:

10/7 : 3 / 2 : 4 / 3

60 / 42 : 63/42 : 56/42

Sorting from least to greatest:

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

Elizabeth's ratio : Lydia's ratio : Angels's ratio:

4/3 : 10 /7 : 3 / 2

56/42 : 60 / 42 : 63/42

Therefore, Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

8 0

3 years ago