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zlopas [31]
3 years ago
11

What is 2x + 3(x - 1) simplified?

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

5x-3

Step-by-step explanation:

2x+3(x)+3(-1)= 2x+3x-3

5x-3

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Find the value of X and prove the following​
natali 33 [55]

The value of the variable <em>x</em> can be determined using the circle theorem to

determine the angle formed by <em>x</em>.

The correct responses are;

  • (1) x = <u>30°</u>
  • (2) x = <u>100°</u>
  • (3) x = <u>60°</u>

Reasons:

(1) From circle theorem, we have;

  • Equal chords subtends equal arcs and vice versa
  • Equal chords subtend equal angles at the center of a circle

Therefore;

Angle subtended by \displaystyle \widehat {AB} at center = Angle subtended by \widehat {BC} at the center;

  • Angle at the center = 2 × Angle at the circumference

Therefore;

Angle subtended by \displaystyle \widehat {AB} at the circumference = Angle subtended by \mathbf{\widehat {BC}} at the circumference

Which gives;

  • x = <u>30°</u>

(2) \displaystyle \widehat {AB} = \mathbf{\widehat {CD}} given

Angle subtended by arc \widehat {CD} at the center = x

Equal arcs subtend equal angles at the center of a circle.

Therefore;

Angle subtended by arc \mathbf{\widehat {AB}} at the center = x

Angle at center = 2 × angle at circumference

Therefore;

x = 2 × 50° = 100°

x = <u>100°</u>

(3) \displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}} given

By definition, we have;

Angle subtended by \widehat {AC} at the center = 3 × Angle subtended by \widehat {AB} at the center

According to circle theorem, we have;

Angle at the center = 2 × Angle at the circumference

Let <em>y</em> represent the angle subtended at the circumference by \widehat {AB}, we have;

y = 20°

\widehat {AB} = 2·y

\widehat {AC} = 3 × \widehat {AB} = 3 × 2·y = 6·y

Therefore;

\widehat {AC} = 6 × 20° = 120°

\widehat {AC} = 120°

\widehat {AC} = 2·x

Therefore;

2·x = 120°

\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}

x = <u>60°</u>

Learn more circle theorems here:

brainly.com/question/16879446

5 0
2 years ago
Read 2 more answers
Choose the SYNONYM of the vocabulary word.<br> bewilder
tatyana61 [14]

Answer:

C. Confuse

Step-by-step explanation:

Bewilder basically means confused. So, confuse would be a synonym of this word.

Hope it helps!

5 0
3 years ago
Read 2 more answers
A rectangle has length 7 inches and width 3 inches.
Naya [18.7K]

Answer:

The area of rectangle is 21 in^2

Step-by-step explanation:

we know that

The area of rectangle is equal to

A=LW

where

L is the length

W is the width

In this problem we have

L=7\ in

W=3\ in

substitute

A=(7)(3)=21\ in^2

The draw in the attached figure

therefore

The area of rectangle is 21 in^2

6 0
3 years ago
As the guest was sneaking away, the grounds keeper was 4 feet(48 inches) away and pushed an 84 inch ladder onto the suspect. The
N76 [4]

To solve this problem, draw the situation for a better comprehension:

As we can see, the situation describes a right triangle and we can use pythagorean theorem to solve it.

To do this, use the corresponding units.

For inches:

\begin{gathered} h=\sqrt[]{84^2-48^2} \\ h=\sqrt[]{7056-2304} \\ h=\sqrt[]{4752} \\ h=68.9 \end{gathered}

The suspect is 68.9 inches high.

Convert this height to feet:

68.9in\cdot(\frac{1ft}{12in})=5.74ft

The suspect is 5.74 feet high.

5 0
1 year ago
Elena has $15.25. She was given $2.75. Then she spent $12.99 on a gift for her mother. How much money does Elena have left?
gavmur [86]

Answer:

$5.01

Step-by-step explanation:

If you use this give me brainliest

4 0
3 years ago
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