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3 years ago

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Mathematics

2 answers:

4vir4ik [10]3 years ago

8 0

Answer: x+1 =(7)+1=8

Step-by-step explanation:

babymother [125]3 years ago

4 0

Answer:

m∠RPQ = 8°

Step-by-step explanation:

m∠QRS = 4x - 15

m∠RPQ = x + 1

m∠PQR = x - 2

m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS

m∠QRS = m∠RPQ + m∠PQR {Exterior angle property of triangle}

4x - 15 = x +1 + x - 2

4x - 15 = x + x + 1-2 {Combine like terms}

4x - 15 = 2x - 1 {Subtract 2x from both sides}

4x - 2x - 15 = - 1

2x - 15 = - 1 {Add 15 to both sides}

2x = -1 + 15

2x = 14 {Divide both sides by 2}

x = 14/2

x = 7

m∠RPQ = x + 1 = 7 + 1 = 8°

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A farmer has a rectangular field that measures 100 feet by 150 feet. He plans to increase the area of the field by 20%. He will

aliya0001 [1]

Answer:

(100 + x) x (150 + x) = 18,000 ft^2

Step-by-step explanation:

area of a rectangle = length x width

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3 years ago

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Gekata [30.6K]

Answer:

The third answer is correct

Step-by-step explanation:

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3 years ago

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 3.0, b = 4.0, C = 58°

KATRIN_1 [288]

Answer

A = 46.3°

B = 75.7°

c = 3.5

Explanation

We will be using both Cosine and Sine rule to solve this.

For Cosine rule,

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as

c² = a² + b² - 2ab Cos C

a = 3.0

b = 4.0

C = 58°

c² = 3² + 4² - 2(3)(4)(Cos 58°)

c² = 9 + 16 - (24)(0.5299)

c² = 25 - 12.72 = 12.28

c = √12.28 = 3.50

To find the other angles, we will now use Sine Rule

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

$\frac{\text{ Sin A}}{a}=\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}$

So, we can use the latter parts to solve this

$\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}$

B = ?

b = 4.0

C = 58°

c = 3.5

$\begin{gathered} \frac{\text{ Sin B}}{4}=\frac{\text{ Sin 58}\degree}{3.5} \\ \text{ Sin B = }\frac{4\times\text{ Sin 58}\degree}{3.5}=0.9692 \\ B=Sin^{-1}(0.9692)=75.7\degree \end{gathered}$

We can then solve for Angle A

The sum of angles in a triangle is 180°

A + B + C = 180°

A + 75.7° + 58° = 180°

A = 180° - 133.7° = 46.3°

Hope this Helps!!!

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2 years ago

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Brums [2.3K]

Answer:

Part A) plot 1 and -2.5.

B) The opposite of 2 is -2. The only number that has its own opposite is 0. The first statement is false.

The opposite of 1.5 is -1.5, so the opposite of the opposite of 1.5 is equal to the opposite of -1.5, which is 1.5. The second statement is true.

Hope this helps sorry for not answering earlier

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3 years ago