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Mathematics

2 answers:

Finger [1]3 years ago

7 0

Answer:

Step-by-step explanation:

When you put something in parenthesis by a number, your multiplying each individual number by the number outside of parenthesis. Therefore, 5(2) = 10 and 5(7) = 35 and that equals 45, and 5(2+7) you distribute the 5 to both numbers and get 10+35 which equals 45 aswell.

xxTIMURxx [149]3 years ago

6 0

Answer:

D is the answer

Step-by-step explanation:

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Solve

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

Ix-4I+3=3

subtracting 3 from both sides (*as per general practice in equations unknown are on one side and constants on the other side or simply taking 3 to other side of the equation)

Ix-4I+3-3=3-3

Ix-4I=0

x-4=0

x-4+4=0=4

x=4

checking:

I4-4I+3=3

I0I+3=3

3=3

8 0

3 years ago

Rewrite each equation to solve for m.

Damm [24]

Answer:

1. M = 7-5n

2. M = 5n - 8 / 4

3. M = - 8n - 1 / 3

4. M = - -5n-13/3

7 0

3 years ago

Determine the values of the unlabeled parts of the triangle.

____ [38]

Answer:

∠Q = 63.4º, PQ = 2, QO = 4.47

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.

Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).

90 + 26.6 + ∠Q = 180

∠Q + 116.6 = 180

∠Q = 180 - 116

∠Q = 63.4°

We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:

$\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47$