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4 years ago

Calculate 7x +5 - 3x - 7 = 10

Mathematics

2 answers:

Tatiana [17]4 years ago

7 0

7x +5 - 3x - 7 = 10 4x-2=10 4x=10+2 4x=12 X=12÷4 X= 3

vredina [299]4 years ago

6 0

You answer is 3 and here's why...

7x + 5 - 3x - 7 = 10

First you must collect like terms

And that gives us

4x - 2 = 10

Next you must simplify by removing additives

4x - 2 + 2 = 10 + 2

4x = 12

Now you must divide

4x/4 = 12/4

x = 3

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A householder pays £384 for electricity in a year. She pays in twelve equal monthly installments. How much does she pays each mo

vichka [17]

Your answer should be 32 because 384 <span>÷ 12 = 32</span>

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3 years ago

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What is the measure of angle R?

tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

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

$$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}$

Take only two sides.

$$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}$

Substitute the given values.

$$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}$

Do cross multiplication.

$\Rightarrow36\times\sin R = \sin50^\circ\times20$

sin 50° = 0.766

$\Rightarrow36\times\sin R = 0.766\times20$

$\Rightarrow36\times\sin R = 15.32$

$$\Rightarrow\sin R = \frac{15.32}{36}$

$$\Rightarrow\sin R = 0.4255$

$$\Rightarrow R = \sin^{-1}(0.4255)$

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

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Step-by-step explanation:

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lara [203]

Answer:

1. 12/13 and 5/13

2. 5/13 and 12/13

3. The sin of <A and cos of <B are congruent.

Since "Sine" is Opposite/Hypotenuse and Cosine is adjacent hypotenuse...

The opposite of angle A is 12, and the hypotenuse is 12, therefore making 12/13.

The adjacent of angle B is 12, (The adjacent side is the side next to the opposite that is not the hypotenuse) and the hypotenuse is 13, therefore making 12/13. (The hypotenuse never changes no matter how you look at the triangle.)

Sin <A = 12/13

Cos <B= 12/13

7 0

3 years ago