All categories

2 years ago

Find x and y. someone pls help !

Mathematics

2 answers:

valentina_108 [34]2 years ago

7 0

Hello !

3y + 12 =2(y + 30)

⇔ 3y + 12 = 2y + 60

⇔ y + 12 = 60

⇔ y = 60 - 12

⇔ y = 48

Alja [10]2 years ago

4 0

Answer:

y = 48

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

3y + 12 is an exterior angle of the triangle , so

3y + 12 = y + 30 + y + 30 ( base angles of an isosceles Δ are congruent )

3y + 12 = 2y + 60 ( subtract 2y from both sides )

y + 12 = 60 ( subtract 12 from both sides )

y = 48

You might be interested in

Calculating cos-1 ( help is gladly appreciated :) )

Alekssandra [29.7K]

Answer:

$\frac{3\pi}{4}$

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by $\frac{180^\circ}{\pi}$ giving you:

$\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}$ .

We can do this since $\pi \text{ rad }=180^\circ$ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

$\cos^{-1}(x)$ is going to output an angle measurement in $[0,\pi]$ .

So we are looking to solve the following equation in that interval:

$\cos(x)=-\frac{\sqrt{2}}{2}$ .

This happens in the second quadrant on the given interval.

The solution to the equation is $\frac{3\pi}{4}$ .

So we are saying that $\cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2}$ implies $\cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4}$ since $\frac{3\pi}{4} \in [0,\pi]$ .

Answer is $\frac{3\pi}{4}$ .

4 0

3 years ago

Solve for x in simplest form 15 = 1/3(x+9)

Lorico [155]

Heya!

Your question states: Solve for x in simplest form 15 = 1/3(x+9)

Answer: X = 36

<em>Numerical Explanation:</em>

1. Step by step

I. 15 = 1/3(x+9)

2. Simplify both sides of the equation:

II. 15 = 1/3x + 3

3. Flip the equation:

III. 1/3x + 3 = 15

4. Subtract 3 from both sides:

IV. 1/3 x +3 = 15

-3 -3

5. Multiply both sides by 3:

V. 3 * (1/3 x) = (3) * (12)

6. Final answer:

VI. x = 36

I Hoped I Helped!

~KINGJUPITER

6 0

4 years ago

Read 2 more answers

Express the number of females killed in England as a ratio to the number of males killed in England in the age range of 28-34

egoroff_w [7]

What’s the math equation

6 0

3 years ago

2x - 1 = 17...............

Alika [10]

Answer:

x = 9

Step-by-step explanation:

2x - 1 + 1 = 17 + 1

2x = 18

(2x=18)/2

x = 9

8 0

3 years ago

Read 2 more answers

30 is 20% of what number?

Nataly [62]

30 is 20% of 150. Hope this pic helps

6 0

4 years ago