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2 years ago

Solve for x.........

Mathematics

2 answers:

Ket [755]2 years ago

8 0

Answer:

x = 12

Step-by-step explanation:

Angle QPR + Angle PQR = Angle HRQ

$30 + 4x + 2 = 8 + 6x \\ (6 - 4)x = 30 + 2 - 8 \\ 2x = 24 \\ x = 12$

Anettt [7]2 years ago

7 0

Answer:

17°

Step-by-step explanation:

30°+8+6x=180 ...angles on a str. line

180-30=150

150÷6=25

25-8=17°

therefore 8+6(17°)

4(17°)+2=70°

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HELP PLEASE!!!!!!!!!!!

emmainna [20.7K]

Answer:

Part 1) $y=-x^{2}$ ---> Translated up by 1 units

Part 2) $y=x^{2}+1$ ---> Reflected across the x-axis

Part 3) $y=-(x+1)^{2}-1$ ---> Translated left by 1 unit

Part 4) $y=-(x-1)^{2}-1$ ----> Translated right by 1 unit

Part 5) $y=-x^{2}-1$ ----> Reflected across the y-axis

Part 6) $y=-x^{2}-2$ ----> Translated down by 1 unit

Step-by-step explanation:

we know that

The parent function is

$y=-x^{2}-1$ ----> this is a vertical parabola open downward with vertex at (0,-1)

<em>Calculate each case</em>

Part 1) Translated up by 1 unit

The rule of the translation is

(x,y) -----> (x,y+1)

(0,-1) ----> (0,-1+1)

(0,1) ----> (0,0) ----> the new vertex

The new function is equal to

$y=-x^{2}$

Part 2) Reflected across the x-axis

The rule of the reflection is

(x,y) -----> (x,-y)

(0,-1) ----> (0,1) ----> the new vertex

The new function is equal to

$y=x^{2}+1$

Part 3) Translated left by 1 unit

The rule of the translation is

(x,y) -----> (x-1,y)

(0,-1) ----> (0-1,-1)

(0,1) ----> (-1,-1) ----> the new vertex

The new function is equal to

$y=-(x+1)^{2}-1$

Part 4) Translated right by 1 unit

The rule of the translation is

(x,y) -----> (x+1,y)

(0,-1) ----> (0+1,-1)

(0,1) ----> (1,-1) ----> the new vertex

The new function is equal to

$y=-(x-1)^{2}-1$

Part 5) Reflected across the y-axis

The rule of the reflection is

(x,y) -----> (-x,y)

(0,-1) ----> (0,-1) ----> the new vertex

The new function is equal to

$y=-x^{2}-1$

Part 6) Translated down by 1 unit

The rule of the translation is

(x,y) -----> (x,y-1)

(0,-1) ----> (0,-1-1)

(0,1) ----> (0,-2) ----> the new vertex

The new function is equal to

$y=-x^{2}-2$

3 0

3 years ago

More math help pls. :)

Step2247 [10]

By using trigonometric relations, we will see that x = 9.97°.

<h3>How to find the missing angle?</h3>

First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Where:

θ = 26°
Adjacent cathetus = k
Opposite cathetus = 55ft.

Replacing that we get:

Tan(26°) = 50ft/k

Solving this for k, we get:

k = 55ft/tan(26°) = 112.8 ft

Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:

angle = x
opposite cathetus = 55ft
adjacent cathetus = 112.8ft + 200ft = 312.8ft.

Then we have:

Tan(x) = (55ft/312.8ft)

Using the inverse tangent function in both sides, we get:

x = Atan(55ft/312.8ft) = 9.97°

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

6 0

2 years ago

The number 2400 is first increased by 30%.The value obtained is next decreased by 20%.Find the final number

kvasek [131]

<em>2400 is increased by 30%.</em>

so,

2400 + (30/100 * 2400)

2400 + (30 * 24)

2400 + 720

3120

<em>this number is decreased by 20%.</em>

so,

3120 - (20/100 * 3120)

3120 - (2 * 312)

3120 - 624

2496

therefore, the final number will be 2496.

3 0

3 years ago

A set of golf balls sells for $20. This week it is on sale for 30% off of the original price. What is the sale price of the set?

tankabanditka [31]

Answer:

$14

Step-by-step explanation:

20 x .7 = 14

8 0

3 years ago

Read 2 more answers

PLEASE HELP WITH ALL QUESTIONS WILL GIVE BRAINLIEST AND WILL GIVE 33 POINTS

MrMuchimi

uh where the question?

6 0

3 years ago