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3 years ago

I need #1 done (show work) will give brainliest

Mathematics

1 answer:

allochka39001 [22]3 years ago

6 0

Step-by-step explanation:

<u>Statement Reason </u>

∠5 and ∠7 are vertical angles Vertical angles theorem

m∠5 = m∠7 Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given

-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality

-6x + 8 = 3x - 9 - 1 Distributive property

3x + 6x = 8 + 10 Addition property

9x = 18 Addition property

x = 18/9 Division property

x = 2 Proved

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Solve the compound inequality and graph<br> Please help! :)

frozen [14]

Answer:

Step-by-step explanation:

x+4≥10 and x-6>-15

x≥10-4 and x>-15+6

x≥ 6 and x>-9

combining the two

x>-9

8 0

3 years ago

If mRS=x then write an equation that could be used to solve for x and find the value of x

Fed [463]

Answer:

a) x = 30°

b) mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

Question:

The complete question as found on Chegg website:

In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

intercepted have the following ratio of measurements:

mRS : mST :MTU : mUR=1:4:4:3

(a) If mRS = x, then write an equation that could be used to solve for x

and find the value of x.

(b) State the measure of each of the four arcs.

mRS =

mST =

MTU

MUR =

Step-by-step explanation:

Find attached the diagram related to the question

mRS : mST : mTU : mUR = 1:4:4:3

Since mRS = x

Writing the ratios of the measure of angle in terms of mRS:

mST = 4× mRS = 4×x = 4x

mTU = 4× mRS = 4×x = 4x

mUR= 3× mRS = 3×x = 3x

The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)

mRS + mST + mTU + mUR = 360°

x + 4x + 4x + 3x = 360

12x = 360

x = 360/12

x = 30°

b) The measure of angle

mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

6 0

3 years ago

A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original

Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

The initial value is b = 14500.

The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0

2 years ago

Rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c

Romashka [77]

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

Order of Operations: BPEMDAS
Expand by FOIL (First Outside Inside Last)
Standard Form: f(x) = ax² + bx + c
Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

<u>Step 1: Define function</u>

Vertex Form: f(x) = -2(x + 2)² + 6

<u>Step 2: Find Standard Form</u>

Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6
Distribute -2: f(x) = -2x² - 8x - 8 + 6
Combine like terms (constants): f(x) = -2x² - 8x - 2

8 0

3 years ago

Please help me i don't understand what my answer should be . i'll give brianliest jus please help

AnnyKZ [126]

Answer:

Step-by-step explanation:

1. ABE bc the both have a right angle. plus when added together, they make a square which means they are the same.

2. id remember how to do the second one i am so sorry

6 0

3 years ago

Read 2 more answers