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2 years ago

The interior angles of a triangle have measures 90°, 48°, and xº. What is the value of x?

Mathematics

1 answer:

Ahat [919]2 years ago

6 0

Answer:

42°

Step-by-step explanation:

The interior angles of a triangle always add to 180 degrees.

90+48+x=180

x=180-90-48

=42

x is 42°

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(08.01, 8.02 MC) An expression is shown below: 18x3y − 9x2y − 72xy3 + 36y3 Part A: Rewrite the expression so the GCF is factored

vitfil [10]

Answer:

9y(2x - 1)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term

= 9y(2x³ - x² - 8xy² + 4y²)

Factor the first/second and third/fourth term in the parenthesis

= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term

= 9y(2x - 1)(x² - 4y²)

x² - 4y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y), hence

18x³y - 9x²y + 72xy³ + 36y³

= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form

7 0

3 years ago

What number makes the expressions equivalent? Enter your answer in the box. 1/2(–1.4m + 0.4) =__m + 0.2A) -1.4B) 1.4C) -0.7D) 0.

Snowcat [4.5K]

Answer:

C. -0.7

Explanation:

Given the equation:

$\frac{1}{2}(-1.4m+0.4)=\boxed{\square}_{}m+0.2$

First, distribute the bracket on the left-hand side:

$\begin{gathered} \frac{1}{2}(-1.4m)+\frac{1}{2}(0.4) \\ =-0.7m+0.2 \end{gathered}$

The number that makes the given expressions equivalent is -0.7.

The correct choice is C.

6 0

1 year ago

A 180-watt iHome® is used on an average of three hours a day. Find the cost of listening to the iHome for one week at a cost of

IgorLugansk [536]

<h2>Hello!</h2>

The answer is:

The correct option is:

A. $0.49

From the statement, we know that the iHome is used on average three hours a day, and we are asked to find the cost for a week, so first, we need to calculate the total hours that the iHome is used for, and then, calculate the kilowatt-hour consumption rate.

$TotalTime_{week}=3\frac{hours}{day} *7days=21hours$

$TotalEnergyConsumption_{week}=180watt*21hours=3780watt.hour$

Now, we must remember that:

$1Kilowatt=1000watts$

So,

$3780watts=3780watts.hour*\frac{1KiloWatt}{1000watts}=3.78KiloWatt.hour$

Then, calculating the cost, we have:

$TotalCost_{week}=0.13\frac{dollar}{killowat.hour}*3.78killowat.hour=0.49(dollar)$

Hence, we have that the correct option is:

A. $0.49

Have a nice day!

7 0

3 years ago

Figure ABCD is graphed on a coordinate plane.

Phoenix [80]

1. BC is 1+3=4 (units)

2. AD is 3+5= 8 (units)

3. Draw the altitude CH from point C, as shown in the figure.

4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.

5. $CD^2=HD^2+CH^2$

$CD^2=2^2+4^2=4+16=20$

$CD= \sqrt{20}= \sqrt{4*5}= \sqrt{4} * \sqrt{5}=2 \sqrt{5}= 4.47$

6. AB=CD=4.47 because the trapezoid is isosceles.

7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)

3 0

3 years ago

Read 2 more answers

Please help me with my transition math please lots of questions I’m stuck with tonight, I’m bad at geometry

Natalija [7]

The answer is A. (AB and CD)

3 0

2 years ago