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Paul [167]
4 years ago
12

Which is a valid conclusion that can be drawn from these statements?

Mathematics
1 answer:
Debora [2.8K]4 years ago
5 0
If a quadrilateral is a rhombus, its opposite angles are congruent.
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Which expressions are equivalent? Select two answers.
professor190 [17]

Answer:

<h2>A, C</h2>

Step-by-step explanation:

The distributive property:

<em>a(b + c) = ab + ac </em>or<em> a(b - c) = ab - ac</em>

<em></em>

A.\\\\\dfrac{1}{5}(x-50)=\dfrac{1}{5}x-\left(\dfrac{1}{5}\right)(50)=\dfrac{1}{5}x-\dfrac{50}{5}=\dfrac{1}{5}x-10\\\\B.\\\\-\dfrac{1}{3}(3x+18)=\left(-\dfrac{1}{3}\right)(3x)+\left(-\dfrac{1}{3}\right)(18)=-\dfrac{3}{3}x-\dfrac{18}{3}=-x-6\\\\-x-6\neq\dfrac{1}{3}x-6

C.\\\\\dfrac{1}{2}(x+16)=\dfrac{1}{2}x+\left(\dfrac{1}{2}\right)(16)=\dfrac{1}{2}x+\dfrac{16}{2}=\dfrac{1}{2}x+8\\\\D.\\\\\dfrac{1}{8}(8x+8)=\left(\dfrac{1}{8}\right)(8x)+\left(\dfrac{1}{8}\right)(8)=\dfrac{8}{8}x+\dfrac{8}{8}=x+1\\\\x+1\neq\dfrac{1}{8}x+1\\\\E.\\\\-\dfrac{1}{4}(x+2)=-\dfrac{1}{4}x+\left(\dfrac{1}{4}\right)(2)=-\dfrac{1}{4}x+\dfrac{2\!\!\!\!\diagup^1}{4\!\!\!\!\!\diagup_2}=-\dfrac{1}{4}x+\dfrac{1}{2}\\\\-\dfrac{1}{4}x+\dfrac{1}{2}\neq-\dfrac{1}{4}x+2

4 0
3 years ago
Can someone help me to solve this question sec(x)sin(x)-2sin(x)=0 [0,2pi) ? ASAP!!!!!
BigorU [14]

Answer:

x = 0, π/3, π, 5π/3

Step-by-step explanation:

sec(x)sin(x) - 2sin(x) = 0

factor out sin(x)

sin(x)[sec(x) - 2] = 0

then solve by splitting into two parts:

sin(x) = 0 and sec(x) - 2 = 0

x = 0, π    and x = π/3, 5π/3 then plug in to original equation to check

3 0
4 years ago
When plotting points to graph a line, why can’t we plot the slope first?
aleksandr82 [10.1K]

The slope of a line is also called the gradient of a line. It is the value that describes the steepness of a line.

We can not plot the slope but we calculate the slope of a given line.

The slope comes from the line. So, unless you plot the line, you may never get the slope.

7 0
3 years ago
For problems 12 - 14, Determine whether each sequence appears to be an
marshall27 [118]

Step-by-step explanation:

⇒12)It is an arithmetic sequence.

   d=2-1=3-2=4-3=1

    a(n) = a +(n-1)d

    a(n) = 1+(n-1)1

The next three terms:

a(6) = 1+(6-1)1=6

a(7) = 1+(7-1)1=7

a(8) = 1+(8-1)1=8

⇒13)It is an arithmetic sequence.

   d=0-3=-3-0=-6+3=-3

    a(n) = a +(n-1)d

    a(n) = 3+(n-1)-3

The next three terms:

a(5) = 3+(5-1)-3=-9

a(6) = 3+(6-1)-3=-12

a(7) = 3+(7-1)-3=-15

⇒14)It is <u>not </u>an arithmetic sequence.

⇒15) a(50) = 10 +(50-1)5

                  =<u>255</u>

<u>I hope this helps</u>

<u />

8 0
3 years ago
10g ( 3 ) = log 2 – 3logy<br><br> Is it true or false?
PilotLPTM [1.2K]

Answer:

True

Step-by-step explanation:

Answer ↓

6 0
3 years ago
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