Which types of triangles can be formed by taking the cross-section of a cube?

What is the arc measure of BDC in degrees?<br> (4k + 159)<br> P<br> (2k + 153)

andre [41]

<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

$(4k + 159)^{\circ}$

And another arc, let's call it FGH. measures:

$(2k + 153)^{\circ}$

If those arc are equal, then this equation is true:

$(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3$

Substituting k into the first equation:

$\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}$

3 0

2 years ago

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- x - x + 11 - 2x = 83<br>please show step by step!!

m_a_m_a [10]

Answer:

$x=-18$

Step-by-step explanation:

<u>Given</u>

<u /> $-x-x+11-2x=83$

<u>Step 1: Combine Like Terms on LHS</u>

<u /> $-x-x+11-2x=83\\-2x+11-2x=83\\-4x+11=83$

<u>Step 2: Subtract 11 on both sides</u>

<u /> $-4x+11=83\\-4x+11-11=83-11\\-4x=72$

<u>Step 3: Divide both sides by -4 to isolate the x-variable</u>

<u /> $-4x=72\\\\\frac{-4x}{-4}=\frac{72}{-4}\\ \\ x=-18$

<u>Final Answer</u>

<u /> $x=-18$

7 0

2 years ago

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I need this one too

iren2701 [21]

Answer:

i would say 42

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Chelsea records the number of quarts of water she gives her garden over 444 days. She rounds the measurements to the nearest \df

geniusboy [140]

Answer:

33

Step-by-step explanation:

Total=7

8

4

+7

8

4

+8

8

6

+9

8

2

start text, T, o, t, a, l, end text, equals, 7, start fraction, 4, divided by, 8, end fraction, plus, 7, start fraction, 4, divided by, 8, end fraction, plus, 8, start fraction, 6, divided by, 8, end fraction, plus, 9, start fraction, 2, divided by, 8, end fraction

Hint #22 / 3

Let's add the whole numbers then add the fractions.

\begin{aligned} \text{Total}&=(7+7+8+9)+\left(\dfrac{4}{8}+\dfrac{4}{8} +\dfrac{6}{8}+\dfrac{2}{8}\right)\\\\ &= 31+\dfrac{16}{8}\\\\ &=31+2\\\\ &=33 \end{aligned}

Total

=(7+7+8+9)+(

8

4

+

8

4

+

8

6

+

8

2

)

=31+

8

16

=31+2

=33

Hint #33 / 3

Chelsea used 33 quarts of water on her garden.

6 0

1 year ago

The average cost to own and operate a car in the United States for 2020 was $0.524 per mile.

sp2606 [1]

Answer:

y = 0.524m + b is the answerrrr

3 0

2 years ago