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iren [92.7K]
3 years ago
8

Solve the problems. Write the complete proof in your homework and for online (only) respond to questions or statements (if any)

that are parts of your proof or related to it.

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Step-by-step explanation:

Well we know that ZACB=LABC because

AABC is isosceles, so base angles theorem applies.

m<ACB=70°

So mzDCE=m/DEC-35° because of base angles theorem, and because mzDCE=m/ACB-m<ECB=70°-35°

Finally, DE || CB because the alternate interior angles ECB=<DEC

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Find the distance between the points (-1,-2) and (5,2). Simplified radical form.
frozen [14]

Answer:

2\sqrt{13}

Step-by-step explanation:

Using the distance formula,

\sqrt{( x_{2}-x_{1} )^2+(y_{2} -y_{1})^2 }

We just need to plug in the numbers.

So \sqrt{(-1-5)^2+(-2-2)^2}

Then we simplify it to

\sqrt{(-6)^2+(-4)^2} , to \sqrt{36+16}

Finally, we get

\sqrt{52}, which is 2\sqrt{13} when simplified.

3 0
3 years ago
Which two numbers are not integers?
likoan [24]
A and d................................
5 0
3 years ago
Read 2 more answers
Milo wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice mixt
Vanyuwa [196]

Answer:

1.5gal

Step-by-step explanation:

From the given information:

50% lemon juice + 50% lime juice is the intended mixture.

Therefore, to find quantity that would be added to 20% lemon juice and 80% lime juice, let's assume this to be x.

x of 100% and 4-x gallons of the existing 20% mix

100%x + 20%(4-x) = 50%(4)

1.00x + 0.2(4-x) = 0.5(4)

1.00x + 0.8-0.2x = 2

1.00x-0.2x = 2-0.8

0.8x = 1.2

× = 1.5gal.

3 0
4 years ago
Read 2 more answers
What about this one
kirill [66]

Answer:

3/20

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9
castortr0y [4]

Answer:

<h2>x = 5√3 inches</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

{a}^{2}  =  {b}^{2}  +  {c}^{2}

where a is the hypotenuse

Substitute the values into the above formula

The hypotenuse is 10 inches

We have

{10}^{2}   =  {5}^{2}  +  {x}^{2}

{x}^{2}  =  {10}^{2}  -  {5}^{2}

{x}^{2}  = 100 - 25

{x}^{2}  = 75

We have the final answer as

<h3>x = 5√3 inches</h3>

Hope this helps you

3 0
3 years ago
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