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2 years ago

5

On Friday night, John ate pizza for dinner and had 1/2 of the pizza left over. On Saturday, he ate 1/3 of what was left. How muc

h pizza did John eat on Sunday?

1 answer:

DiKsa [7]2 years ago

3 0

I added 1/3 +1/2 for johns dinner. So I added the two denominators. And I got 1/6 of what John ate for his dinner.

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How can i use decimal models to add decimals?

Vinil7 [7]

<span>Understand that a decimal is any number written in the base-10 system....

Represent decimals using area models.

State the fraction (tenths or hundredths) that is equivalent to a given decimal.
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Compare the values of decimals (tenths or hundredths) using area models and/or a number line.</span></span>

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2 years ago

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Prove how they are congruent. Geometry:SSS

Andrej [43]

The <em>additional information</em> needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: <em>C. HJ ≅ LN</em>

<em>Recall:</em>

Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.

Thus, in the two triangles given, the two triangles has:

Two pairs of congruent sides - HI ≅ ML and IJ ≅ MN

Therefore, an <em>additional information</em> needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: <em>C. HJ ≅ LN</em>

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Learn more about SSS Congruence Theorem on:

brainly.com/question/4280133

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2 years ago

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Pls help me!!!!!!!!!!!!!!

professor190 [17]

Answer:

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Step-by-step explanation:

To find purple, you divide 162 by 3 as there are 3 people who like red for every one person who like purple. To find blue, you need to divide 162 by 3, which is 54, and then multiply it by 9 because there were 9 people who like blue for every person that liked purple.

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2 years ago

Lines AD and BC are parallel.

allochka39001 [22]

*see attachment for the missing figure

Answer:

Angle ADE = 45°

Angle DAE = 30°

Angle DEA = 105°

Step-by-step explanation:

Since lines AD and BC are parallel, therefore:

Given that angle Angle CBE = 45°,

Angle ADE = Angle CBE (alternate interior angles are congruent)

Angle ADE = 45° (Substitution)

Angle DAE = Angle ACB (Alternate Interior Angles are congruent)

Angle ACB = 180 - 150 (angles on a straight line theorem)

Angle ACB = 30°

Since angle DAE = angle ACB, therefore:

Angle DAE = 30°

Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)

Angle DEA = 180 - (45 + 30) (Substitution)

Angle DEA = 180 - 75

Angle DEA = 105°

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2 years ago

Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.

lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

$PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ$

Likewise:

$\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ$

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

$m\angle PAC=m\angle PAB+m\angle BAC$

Likewise:

$m\angle QAB=m\angle QAC+m\angle BAC$

Since ∠QAC ≅ ∠PAB:

$m\angle PAC=m\angle QAC+m\angle BAC$

And by substitution:

$m\angle PAC=m\angle QAB$

Thus:

$\angle PAC\cong \angle QAB$

Then by SAS Congruence:

$\Delta PAC\cong \Delta BAQ$

And by CPCTC:

$PC\cong BQ$

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2 years ago

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