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levacccp [35]
3 years ago
8

On Monday, Abigail spent m minutes on her homework. On Tuesday, she spent 45 more minutes doing her homework than on Monday. On

Wednesday, she spent twice as much time doing her homework than on Monday. On Thursday, she spent 15 minutes less doing her homework than on Wednesday.
Write an algebraic expression in simplest form that represents the total number of minutes Abigail spent doing her homework on Monday - Thursday.

Please help! >.
Mathematics
2 answers:
Drupady [299]3 years ago
6 0
Simply it can actually be: m+45x2-15

This represents Minutes + 45 minutes x by 2 - 15 (due to her spending 15 minutes less!
Neko [114]3 years ago
5 0
It could be y=x+45*2-15
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Answer:

a) True

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d) True

Step-by-step explanation:

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On the other side, a continuous variable is the one that has an uncountable number of values. (usually the values are real numbers)

Considering these definitions we get:

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3 years ago
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A
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The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

  • Part A: <u>ΔABC is similar to ΔADC</u>
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Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to <u>AA similarity postulate</u>,

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in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

\overline{DA}^2 = \overline{DC} \times \overline{BD}

Which gives;

\overline{DA}^2 = 4 × 9 = 36

\overline{DA} = √(36) = 6

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Learn more here:

brainly.com/question/2269451

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Answer:

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