We know that her mom will be home in 70 minutes and if its 4:12 then that means that her mom will be home at 5:22 because 70 minutes is 10 minutes more than an hour. If her gymnastics lessons are at 6:00 then she has 38 minutes in-between the time her mom gets home and her gymnastics lesson.
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The answer is 0 because any number elevated to 0 is 0
Answer:
A <u>tree diagram</u> shows all possible outcomes of two or more events.
Each branch is a possible outcome and can be labelled with a probability.
<u>Step 1</u>: Draw lines (branches) to represent the first set of options (slacks). Write the outcomes on the ends of the branches (brown and black).
<u>Step 2</u>: Draw the next set of branches to represent the second set of options (sweaters). Write the outcomes on the ends of the branches (tan, red and white).
<u>Step 3</u>: Draw the final set of branches to represent the last set of options (shirts). Write the outcomes on the ends of the branches (white and gray).
We assume that the events in this scenario are <u>independent</u> so the probability of the first event happening has no impact on the probability of the second event or the third event happening. Therefore, the probabilities are:
- P(brown slacks) = 1/2
- P(black slacks) = 1/2
- P(tan sweater) = 1/3
- P(red sweater) = 1/3
- P(white sweater) = 1/3
- P(white shirt) = 1/2
- P(gray shirt) = 1/2
Write these on the branches.
Given the parameters in the diagrams, we have;
4. ∆ABC ≈ ∆DEF by ASA
5. UW ≈ XZ by CPCTC
6. QR ≈ TR by CPCTC
<h3>How can the relationship between the triangles be proven?</h3>
4. The given parameters are;
<B = <E = 90°
AB = DE Definition of congruency
<A = <D Definition of congruency
Therefore;
- ∆ABC ≈ ∆DEF by Angle-Side-Angle, ASA, congruency postulate
5. Given;
XY is perpendicular to WZ
UV is perpendicular to WZ
VW = YZ
<Z = <W
Therefore;
∆UVW ≈ ∆XYZ by Angle-Side-Angle, ASA, congruency postulate
Which gives;
- UW is congruent to XZ, UW ≈ XZ, by Corresponding Parts of Congruent Triangles are Congruent, CPCTC
6. Given;
PQ is perpendicular to QT
ST is perpendicular to QT
PQ ≈ ST
From the diagram, we have;
<SRR ≈ <PRQ by vertical angles theorem;
Therefore;
∆QRP ≈ ∆TRS by Side-Angle-Angle, SAA, congruency postulate
Which gives;
- QR ≈ TR by Corresponding Parts of Congruent Triangles are Congruent, CPCTC
Learn more about congruency postulates here:
brainly.com/question/26080113
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Answer:
C
Step-by-step explanation:
3/4^2 is just 3/4 x 3/4 which is 9/16
