Unit 1 Lesson 5 Cumulative Practice Problems Geometry Illustrative Mathematics answer key
1 answer:
Congruent distance is a term used for distance with equal measurements. EA and EB are congruent; FA and FB are also congruent
I've added as an attachment, the image of the complete question.
From the attached image of the circles, we have the following observations
- Points A and B are at the centers of both circles
- Point E is at the exact point of intersection of both circles
- Point F is also at the exact point of intersection of both circles (opposite point E).
These observations mean that:
- The distance from A to E and B to E are the equal (congruent)
- The distance from A to F and B to F are the equal (congruent)
Hence,
- <em>Distance EA and distance EB are congruent;</em>
- <em>Distance FA and distance FB are congruent;</em>
Read more about circles at:
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Recall your d = rt, distance = rate * time.
b = speed rate of the boat.
c = speed rate of the current.
keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.
likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".
what is the speed of the boat? well, 61 + c = b.
b = speed rate of the boat.
c = speed rate of the current.
keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.
likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".
what is the speed of the boat? well, 61 + c = b.
Answer:
∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)
∠PQR ≅∠PRQ: Reason; CPCTC
Step-by-step explanation:
: Reason; Given
Draw so that M is the midpoint of
: Reason; Two points determine a line
: Reason; Definition of midpoint
: Reason; Reflexive property
ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency
∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC
∠PQR ≅∠PRQ: CPCTC
Answer:
Step-by-step explanation:
Given that :
the null and the alternative hypothesis are computed as :
This is a two tailed test
This is because of the ≠ sign in the alternative hypothesis which signifies that the rejection region in the alternative hypothesis are at the both sides of the hypothesized mean difference .
Decision Rule: at the level of significance ∝ = 0 . 10
The decision rule is to reject the null hypothesis if z < - 1 . 64 and z > 1 . 64
NOTE: DURING THE MOMENT OF TYPING THIS ANSWER THERE IS A TECHNICAL ISSUE WHICH MAKES ME TO BE UNABLE TO SUBMIT THE FULL ANSWER BUT I'VE MADE SCREENSHOTS OF THEM AND THEY CAN BE FOUND IN THE ATTACHED FILE BELOW
