Rebecca is training for the swim team tryouts. She plans to swim an average (mean) of 5.5 miles a

Mathematics

1 answer:

almond37 [142]4 years ago

5 0

<h2>Therefore she must swim =6.5 miles the seventh week</h2>

Step-by-step explanation:

Given , Rebecca plans to swim an average of 5.5 miles per week.

So, she has swum 2 miles the first week ,7 miles the second week ,6 miles the third week ,9 miles the fourth week ,5 miles the fifth week and 3 miles the sixth week.

Total she has swum =(2+7+6+9+5+3) miles in six week.

=32 miles

To reach her goal she has to swim =(5.5×7)miles= 38.5 miles at the end of seventh week.

Therefore she must swim =(38.5 - 32) miles =6.5 miles the seventh week

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Which congruence theorems or postulates could be given as reasons why ABC =XYZ HELP !!!!

lara31 [8.8K]

Answers:
A) SAS
B) ASA
E) LL

============================================================

Explanation:

Let's go through each possible answer choice

A. We can use SAS because we know that AC = XZ (horizontal sides) is one pair of congruent sides, the angle pairing is C = Z, and the other pair of sides is BC = YZ (vertical sides)

B. We can also use ASA. Note how A = X is one pair of angles, AC = XZ is the middle pair of sides, and C = Z is the second pair of angles. The side is between the angles.

C. We can't use SSS as we don't know AB = XY is true or not. There are no tick marks indicating congruence.

D. We can't use LA here because we don't know the altitudes (LA = leg altitude)

E. We can use LL here because we have two right triangles. The two pairs of legs (AC = XZ and BC = YZ) are congruent based on the tickmarks.

F. We can't use HL similar to the reasoning for choice C. We don't know the hypotenuses are congruent or not. If we knew that AB = XY, then we could use HL (hypotenuse leg).

4 0

4 years ago

Read 2 more answers

A population of beetles is growing according to a linear growth model. The initial population (week 0) is

Airida [17]

Answer:

<em>t = 19 weeks</em>

Step-by-step explanation:

<u>Linear Modeling</u>

Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict future behaviors.

The linear function can be expressed in the slope-intercept format:

y = mx + b

Another equation of the line can be used when two points are given.

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The population of beetles is a situation where we must apply linear modeling. Two points are given. For time t=0, the population is P=13. The point is (0,13). For time t=8, P=75. The point is (8,75).

Find the equation of the line:

$\displaystyle P-P_1=\frac{P_2-P_1}{t_2-t_1}(t-t_1)$