Hey there!
Triangle CBD is congruent to triangle ABD. This means that BD is congruent to BD by reflexive property. You have two congruent angles, and one congruent side. This would be AAS theorem. The answer is D.
I hope this helps!
Please consider the attached graph.
We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.
We will use trigonometric area formula to solve our given problem.
, where angle b is angle between sides a and c.
For our given triangle 
and measure of angle b is 150 degrees.
Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.
Answer:
<h2>
5,936.76 feet/day</h2>
Step-by-step explanation:
Formula to use to get the speed is expressed as speed = Distance/Time
Given parameters
Distance = 94km
Time = 7.5weeks
Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.
For the distance:
Given the conversion
1 km = 3280.84 feet
95km = (95*3280.84)feet
95km = 311,679.8 feet
For the time:
If 1 week = 7 days
7.5weeks = (7.5 * 7)
7.5weeks = 52.5 days
Speed In ft/day = 311,679.8 feet/ 52.5 days
Speed in ft/day = 5,936.76 feet/day
<em>Hence the speed in feet per day is 5,936.76 feet/day</em>
Answer:
b. 2-independent sample t-test
Correct for this case is the best test since the result from each group are independent and we can compare the sample means between th two groups
Step-by-step explanation:
For this case the intention is try to test if scores on a test of science achievement differ for female and male 8th grade students. let's analyze the possible options for this case:
a. 2-dependent sample t-test
False is not possible since the nature of the gender is not possible to conclude tha the results from boys and girls are dependent
b. 2-independent sample t-test
Correct for this case is the best test since the result from each group are independent and we can compare the sample means between the two groups
c. Correlation
False we can't compare the means of interest with a correlation coefficient since that's not the purpose of the study
d. 2-way ANOVA
False we have just one variable between two groups so is not possible to apply a 2 way ANOVA
Calculation:
<span>3/10 </span><span><span> 3---------></span>3% discount</span><span><span>
10--------></span>the days in the discount period, the company has 10 days to pay the bill in full.</span>
Therefore
Lyman pays the
balance within the discount period
($4,200 – $750) x .03 = $103.50
the
discount is <span>$103.50</span>
