Hey there,
To find the value of x we can take the two, CD or DE and set them equal to CE.
First step is set the lines equal to each other:
Now we combine like terms:
Then we subtract 7x from both sides:
Add 6 to both sides:
Lastly we divide both sides by 2:
So the value of x would have to be 5.
Hope I helped,
Amna
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
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(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
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(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
Answer:
Option B is the correct answer.
Step-by-step explanation:
Jen decides to read 100 pages the first day and 50 pages each day thereafter.
Number of pages read by Jen per day = 50
Number of pages read by Jen on first day = 100
Ariel's progress on reading the book is represented by the linear function y = 40x + 80, where y is the total number of pages read after x days.
Number of pages read by Ariel per day = 40
Number of pages read by Ariel on first day = 40 + 80 = 120
Option A:
Jen reads 20 pages per day more than Ariel
Wrong
Option B:
Ariel reads 10 pages per day less than Jen.
Correct
Option C:
Ariel read 20 pages less the first day than Jen read.
Wrong
Option D:
The reading rate each day for Jen and Ariel is the same.
Wrong
Option B is the correct answer.
I hope this is the right answer
1. It is the subset of a group - Group sample.
2. It equally favors all members of a group sample
- Random sample.
3. It collects data on members of a group - Survey.
4. It does not equally favor all members of a group - Biased sample.
5. It includes all members of a group
- Population.
6. It analyzes data collected from a group - Mean.
I have matched all concepts in accordance with statistical use, hope it helps.
