Answer:
A) x=46
Step-by-step explanation:
The triangles are congruent, which means the angles are congruent as well. Therefore, we can set angles ADC and ABC equal to each other to solve for x:
100=2x+8
92=2x
46=x
Therefore, A is correct
Answer:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
reject H0
Step-by-step explanation:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
To compute the test statistic :
We need the sample mean and sample standard deviation :
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Using calculator :
Sample mean, m = 15.887
Standard deviation = 0.13
Test statistic :
(m - μ) / s/sqrt(n)
(15.887 - 16) / 0.13/sqrt(10)
-0.113 / 0.0411096
= - 2.749
Tcritical at 95%
Tn-1, 0.025
T10,0.025 = 2.262
Since the test statistic value is less than the critical value, reject H0
First, we would need to divide the number of portraits he can paint (919,191) by the amount of weeks it takes (777), which gives us 1,183 portraits per week. Then, we have to multiply that number by 444, which gives us 525,252, which is our answer to this problem. So Luke can paint 525,252 portraits in 444 weeks.
Answer: No
Step-by-step explanation:
Answer:
it depends
Step-by-step explanation:
The required tools are a compass and straightedge. A pencil or other drawing tool will also be useful (or you can use the marker in the compass).
__
Generally, follow the applicable directions. The specific directions vary, depending on the construction you want to do. Numerous web sites and videos can show you step-by-step. (Search for "construction of ...") for whatever you're trying to construct.
__
To construct a circle (or part of a circle), set the compass to the appropriate width, place the pointed end on the center of the circle, and rotate the marker in a circle around that point, taking care to ...
- keep the pointed end in the same spot,
- keep the width of the compass the same until your circle is complete.
To construct a line through two points, align the edge of the straightedge with the two points, and make a mark along that edge using your marking tool. (You may find that you need to make a slight adjustment in your alignment to account for the width of the marker).
All other constructions use combinations of these skills.