Answer: -2x-3y
Explanation: distribute -1/4 into 8x and 12y
We can use point-slope form (since we have the slope, and 1 ordered pair)
point-slope form is y-y1=m(x-x1)
x=-5
y=4
m=3
y-(4)=3(x-(-5)
Answer:
1) By SAS theorem, ΔADE≅ΔCDF
2) By SSS theorem, ΔBDE≅ΔBDF
Step-by-step explanation:
Consider isosceles triangle ABC (see diagram).
1. In triangles ADE and CDF:
- AD≅DC (since BD is median, then it divides side AC in two congruent parts);
- AE≅CF (given);
- ∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).
By SAS theorem, ΔADE≅ΔCDF.
2. In triangles BDE and BDF:
- side BD is common;
- DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);
- BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).
Be SSS theorem, ΔBDE≅ΔBDF.
Answer:
n = 23
x = 17
p = 0.50
Step-by-step explanation:
For a binomial experiment we have the following variables:
<u>1) Number of trials or Sample size:</u>
The number of trials is represented by n. In the given scenario 23 adults were asked about their favorite pizza, so the number of trials in this will be 23. Thus
n = 23
<u>2) Number of success</u>
The number of success is denoted by x. Number of success indicates that how many trials resulted in the favorable outcome. In the given case, choosing a sausage pizza is a success. Since 17 adults chose the sausage, so
x = 17
<u>3) Probability of success on single trial</u>
This is represented by p. It is stated that 50% adults say sausage is their favorite pizza. So,
p = 50% = 0.50
M=2 is what i got. Hope this helped
