You can solve all of these by using the distance formula. I have shared it below.
X=3
Explanation:
A straight line equals 180°, and they give you the one angle of 56°, so you know 56+ the other equation has to equal 180
56+4x+112=180
168+4x=180
Subtract 168 from both sides
4x=12
Divide 4 from both sides
X=3
You can check by filling it in.
56+4*3+112=
12+56+112=180
Answer:
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Step-by-step explanation:
In this question we have to test an hypothesis.
The null and alternative hypothesis are:

The significance level is assumed to be 0.01.
The sample of size n=80 gives a proportion of p=61/80=0.7625.
The standard deviation is:

The statistic z is then

The P-value is

The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Answer:
La suma de los ángulos complementarios es 90 °
Step-by-step explanation:
Answer:
Equilateral triangle: All three sides are equal.
Isosceles triangle: All two sides are equal.
Scalene triangle: No sides are equal.
Step-by-step explanation: Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.
Step 2: Calculate the side length AB using the distance formula.
Step 3: Calculate the side length BC using the distance formula.
Step 4: Calculate the side length AC using the distance formula.
Step 5: Compare the side lengths AB, BC, and AC from the previous steps to define the triangle type.