Answer:
4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.
Answer=8
Step-by-step explanation:
Answer:
C. both student 1 and student 2
Step-by-step explanation:
Dilation does not change any angles, so the triangles are similar and the trig functions of corresponding angles will be identical.
The slope of CB is -1/3 and the slope of BA is 3, so they multiply together to give -1. That means the segments are at right angles and the triangle is a right triangle.
Both the premise and the conclusion of each student is correct.
Answer:
7/8
Step-by-step explanation:
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.
WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B
Diameter of sphere B is 42
Radius = diameter /2
Radius = 42/2= 21
Radius of sphere B = 21
RAdius of sphere A times x= radius of sphere B
24 * x= 21
Divide by 24 on both sides
x= 21/ 24
divide top and bottom by 3
x= 7/ 8
To solve for the ounces of bleach that Jack used, we utilize the formula below
Bleach = (Percentage of bleach)*(Total ounces of cleaning solution)
Bleach = 0.12*150 ounces
Bleach = 18 ounces
<em>ANSWER: 18 ounces of bleach</em>
