Answer:
The rectangle ABCD and the congruent angles are shown in the diagram below.
We know that T is a midpoint.
That gives us the length of TD = length of TB, also TA = TC
Look for triangle ATD and BTC, we have so far that:
TD = TB and TA = TC
∠DAT = ∠BCT (properties of alternate angles)
∠ATD = ∠BTC (properties of opposite angles)
By the postulate SAS (Side Angle Side) we can deduce that AD = BC
Answer: TB = TD (Fourth option)
Step-by-step explanation:
Answer:
1/6 = 0.1667 = 16.67%
Step-by-step explanation:
If there are 24 students in the class and 7 of them take neither courses, we have 17 students that take one or both courses.
To find the students that took both courses, we can use the formula:
N(Spanish or French) = N(Spanish) + N(French) - N(Spanish and French)
17 = 13 + 12 - N(Spanish and French)
N(Spanish and French) = 8
Then, the number of students that are taking only French is:
N(only French) = N(French) - N(Spanish and French)
N(only French) = 12 - 8 = 4
So the probability of chosing a student that took only French is:
P(only French) = N(only French) / N(total)
P(only French) = 4 / 24 = 1/6
Answer:
(2x + 3 + 2√6)(2x + 3 - 2√6)
Step-by-step explanation:
<u>Factorization in steps</u>
- 4x^2 + 12x- 15=
- (2x)^2 + 2*2x*3 + 3^2 - 9 - 15 =
- (2x + 3)^2 - 24 =
- (2x + 3 + √24)(2x+3 - √24) =
- (2x + 3 + 2√6)(2x + 3 - 2√6)
Answer:
Standard Description: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)
Step-by-step explanation:
the explanation and answer is there in above
