Answer:
3 hours
Step-by-step explanation:
Number of shows : Time taken
= 4 : 2
Today, they will perform 6 shows.
Number of shows : Time taken
= 6 : x
Equate both ratios to find x
4 : 2 = 6 : x
4/2 = 6/x
Cross product
4 * x = 2 * 6
4x = 12
x = 12/4
x = 3 hours
The trainers will spend 3 hours performing shows today
Answer: 172 square centimeters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a pentagon (A) = 1/2× 5s × a
Where:
s : side of the pentagon
a: apothem
Replacing with the values given and solving for A (area):
A =1/2 x (5 x10) x 6.88
A = 172 square centimeters.
Feel free to ask for more if needed or if you did not understand something.
In 15 hours
That or 13 hours, if we don’t include the fall back for the last one tho I highly doubt that so go with 15
Answer:
The two column proof can be presented as follows;
Statement
Reason
1. RUST is a rectangle
Given
2. RU = ST ; UT = RS
Definition of a rectangle
3. ∠STU and ∠SRU are right angles
Definition of a rectangle
4. ΔURS ≅ ΔSTU
By SAS rule of congruency
5. ∠USR = ∠SUT
By CPCTC
Step-by-step explanation:
Given that the side RU, the angle ∠SRU and the side RS of triangle ΔURS are congruent to the side ST the angle ∠STU and the side UT of triangle ΔSTU, then ΔURS is congruent to ΔSTU, by the Side-Angle-Side (SAS) rule of congruency
Therefore, we have that ∠USR ≅ ∠SUT and therefore, it can be shown that ∠USR = ∠SUT using the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.
Answer: -2/7
Step-by-step explanation:
To find the slope, you use the formula
.

Now, we know the slope is -2/7.