Answer:
Charlotte started with 65.
Step-by-step explanation:
In order to find what number Charlotte started with, we need to go backward. So first, multiply by 2, then multiply by 5/6. 39 multiplied by 2 is 78, which is 6/5 of the number Charlotte started with. So what we need to do is multiply 78 by 5/6. That equals 390/6, which is 65. The problem has been solved. Charlotte started with 65.
Answer:
The require value for s is 24.
Step-by-step explanation:
We are given that the expression x² + sx + 144 and we have to make it a square of a binomial.
Hence, we have to find the value of s for this purpose.
Now, let us assume that (x + 12)² = x² + sx + 144
⇒ x² + 24x + 144 = x² + sx + 144
⇒ 24x = sx
⇒ s = 24
Therefore, the require value for s is 24. (Answer)
The measure of arc XZ is equal to the measure of the corresponding central arc, which is 45 degrees. So the measure of arc XZ is 45 degrees. I learned this last year in math. I hope this helps.
Answer:
150c + 13,700 < 23,000
Step-by-step explanation:
Greatest weight that can be loaded into the container = 23,000 kilograms
Weight of each crate = 150 kilogram
Weight of other shipment = 13,700 kilograms
c = total number of 150-kilogram crates that can be loaded
This can be represented by the inequality:
150c + 13,700 < 23,000
That is, Weight of each crate multiplied by total number of 150-kilogram crates that can be loaded Plus Weight of other shipment less than greatest weight that can be loaded into the container
Answer:
The answer is the option C
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
The two equal angles are called the base angles, and the third angle is called the vertex angle
In this problem we have the isosceles triangle TIC
∠I=
-----> vertex angle
∠T=∠C -----> base angles
Remember that the sum of the internal angles of a triangle is equal to 
so
∠I+∠T+∠C=
∠I+2∠T=
Substitute
+2∠T=
Solve for angle T
2∠T=
∠T=
∠T=
