Answer:
∠SRQ = 75º, ∠TQR = 75º, ∠TSR = 105º, ∠STQ = 105º
Step-by-step explanation:
Since the quadrilaterals are similar, their corresponding angles are the same.
Answer:
13.5cm
Step-by-step explanation:
V=Bn
Step 1: 3245 - 12h
Step 2: 324 = 24 sh
324 24
Step 3: 245 245
Step 4: h-13.5
inches
What is the first error that James made when calculating the height of the cylinder?
In step 1, he substituted into the volume formula incorrectly.
In step 2, he calculated 122 incorrectly. It should be 144 rather than 24.
In step 4, the should have canceled, making the correct answer 13.5 cm.
James calculated the height of the cylinder correctly
The answer is (-21, 13) for The second endpoint.
Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Kx + Lx)/2 = Mx
(Kx + 1)/2 = -10
Kx + 1 = -20
Kx = -21
And now we do the same thing for y values
(Ky + Ly)/2 = My
(Ky + 7)/2 = 10
Ky + 7 = 20
Ky = 13
This gives us the final point of (-21, 13)
Answer:
lines a and b
Step-by-step explanation:
A negative slope makes the line face leftward so that leaves a and b.
Answer:
hcf=(1,605; 600) = 3 × 5
Step-by-step explanation:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
1,605 = 3 × 5 × 107;
1,605 is not a prime, is a composite number;
600 = 23 × 3 × 52;
600 is not a prime, is a composite number;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
Multiply all the common prime factors, by the lowest exponents (if any).
gcf, hcf, gcd (1,605; 600) = 3 × 5
gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;
The numbers have common prime factors.
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