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natita [175]
2 years ago
15

Point O is the center of this circle. What is m CAB? A.55 B.48 C.45 D.35

Mathematics
1 answer:
Sophie [7]2 years ago
3 0
Answer is B. 48

By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.
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The length of the line segment joining the midpoints of sides AB and BC of the parallelogram ABCD is 10. Find the length of diag
solniwko [45]

Answer:

The length of the diagonal AC=20 cm.

Step-by-step explanation:

From ΔOBP and ΔABC, we have

\frac{OB}{AB}=\frac{BP}{BC}( O and P are mid points)

∠B=∠B(Common)

Therefore, by SAS rule,

ΔOBP is similar toΔABC

Thus, \frac{OB}{AB}=\frac{OB}{2OB}=\frac{1}{2}

⇒\frac{OP}{AC}=\frac{1}{2}

⇒AC=2{\times}OP

⇒AC=2{\times}10

⇒AC=20 cm

Thus, the length of the diagonal AC=20 cm.

5 0
3 years ago
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
lora16 [44]

Answer:

x ≤ 204 crates

Step-by-step explanation:

Greatest weight of the container = 27500 kilograms

Weight of other shipment = 7100 kilograms

Weight of crates = 100 kilogram

x = number of 100 kilogram crates that can be loaded into the shipping container.

The inequality:

27500 ≤ 7100 + 100x

27500 - 7100 ≤ 100x

20,400 ≤ 100x

x ≤ 20,400 / 100

x ≤ 204 crates of 100 kilogram

4 0
3 years ago
Identify a transformation of the function f(x) = (x) by observing the equation of the function g(x) = (x)+56.
umka2103 [35]

Answer:

A: a vertical shift 56 units upward I believe

7 0
3 years ago
Josh has a total of 12.5 hours of baseball practice after school five days a week. How
Marysya12 [62]

Answer:

37.5 hours

Step-by-step explanation:

12.5 for every 5 days

Question asks for 15 days

5 x 3 = 15

12.5 x 3 = 37.5 hours

6 0
3 years ago
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Hello the answer would be 225➗9 = s s=25
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3 years ago
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