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3 years ago

Compute the area of the triangle. (Express answer in cm²) h = 4 cm b = 13 cm

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

Answer:

area = 26 cm²

Step-by-step explanation:

The formula for the area of a triangle is: area = $\frac{1}{2}bh$

Where b = the length of the base and h = height.

In the given problem h = 4 cm and b = 13 cm, so we can plug these values into the equation and multiply:

area = $\frac{1}{2}(4)(13)=\frac{1}{2}(52)=26cm^{2}$ .

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M. Score: 0 of 1 pt

beks73 [17]

Answer:

3×5×53

Step-by-step explanation:

You can use divisibility rules to find the small prime factors.

The number ends in 5, so is divisible by 5.

795/5 = 159

The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.

159/3 = 53 . . . . . a prime number,* so we're done.

795 = 3×5×53

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* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.

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3 years ago

Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A

Fynjy0 [20]

The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = $\sqrt{( x_{1}- x_{0}) ^{2}+ ( y_{1}- y_{0}) ^{2} }$
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Answer:

Step-by-step explanation:

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qwelly [4]

Answer:

x = 17°

Step-by-step explanation:

<u>Angles And Parallel Lines </u>

If two parallel lines are crossed by a third line, corresponding angles are congruent. Also, consecutive angles are supplementary

We can clearly see in the image provided, being w and b parallel, that the corresponding angles (4x-3) and 65° are congruent. We can express that relation as

$4x-3=65$