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Monica [59]
3 years ago
12

Given that parallelogram ABCD and angle D=145 what is the measure of angle C

Mathematics
2 answers:
stiv31 [10]3 years ago
8 0
Opposite angles of parallelogram are equal.
sum of interior angles of parallelogram is 360 degrees.

Therefore,
A + B + C + D = 360
x + 145 + x + 145 = 360 
x = 35
Therefore angle C is 35 degrees 
Kisachek [45]3 years ago
4 0

Answer:is 35 degrees


Step-by-step explanation:


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The volume of a cylinder is written as V = πr²h. The volume is 324π cm³ and the height is 9 cm. Evaluating it, we will arrive at the value of radius as 6 cm. Area of the base can be obtained using the formula A = πr². If r = 6cm, area of the base will be 36π cm
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What numbers are perfect numbers
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A perfect number is a number where the sum of its divisors is equal to the number.

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Here is a short list of perfect numbers: 6, 28, 496, 8128, <span>33550336, and the numbers get way bigger as we go on.</span>

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3 years ago
Explain what percent of a dollar a quarter, 2 nickles, a dime and three pennies are
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7 0
3 years ago
Find area of the shaded region.
Monica [59]

Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}

Now, we can find the area of the triangle. We can use an alternative formula:

\displaystyle A=\frac{1}{2}ab\sin(C)

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)

The area of the shaded region is equivalent to the sector minus the triangle:

A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}

Therefore:

A_{\text{shaded}}=15\pi -18\sin(150)

Use a calculator:

A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2

The area of the shaded region is about 38.1 square centimeters.

6 0
3 years ago
(6)(−3)(−5) ........................
My name is Ann [436]

Answer:

-2? maybe

Step-by-step explanation:

5 0
3 years ago
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