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Furkat [3]
3 years ago
10

Please help me 10 points

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

3. definition of supplementary angles

5. defintion of congruency

6. substitution <em>(refer to statements 3 and 5)</em>

You might be interested in
The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
vampirchik [111]

Answer:

slope = -1.5

Step-by-step explanation:

A set of three or more points are said to be collinear if they all lie on the same straight line.

We have been given the following collinear set of points;

P(0, 3), Q(2, 0), R(4, -3)

This implies that P, Q, and R lie on the same line.

The slope of a line is defined as; (change in y)/(change in x)

Using the points P and Q, the slope of the line is calculated as;

(0-3)/(2-0) = -3/2 = -1.5

7 0
3 years ago
Read 2 more answers
If the mass of your father is 70kg, what is his weight (N)?
Lana71 [14]

Answer:

686.7 N

Step-by-step explanation:

mass the person is 70 kg , which is constant for the entire universe.Although weight of the person is depends upon the gravity of the planet on which he resides

W= mg

m= mass W= wight and g= Acceleration due to gravity of the planet which 9.81 m/sec^2 on earth.

therefore weight W = 70×9.81 = 686.7 N

Hence the weight of the father will be 686.7 N

8 0
3 years ago
16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.
Katyanochek1 [597]
We will use the sine and cosine of the sum of two angles, the sine and consine of \frac{\pi}{2}, and the relation of the tangent with the sine and cosine:

\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta&#10;&#10;\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta

\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0

\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}

If you use those identities, for \alpha=x,\ \beta=\dfrac{\pi}{2}, you get:

\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x

\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x

Hence:

\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x
3 0
3 years ago
What type of coordinate system are polar equations graphed in?
dybincka [34]
The polar coordinate system.
6 0
3 years ago
a retailer buys a radio from the wholesaler for $75.he then marks up the price by 1/3 and sells it at a discount of 20%.what was
soldier1979 [14.2K]
He makes it up by 1/3=.333%=$75*1.333=$99.98
he then discounts it by 20%=1/5=99.98/5=$19.99
If the original profit is $99.98-$75=$24.98
and then discounted by $19.99
it would be $24.98-$19.99
=
$4.99
3 0
3 years ago
Read 2 more answers
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