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Arturiano [62]
3 years ago
7

Find the value of x when y=13. Y=-3x+4

Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0
Answer: x= -3

Explanation:
If y is equivalent to 13 then our equation would be

13=-3(x)+4

To receive what x is then you’d have to switch it around and find it as

3x+13=4

And 3x=-9

If you divide both sides by 3 then

x=-3

That’s the best I can do to explain it
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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
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Kryger [21]

RESPUESTA: no es un triangulo

EXPRICACION

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What value of x and y will make the polygon a parallelogram?
o-na [289]
In a parallelogram, the diagonals bisect each other.
That being the case,
6x = 72

x = 12

AND

x-5 = y
72 -5 = 67

y=67
x = 72

and the diagonals measure
144 and 134
 

5 0
3 years ago
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