What does a triangles sides add up to

Mathematics

1 answer:

pshichka [43]3 years ago

7 0

A Triangle has the same amount of points and sides, 3.

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What is the measure of angle A ?<br> what is the measure of angle B ?

lesya692 [45]

Answer:

$\angle\,A=72^o\\\angle\,B=108^o$

Step-by-step explanation:

Notice that buy construction of a parallelogram,the angles $\angle \,A$ and $\angle \,C$ must equal each other. Then, based on the info given, we can write the following equation:

$3\,y+27^o=5\,y-3^o\\27^o+3^o=5\,y-3\,y\\30^o=2\,y\\y=15^o$

Then, angle $\angle \,A$ = $5\,(15^o)-3^o=72^o$ which is also equal to angle B

and since the addition of all internal angles of the parallelogram must equal $360^o$ , then:

$B+D=360^o-72^o-72^o=216^o$

and therefore, since $\angle \,B$ and $\angle \,D$ must be equal, then:

$\angle\,B=\frac{216^o}{2} =108^o$

8 0

3 years ago

Graph the image JKL after reflection over the y-axis.

laila [671]

Point J will be moved to points (-5,-7). Point K will be moved to (-8,-7). Point L will be moved to (-9,3).

4 0

3 years ago

F(x)=-2(x-1)^2+2 a) standard form b) graph

OverLord2011 [107]

Answer:

a) f(x) = -2x² + 4x

Explanation:

To find the standard form we need to solve the equation as:

$\begin{gathered} f(x)=-2(x-1)^2+2 \\ f(x)=-2(x^2-2x+1)+2 \\ f(x)=-2x^2-2(-2x)-2(1)+2 \\ f(x)=-2x^2+4x-2+2 \\ f(x)=-2x^2+4x \end{gathered}$

So, the standard form is f(x) = -2x² + 4x

To make the graph we will use the initial form because when the equation is written like f(x) = a(x-h)²+k, the coordinate (h,k) is the vertex of the parabola

So, in this case, the vertex of the parabola is the point (1, 2)

On the other hand, we can find a point in the graph. For example, if x is equal to 0, then f(x) is equal to:

f(x) = -2(x-1)² + 2

f(0) = -2(0-1)² + 2

f(0) = -2(-1)² + 2

f(0) = - 2 + 2

f(0) = 0

So, the parabola passes through the point (0,0) and has a vertex in the point (1, 2). Then, the graph is: