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4 years ago

Please help !!!!finding angle measures using triangles

Mathematics

2 answers:

vaieri [72.5K]4 years ago

6 0

Answer:

135

Step-by-step explanation:

The angles of a triangle will always add up to 180 so angle BAC will be

180-69-66

that is equal to 45

to find angle x it is

180-45

which is 135

The faster way to do this is simply 69+66

xeze [42]4 years ago

5 0

Answer:

135°

Step-by-step explanation:

ABC=Triangle(180°)

=69°+66°

=135°

=180°-135°

=45°(A

x and A=straight line angle(180°)

=180°-45°(A)

=135°

Hope this will help ya!

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Complete a piecewise function that describes the graph.

trapecia [35]

Answer:

$y=\left \{ \begin{array}{l}-x^2-4x-1,\ x$

Step-by-step explanation:

Left part of the graph is the graph of the parabola passing through the points (-2,3), (-3,2) and (-4,-1). If the equation of the parabola is $y=ax^2+bx+c,$ then

$3=a\cdot (-2)^2+b\cdot (-2)+c\Rightarrow 3=4a-2b+c\\ \\2=a\cdot (-3)^2+b\cdot (-3)+c\Rightarrow 2=9a-3b+c\\ \\-1=a\cdot (-4)^2+b\cdot (-4)+c\Rightarrow -1=16a-4b+c$

Subtract first two equations and last two equations:

$-1=5a-b\\ \\-3=7a-b$

Suybtract these two equations:

$-2=2a\Rightarrow a=-1$

So $-1=5\cdot (-1)-b\Rightarrow b=-5+1=-4$

Substitute into the first equation:

$3=4\cdot (-1)-2\cdot (-4)+c\Rightarrow c=3+4-8=-1$

The equation of the parabola is $y=-x^2-4x-1$

The right part of the graph is translated 1 unit to the right and 1 unit down graph of the function $y=\dfrac{1}{2}|x|$ , so it has the equation $y=\dfrac{1}{2}|x-1|-1$