Sorry it is not a good pic and can you help please

Mathematics

1 answer:

butalik [34]2 years ago

6 0

3/4 and I can’t really see the others sorry hope that answer helps

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I need the answer :(

madreJ [45]

Answer:

z = 62

y = 117

Step-by-step explanation:

118 and z are supplementary.

z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.

z = 180 - 118 Do the subtraction

z = 62 Answer

The interior angles of all quadrilaterals (convex) add up to 360 degrees.

y + z + 84 + 97 = 360 Given

62 + y + 84 + 97=360 Add

y + 243 = 360 Subtract 243 from both sides

y = 360 - 243 combine

y = 117 Answer

5 0

3 years ago

The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is soli

stiks02 [169]

The first line through points (-3, 0) and (-4, -1) is the orange line.

The second line, through (1, 1) and (2, -1) is the purple line.

Since they are both shaded below, the intersection of the shaded regions, is the region colored in blue.

Both lines are included, since they are solid lines.

The equation of the first line can be found as follows:

the slope is $\frac{0-(-1)}{-3-(-4)}=\frac{1}{1}=1$ , thus, the equation is:
$y-0=1(x-(-4))\\\\y=x+4$

The equation of the second line can be found as follows:

the slope is $\frac{1-(-1)}{1-2}= \frac{2}{-1}=-2$ ,

thus the equation of the second line is :

$y-1=-2(x-1)\\\\y-1=-2x+2\\\\y=-2x+3$

We have to decide on the direction of the inequality sign, so we pick a point, for example (0, 4) which is not in the colored regions of the lines,

so we write the inequalities so that they do not hold for (0, 4)

line 1:

y≥x+4

4≥0+4=4 is true, so we change the sign and write : y≤x+4

similarly, line 2:

y≤-2x+3

4≤-2*0+3=3, which is not true, so we have the correct direction.

Note that since the lines were solid, we include the equality case:

Answer:

the shaded region is the solution to the system of inequalities:

i) y≤x+4
ii) y≤-2x+3