Opposite sides on a parallelogram are parallel, and parallel lines have the same slope, so once we find the slope of AB, we'll know the slope of CD. Point A is (-1,6) and point B is (6,9), so the slope of AB (and by extension, CD) is

$\dfrac{9-6}{6-(-1)}=\dfrac{3}{7}$

8 0

2 years ago

Peter has twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 Stickers altogether. How many sticke

GarryVolchara [31]

Answer:

170

Step-by-step explanation:

Equations derived from given info.

P=2J
J=E+40
P+J+E=300

Use some substitution now.

P=2(E+40)
J=E+40
P+J+E=300

Substitute first and second equation into third.

2(E+40)+E+40+E=300
2E+80+E+40+E=300
4E+120=300
4E=180
E=45

Emily has 45 stickers. But we want to know what Peter has.

Use P=2(E+40)

P=2(45+40)
P=90+80
P=170

Peter has 170 stickers.

4 0

2 years ago

What is the relationship between sin(90 degrees) and sin(-90 degrees)

Volgvan

Answer:

$sin(90\°)=-sin(-90\°)$

Step-by-step explanation:

we know that

$sin(90\°)=1$

$sin(-90\°)=-1$

therefore

$sin(90\°)=-sin(-90\°)$

4 0

2 years ago

Geometry: Write a formal proof, ASAP!!!

yulyashka [42]

${\qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

As we can see in the figure, lines m and n are parallel to each other. so we can apply Angle pair properties ~

So,

$\qquad \sf \dashrightarrow \: \angle1 \cong \angle2$

[ they form corresponding angle pair ]

and it's given that :

$\qquad \sf \dashrightarrow \: \angle2 \cong\angle 3$

therefore, by using above information. we can conclude that :

$\qquad \sf \dashrightarrow \: \angle1 \cong \angle3$

7 0

1 year ago