Answer:
Step-by-step explanation:
The angle that is on the same side of the transversal as 102 but to the right of it, is supplementary to 102. Call this angle y
y + 102 = 180 Subtract 102 from both sides
y +102-102 = 180-102 Combine
y = 78
y and x are vertically opposite each other. They are equal
x = y
x = 78
Area of rhombus =
where x and y are diagonals.
Given length of one diagonal is 4.5 dm
So, let x= 4.5dm
1 dm = 10 cm
4.5dm= 45cm
area =
so,
y = 24 cm
The two diagonals are x= 45cm and y = 24cm
Since diagonals bisect each other, we get 22.5cm and 12cm
Using right triangle formula
r = 10.588cm
Distance of center to the side = = 5.294 cm
1 liter = 1000 milliliters.
To work out how much is in the pitcher, we do 1000 x 3 because there are 3 liters, and each liter is 1000ml.
Therefore, the answer is 3000 milliliters.
2x-1=7x+44 is equal to -9. The first step is to add one on both sides to get x by itself. Right now you should have 2x= 7x+45. Then you subtract 7x from both sides. You should have -5x=45. Now divided -5 on both sides. You should get the answer x=-9. By the way remember only subtract variables from other variable and regular numbers only from other regular numbers. Hope this helps, if you have any questions please comment.
Answer:
<u>part</u><u> </u><u>1</u><u>:</u>
see in the picture, E is the centre of the kite
1) AC = 2.EC = 40
2) CD = sqrt( ED² + EC² ) = sqrt(21² + 20²) = 29
3) ABE = 90⁰ - 51⁰ = 39⁰
4) BCE = BAE = 51⁰
<u>p</u><u>a</u><u>r</u><u>t</u><u> </u><u>2</u><u>:</u>
we have:
3x + 7 = (3x - 1 + 8x)/ 2
<=> 3x + 7 = 5.5x - 0.5
<=> 2.5x = 7.5
<=> x = 3
5) with x = 3 => UV = 3.3 - 1 = 9 - 1 = 8
6) XY = 3.3 + 7 = 9 + 7 = 16
7) TW = 8.3 = 24
<u>9</u><u>)</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>w</u><u>i</u><u>d</u><u>t</u><u>h</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>b</u><u>a</u><u>s</u><u>e</u> is x (x > 0)
we have:
28.5 = (x + 25)/2
<=> x + 25 = 57
<=> x = 32