Answer:
418
Step-by-step explanation:
fig 2 = fig 1 + 5
fig 3 = fig 2 + 7 or fig 1 +5+7 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
4+5+7+9+11+13+15+17+18+19+21+23+25+27+29+31+33+35+37+39
No, because (2,0) is a coordinate. x=2 and y=0. So just plug in the numbers where there's x or y with the appropriate number, (2 or 0). So in the first equation, x-2y=0, when you pug in the numbers, 2-2(0)=0, you know it's wrong because 2-0=0 isn't correct. So no. the point (2,0) is not a solution to the first equation. Now plug in the numbers for the second coordinate. You get 2(2)-3(0)=1. So 4-0=1. This is once again false no no. (2,0) satisfies neither equations.
Answer:
I drew more points as uploaded picture.
We have, arc BD + 210 + 90 = 360 deg
(sum of all arcs on circle)
=> arc BD = 360 - 210 - 90 = 60 deg
Here we have angle CBD = (1/2) x arc CD = (1/2) x 90 = 45 deg
(property of angle on circle)
=> angle ABD = angle ABC - angle CBD = 180 - CBD = 180 - 45 = 135 deg
( A, B, C lie on same line => ABC = 180 deg)
Otherwise, we have:
angle BDA = (1/2) x arc BD = (1/2) x 60 = 30 deg
We have: x + angle BDA + angle ABD = 180 deg
(sum of all angles in a triangle)
=> x = 180 - angle BDA - angle ABD
=> x = 180 -135 - 30
=> x = 15 deg
Hope this helps!
:)
Answer:
Step-by-step explanation:
Gemma had 25.75 grams of frosting
Used 15.5 grams
<u>Left over:</u>
- 25.75 - 15.5 = 10.2 grams
the answer to your question is 7