Answer:
x=12 ADB= 56 BDC= 54
Step-by-step explanation:
ADB and BDC are complementary, so they add up to 90 degrees. In other words ADB+BDC= 90 So I can input my knowns into the equation
(3x+10) + (4x-4) = 90
I combined like terms to give me 7x+6=90
Then I subtract 6 from both sides giving me 7x=84
Last I divide 7 on both sides. x=12
Then I input the x (12) into the equation and solve it from there
3(12)+10 and 4(12)-4
3(12)+10=56
4(12)-4=54
. . . I think. Hope this helps!
You can calculate it using the law of cosines: c^2=a^2+b^2-2*a*b*cos(C)
your triangle is
CD=15=a
CE=?=b
DE=CE+3=b+3=c
and C=90°
-> insert those values, with c substituted with b+3 to remove c
c^2=a^2+b^2-2*a*b*cos(C)
(b+3)^2=15^2+b^2-2*15*b*cos(90)
cos(90)=0->
(b+3)^2=15^2+b^2
b^2+2*3*b+3^2=225+b^2
6b+9=225
6b=216
b=36=CE
DE=CE+3=36+3=39
Step-by-step explanation:
l=24ft and
l=3x-4ft,x=width
i.e.24=3x-4
i.e x=28/3ft..
Answer:
A, B, D
Step-by-step explanation:
Given that :
24 / 18 = 4 / 3 = 1.333
Comparing the options solutions for the options given :
3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333
4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333
5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18
8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333
Hence, expressions which are equal are :
A, B and D
Answer:
Step-by-step explanation:
First let's find the circle without the gray area. We would have:

Next let's find the area of the circle with the gray area. We would have:

Now we subtract and get:

HOPE THIS HELPS