Answer:
a prime number that divides exactly into another given number
Step-by-step explanation:
Here, DH = HF
x+3 = 3y
x = 3y-3 ----(I)
GH = HE
4x-5 = 2y+3
4x = 2y+8
Substitute value of x,
4(3y-3) = 2y+8
12y-12 = 2y+8
12y-2y = 12+8
10y = 20
y = 2
Now, substitute it in equation 1,
x = 3(2)-3
x = 6-3 = 3
So, your final answer is x=3 & y=2
Answer:
r = 40 miles / hour
Step-by-step explanation:
<em><u>Formula</u></em>
d = r * t
<em><u>Givens</u></em>
d = 16 miles
t = 24 minutes = 24/ 60 minutes in an hour = 0.4 hours
r = ???
<em><u>Substitute and solve</u></em>
16 miles = r * 0.4 hours Divide by 0.4
16/0.4 = r Switch sides
r = 16/0.4
r = 40 miles / hour
Answer:
Option 4: <u>(2x + 16)° + (x)° = 180°</u>
Step-by-step explanation:
See the attached figure.
For a quadrilateral inscribed in a circle
The opposite angles are supplementary.
So, ∠D + ∠B = 180°
From the figure:
∠B = x° and ∠D = (2x+16)°
∴ <u>(2x + 16)° + (x)° = 180°</u>