Answer:
D = 9
Step-by-step explanation:
Answer: x=18, A=80 degrees
Step-by-step explanation:
By AA, we can say that DEF. So:
1. Since the lengths of corresponding sides of similar triangles in equal ratio, we can say that
2. Since corresponding angles in similar triangles are equal,
Answer:
Properties of operations help a lot in solving problems related to integers and rational numbers.
<u>Step-by-step explanation:</u>
There are four properties of operations in math. These properties are applicable in case of addition and multipication but not in case of division and subtraction.
These properties are used to solve problems involving rational numbers as well as integers.These properties are associative,commutative, distributive and identity.
commutative property is A+B=B+A
⇒5+4=4+5
and A*B=B*A
⇒5*4=4*5
associative property ( 32+14)+7= 32+(14+7)
( 8*9)*7= 8*(9*7)
Identity property is 35+0= 35
1*58=58
distributive property is 15*21
⇒ 15*(20+1)
⇒15*20+15*1
15*21
⇒ 15*(22-1)
⇒15*22-15*1
Answer:
Hyperbola
Step-by-step explanation:
The polar equation of a conic section with directrix ± d has the standard form:
r=ed/(1 ± ecosθ)
where e = the eccentricity.
The eccentricity determines the type of conic section:
e = 0 ⇒ circle
0 < e < 1 ⇒ ellipse
e = 1 ⇒ parabola
e > 1 ⇒ hyperbola
Step 1. <em>Convert the equation to standard form
</em>
r = 4/(2 – 4 cosθ)
Divide numerator and denominator by 2
r = 2/(1 - 2cosθ)
Step 2. <em>Identify the conic
</em>
e = 2, so the conic is a hyperbola.
The polar plot of the function (below) confirms that the conic is a hyperbola.
Answer:
1. a = 2
2. x = 12
3. w = 2
Step-by-step explanation:
1. ok so 2a/5 we would want to separate it to 2/5 and a/5
2/5 x a/5 = 2a/5
next we want to subtract 2/5 from 8/10
8/10 - 2/5 or 8/10 - 4/10 = 4/10
now you have a/5 and 4/10
a/5 = 4/10
now you multiply each side by 5
a/5 x 5 = a
4/10 x 5 = 20/10 or 2
a = 2
2. ok so the x is kinda on it's own for this one but we still wan to get the x and the other numbers on opposite sides
1/16x + 1/4 - 1/4 = 1/16x
1/2 + 1/4 = 3/4
now we do that same last step
1/16x / 1/16 = x
3/4 / 1/16 = 12
x = 12
3. ill do one more and if you need more help just tell me
for this on we have the w on both sides so we have to get the variable(w) and the numbers on opposite sides
2w - 2 + 2 = 2w
1/2w + 7 - 1/2w = 7
2w + 1/2w = 5/2w or 2 1/2w
7 - 2 = 5
now we have to divide each side by 5/12 or 2 1/2
5/2w / 5/2 = w
5 / 5/2 = 2
w = 2