It's important to know that rigid transformations don't change the size or shape, this means the corresponding angles between the image and preimage are congruent. Due to the reflection transformation, angle C corresponds to angle Z.
<h2>Therefore, the answer is angle Z.</h2>
Answer:
π/90 or 0.0035 units
Step-by-step explanation:
equation: <em>length of the arc = ∠of the angle/360 * circumference</em>
Substitute: <em>S = 0.4/360 * 10π</em> --> C = 2πr
Simplify: S = 1/900 * 10π
Simplify: S = π/90 ≈ 0.003489 units
Answer:
the answer is 128.4
Step-by-step explanation:
To round up a number to the nearest tenth if the hundredth is more than or 5 you add 1 to the tenth but if it less than 5 you remove the other numbers and leave the number like that which will give you 128.4.
Answer:
Part c: Contained within the explanation
Part b: gcd(1200,560)=80
Part a: q=-6 r=1
Step-by-step explanation:
I will start with c and work my way up:
Part c:
Proof:
We want to shoe that bL=a+c for some integer L given:
bM=a for some integer M and bK=c for some integer K.
If a=bM and c=bK,
then a+c=bM+bK.
a+c=bM+bK
a+c=b(M+K) by factoring using distributive property
Now we have what we wanted to prove since integers are closed under addition. M+K is an integer since M and K are integers.
So L=M+K in bL=a+c.
We have shown b|(a+c) given b|a and b|c.
//
Part b:
We are going to use Euclidean's Algorithm.
Start with bigger number and see how much smaller number goes into it:
1200=2(560)+80
560=80(7)
This implies the remainder before the remainder is 0 is the greatest common factor of 1200 and 560. So the greatest common factor of 1200 and 560 is 80.
Part a:
Find q and r such that:
-65=q(11)+r
We want to find q and r such that they satisfy the division algorithm.
r is suppose to be a positive integer less than 11.
So q=-6 gives:
-65=(-6)(11)+r
-65=-66+r
So r=1 since r=-65+66.
So q=-6 while r=1.
Answer:
The mass of the cubic granite block is 1408 g .
Step-by-step explanation:
Formula
Volume of a cube = a³
Where a is the side of the cube .
As given
one side of the cube is 8 cm .
(The figure is shown below.)
Thus
Put in the formula
Volume of a cubic granite block = 8 × 8 × 8
= 512 cm³
As given
The density of cube is 2.75 g/cm³.
Put in the formula
Mass = 2.75 × 512
Mass = 1408 g
Therefore the mass of the cubic granite block is 1408 g .
