Answer:
∠2, ∠4, ∠6 and ∠8 are not congruent to ∠1.
Step-by-step explanation:
From the picture attached,
p and q are the parallel lines and w is a transversal.
∠1 ≅ ∠3 [Vertically opposite angles]
∠1 ≅ ∠5 [Corresponding angles]
∠1 ≅ ∠7 [Alternate exterior angles]
Therefore, ∠2, ∠4, ∠6 and ∠8 are not congruent to ∠1.
Answer:
cuz your questions are hard
Answer:
x=8, y=25. As a point it's (8,25)
Step-by-step explanation:
here is the system:
y=x+17
y=3x+1
notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)
so it'll be:
3x+1=x+17
subtract 1 from both sides
3x=x+16
subtract x from both sides
2x=16
divide by 2
x=8
now, substitute 8 as x into one of the equations and solve for y
let's take the first one for example
y=8+17
y=25
so the answer is x=8, y=25. As a point it's (8,25)
Hope this helps!
Answer:
<em>The fraction of the beads that are red is</em>
Step-by-step explanation:
<u>Algebraic Expressions</u>
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
![\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Br%2By%2Bb%7D%20%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B1%5D)
Knowing that:
![\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7By%7D%3D%5Cfrac%7B2%7D%7B3%7D%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B2%5D)

Multiplying the equations above:

Simplifying:
![\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Bb%7D%3D%5Cfrac%7B5%7D%7B6%7D%20%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B3%5D)
Dividing [1] by r:

Substituting from [2] and [3]:

Operating:



The fraction of the beads that are red is 
Answer:
ok so this can be represented as
7.75x+675=1062.50
-675
7.75x=387.5
divide by 7.75
x=50
Hope This Helps!!!