Answer: 63 degrees (second choice)
The two angles shown are corresponding angles. They are both on the bottom side of their adjacent parallel line, and at the same time, they are also on the left side of the transversal line. This is why they are corresponding angles.
Corresponding angles are congruent if you have a set of parallel lines like the diagram shows. So that's why a = 63.
Answer:
y=14; x=72
Step-by-step explanation:
y=(21×2)/3; x=(48×21)/14
Answer:
a) 3034
b)249
Step-by-step explanation:
jellyb beans: 7*135= 945
choc buds: 9*121=1089
smarties: 12*70=840
liquorice sticks: 32*5=160
a) the total number of sweets: 945 + 1089 + 840 + 160 = 3034
b) the difference between the number of choc buds and the number of smarties: 1089 - 840 = 249
<em>P.S. Hope it helps. If you have any questions, feel free to ask them in the comment section below. I'll be happy to help. Have a wonderful day!</em>
Answer:
or 
Step-by-step explanation:
Given



Required
Determine the probability of selecting Black and Red
First, we need to calculate the number of red and black balls
The probability is calculated as thus:

Convert to mathematical expressions
![Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]](https://tex.z-dn.net/?f=Probability%20%3D%20%5BP%28Black%29%20%2AP%28Red%29%5D%20%2B%20%5BP%28Red%29%20%2AP%28Black%29%5D)
Solve for each probaility;


So, we have:
![Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]](https://tex.z-dn.net/?f=Probability%20%3D%20%5BP%28Black%29%20%2AP%28Red%29%5D%20%2B%20%5BP%28Red%29%20%2AP%28Black%29%5D)
![Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]](https://tex.z-dn.net/?f=Probability%20%3D%20%5B%5Cfrac%7B25%7D%7B100%7D%20%2A%5Cfrac%7B40%7D%7B100%7D%5D%20%2B%20%5B%5Cfrac%7B40%7D%7B100%7D%20%2A%5Cfrac%7B25%7D%7B100%7D%5D)
![Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]](https://tex.z-dn.net/?f=Probability%20%3D%20%5B%5Cfrac%7B1000%7D%7B10000%7D%5D%20%2B%20%5B%5Cfrac%7B1000%7D%7B10000%7D%5D)
![Probability = [\frac{1}{10}] + [\frac{1}{10}]](https://tex.z-dn.net/?f=Probability%20%3D%20%5B%5Cfrac%7B1%7D%7B10%7D%5D%20%2B%20%5B%5Cfrac%7B1%7D%7B10%7D%5D)



or

Answer:
a reflection across y-axis then translation of 1 unit right and 2 units up.
a clockwise rotation of 180° about the origin then a translation of 1 unit right and 3 units up
a reflection across y-axis then translation of 1 unit right and 1 unit down
a reflection across y = x then a positive rotation of 270° about the origin
Step-by-step explanation: