Answer:
∠KYR = 43 degrees
Step-by-step explanation:
1. We know that the entire angle equals to 90 degrees because it is a right angle.
First you have to find the value of c and to do this, you add the values of both angles and make it equal to 90
3c + 64 + 5c + 82 = 90]
8c + 146 = 90
- 146 -146
8c = -56
c = -7
Now we have to find the value of angle KYR so just plug in -7 for c
3(-7) + 64 = 43
Can get brainliest please?
Answer:
(c) Triangle Z Y X is similar to triangle C B A
Step-by-step explanation:
Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.
__
<h3>corresponding sides</h3>
The side lengths, smallest to largest, for the two triangles are ...
- 3 cm -- ZY
- 6 cm -- YX
- 7 cm -- XZ
And for the other triangle, ...
- 6 cm -- BC
- 12 cm -- AB
- 14 cm -- AC
<h3>corresponding vertices</h3>
The points joining the each side to the next one longer, in order for the two triangles, are ...
Y, X, Z and B, A, C
The vertices corresponding to ZYX in the same order are CBA.
triangle ZYX is similar to triangle CBA
The answer: -5 ≤ y ≤ 6
The range is all the possible output or y values of the function.
Our first point is at (1, 6) and our second point is at (-4, -5)
That means our y values are 6 and -5. Let's set up a compound inequality to represent our function.
-5 ≤ y ≤ 6. This means that x is greater than or equal to -5 and less than or equal to 6.
Answer:
4 games
Step-by-step explanation:
<em>Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl.</em>
Let x number of games played
y represents total cost to bowl
- Fannin Lanes charges 2.50 per games plus 2 for shoe rental
y = 2.50x + 2
- Fun Time Lanes charges 2 per game plus 4 for shoe rental.
y = 2x + 4
<u><em>If total cost to bowl be same at both center</em></u>
2.50x + 2 = 2x + 4
2.5x - 2x = 4-2
0.5x = 2
x = 4
Hence, 4 games will the cost to bowl be the same at both center.
Answer:
#1) x=38
#2) x=12
Step-by-step explanation:
For (1)
Since its a triangle we know that all 3 interior angles added up is gonna eqaul 180 degrees. So we already have 2 angles which are 21 and 17. You add those up and you’d get 38. Now since the final angles is unknown we can just make a simple equation of 38+x=180 since we know 2 angles and we need 1 more and a triangle is 180 degrees alli ddded up together. You’d get 142 for that angle. X is adjacent to that angle and they form a straight line so it also has to be 180. We got 1 side and so we subtract 180-142= 38. X will be 38.
For (2)
Since its 2 parallel lines cut by a transversal and we have two same side interior angles we know its gonna be supplementary Which means that both those angles added up will be 180. Now we have the two different angles so we add them up and solve for x. (10x+17)+(3x+7)= 180. Commbine like terms which will turn out to be 13x+24=180. Subtract 24 on both sides. 13x= 156. Solve for x by diving 13 on both sides which will lead to x= 12