Answer: A
Step-by-step explanation:
If they are similar, that means the proportions for corresponding sides will be the same.
I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives <em>because</em> the XYZ picture is not lined up with the similarity it has with RST.
(A) says that side ST is corresponding with side YZ,
[] Triangle R<u>ST</u> and triangle X<u>YZ</u>
-> Correct
(A) also says that side RT is corresponding with size XZ,
[] Triangle <u>R</u>S<u>T</u> and triangle <u>X</u>Y<u>Z</u>
-> Correct
This means that option A is the correct answer.
Answer:
and 
Step-by-step explanation:
Assume that the terminal side of thetaθ passes through the point (−12,5).
In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.
Using Pythagoras theorem:
Taking square root on both sides.
In a right angled triangle
In second quadrant only sine and cosecant are positive.
and
Answer:
160 mL of fruit juice and 400 mL of sparkling water
Step-by-step explanation:
According to the statement we have that the ratio between fruit juice and sparkling water is 2/5.
Therefore, we could also say that:
200/500
with it could be done with 200 mL of fruit juice and 500 mL of sparkling water, so for 400 mL, how much would it be:
400 * 200/500 = 160
Therefore, the largest amount of the drink can be made with 160 mL of fruit juice and 400 mL of sparkling water.
Answer:
D) a reflection over the line x = 0 followed by a reflection over the line y = 0.
Step-by-step explanation:
In this problem, the original figure is in quadrant I (1) and the second image is in quadrant III (3). In order for the figure to make this transition and be 'flipped' into the opposite direction of the original figure, a reflection would have to take place. If triangle 'A' is reflected over the line y = x or y = -x, the orientation of the triangle would stay the same, meaning the point of the triangle would still face upward. If you reflect over the line x = 0 and then again over the line x = 0 (as in C), your triangle would be in the same spot. However, if you reflect triangle 'A' over x = 0, you would get a 'flipped image' into quadrant 4 and the orientation of the triangle would face downward. Following this reflection by another reflection over the line y=0 would give you the mirror image in quadrant III (3). So, D is the correct sequence of reflections.
Answer:
The sides are 24cm, 7cm, and 25cm
Step-by-step explanation:
3x+x-1+3x+1=56 <---- First we combine like terms (the 1's cancel out)
7x/7=56/7 <--- Divide by 7 to isolate the variable
x=8 <--- Now that we've solved for x we need to plug it back into each side
3(8)=24
(8)-1=7
3(8)+1=25
24+25+7=56 <---- Make sure it all adds up to 56
Hope this helps :)
