Answer:
Step-by-step explanation:
Given that the bag contains black and red marbles.
Number of black marbles in the bag = 2
Number of red marbles in the bag = 3
Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5
Let us have a look at the formula for probability of an event E, which can be observed as:
Now, the marble chosen at first is replaced.
Therefore, the count remains the same.
Now, the <em>required probability</em> can be found as:
Answer:
x=−7
Step-by-step explanation:
Step 1: Add 5 to both sides.
−3x−5+5=16+5
−3x=21
Step 2: Divide both sides by -3.
−3x/−3=21/−3
Answer:
24
Step-by-step explanation:
Step 1: We make the assumption that 120 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=120$.
Step 4: In the same vein, $x\%=28.8$.
Step 5: This gives us a pair of simple equations:
$100\%=120(1)$.
$x\%=28.8(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{120}{28.8}$
700/10 equals 70, so the answer is 70.
Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
Step-by-step explanation:
Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.
A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.
Also, the corresponding angles of similar triangles are congruent.
Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
