Hello There!
75% of 180 is 135.
Converting Percent To Decimal.
p = 75%/100 = 0.75
Y = 0.75 * 180
Y = 135
In multiplication, a negative times a positive has a negative answer. if both are positive or both are negative, the answer is positive.
5 * -5 = -25
-5* -5 = 25
in divisions say you have
-5/5 = -1
-5/-5= 1
5/-5= -1
in addition and subtraction, subtracting a negative means to add the two numbers. adding a negative means to subtract the second number.
5+ (-5) = 0
5- (-5) = 10
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
Answer: 
Step-by-step explanation:
You need to analize all the information given in the exercise.
You know that the actual height of the T-rex on the projector lens is the following:
The height of the projected T-rex is:
Make the conversion from meters to centimeters:
Therefore, the scale factor will be:
Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:
9514 1404 393
Answer:
yes
Step-by-step explanation:
The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.
We also have XS ≅ TP. By the addition property of equality, this means ...
XS +ST ≅ ST +TP
By the segment sum theorem, this means ...
XT ≅ SP
XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.
