Answer:
the scale factor is 3/4
x = 16×3/4 = 12
Step-by-step explanation:
the only side length we have for both triangles is the short left side.
we see that we get ED from SR and need to transform 4 into 3. how do we do that ?
well,
4×f = 3
f = 3/4
that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).
therefore,
x = EF = ST×f = 16×3/4 = 4×3 = 12
Answer:
Graph A has infinite solutions, Graph B has one solution, and Graph C has no solutions
Step-by-step explanation:
<span>1 - All real numbers are rational numbers. FALSE
All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.
2 - Some rational numbers are natural numbers. TRUE
All natural number are rational numbers but not all rational numbers are natural numbers. Thus, some rational numbers are natural numbers.
3 - No real numbers are irrational numbers. FALSE
</span><span>The real numbers are made up of rational numbers and irrational numbers.
Thus, some real numbers are natural numbers.
4 - All whole numbers are integers. TRUE
The whole numbers are the natural numbers plus 0. The integers comprises of the whole numbers plus the negative of the whole numbers.
Thus, all whole numbers are integers.
5 - Some integers are natural numbers. TRUE
</span>The integers comprises of the whole numbers plus the negative of the whole numbers. <span><span>The whole numbers are the natural numbers plus 0. The natural numbers are the counting numbers, i.e. 1, 2, 3, . . . which are also part of integers.
Thus, some integers are natural numbers.
</span>6 - No rational numbers are integers.
FALSE
The rational numbers are made up of the integers and any number that can be expressed as a fraction.</span>
Thus, all integers are rational numbers and some rational numbers are integers.
Answer:
Step-by-step explanation:
I just graphed this and used the "maximum value" capability to locate the max value. It occurs at (0.363, 3).
Take a look at the picture and note that the same tick marks represent that they are congruent parts.
A. UV is parallel to JL. Yes, this is correct. They are parallel because they don't intersect at any point.
B. UW = 12KL. This is incorrect. The truth is, UW = (1/2)(KL). If this is a typo error and there should've been a '/' in between 1 and 2, then this is acceptable.
C. UW = VW. As you can see, UKVW is a rectangle. They have two pairs of congruent sides. And UW≠VW, so this is incorrect.
D. UV = UK. The diagonal of a rectangle is never equal with one of its sides. So, this is incorrect.
E. JK = 2VW. Since VW=UK and we can see that twice the length of UK is equal to JK, then this is correct.
