3(x – 2) + 4x = 10(x + 1) ( 25 pts 4 answering right)
2 answers:
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Answer:
1a. 8
1b. AB & BC
1c. AC
2. miles
3. NO
Step-by-step explanation:
1a. AC is your hypotenuse which is C² and BC is B², so we plug it in the equation.
A²+6²=10²
A²+36=100
A²=64
A=
A=8
1b. Legs are the two shorter sides, AB & BC, which are 6 & 8 respectively.
1c. The hypotenuse is the longest side AC
2. Make lines that make the graph for a triangle with a line. My graph is linked below. Then counts the points, AC=6, BC=4, then use the pythagorean therom.
6²+4²=X²
36+16=52
=X
3. 15²+17²=19²
514=361
not possible
so it is not a right triangle
Given:
CDEF is dilated by a scale factor of to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of to form the quadrilateral C'D'E'F'. So,
From the given figure it is clear that . So,
Therefore, the measure of side E'F' is 9 units.
Answer:
Ratio of circumferences:
Ratio of radii:
Ratio of areas:
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is
- The circumference of Circle L is
Therefore, the ratio of their circumferences would be:
⇒
when simplified
The formula for circumference is , where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is , or
, then its radius is
.
If the circumference of Circle L is , then its radius is
, which is 2.
Therefore the ratio their radii would be:
⇒
⇒
when simplified
The formula for area is:
First, let's find the area of Circle K:
Now, let's find the area of Circle L:
Therefore, the ratio of their areas would be:
⇒
⇒
⇒
when simplified
I hope this helps!