Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
The final solutions are C1=7, C2=14
Answer:
32/20
Step-by-step explanation:
32 and 20 are both divisible by 4. 4*8=32 and 4*5=20. So this one works. Another way to think about it is if you put them as fractions and reduced them down to their simplest form, they would form the fraction 8/5.Oct 17, 2019
its actually 10 points
x^4 + 9x^3 + 15x^2 + 9x + 14
Split 15x^2 into 14x^2 + x^2
x^4 + 9x^3 + 14x^2 + x^2 + 9x + 14 factor as
x^2 [x^2 + 9x + 14 ] + 1 [ x^2 + 9x + 14 ] take out GCF
[ x^2 + 1 ] [ x^2 + 9x + 14 ]
[ x^2 + 1 ] [ x + 7 ] [ x + 2 ]
mark brainliest
A histogram is a graph used to present ranges of data. In contrast to bar graphs or vertical graphs, these are more used in displaying complex and higher statistical data ranges. Moreover, the illustration is Uniform. Uniform in that it portrays that the data is in a rectangular shaped form.
