Answer:
D) The Y value never goes above 6.
Step-by-step explanation:
Answer:
x=5/4, y=7/4
Step-by-step explanation:
This is a similar triangles problem.
The first triangle (the smaller one) has the lengths 5, 8 and 7.
The second triangle (the lager one) has the lengths 5+x, 10, and 7+y
Let's first solve for x
In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)
since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)
For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)
here's the proportion
5/(x+5)=8/10
But before we multiply, we can simplify 8/10 to 4/5
so
5/(x+5)=4/5
Cross multiply
25=4x+20
5=4x
5/4=x
For y, we can do a similar process
We can use 8/10 or 4/5 again
and the ratio of the sides for y will be 7/(y+7)
7/(y+7)=4/5
35=4y+28
7=4y
7/4=y
Hope this helps!
<span>6 + 2x = 24
2x = 18
x = 9
answer
9
----------
</span><span>3x – 5 ≥ 7
3x </span>≥ 12
x ≥ 4
answer
<span>{4, 5, 6}
</span>
--------------
<span>4x – 3 ≥ 5
</span><span>4x ≥ 8
</span><span>x ≥ 2
answer
</span><span>{2, 3, 4}
</span>
-----------------
<span>3r ≤ 4r – 6
r </span> ≥ 6
answer
<span>{6, 7, 8, 9,10}</span>
This answer is rational, because the answer would be -9... which is rational.
Answer:
<u>α = 29°</u>
Step-by-step explanation:
<u>Given values</u>
- Opposite side = √15
- Adjacent side = 7
<u>Missing value</u>
<u>Solving</u> :
- tanα = √15/7
- α = tan⁻¹ (√15/7)
- α = 28.8107937
- <u>α = 29°</u> (closest value)
