(x-4)² + (x-2)² = x²
(x² - 8x + 16 ) + (x² - 4x + 4) = x
2x² -12x + 20 = x
2x²-12x + 20 - x = 0
2x² - 13x + 20 = 0
(2x-5) (x-4) = 0
2x-5 = 0
2x = 5
x = ⁵/₂
x-4 = 0
x = 4
so x₁ = ⁵/₂ , and x₂ = 4
Answer:
The value of where a digit is in the number.
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
Break the shape into smaller shapes, then solve:
Large Rectangle -> 4x8=32
Tiny Rectangle at the bottom ->2x3=6
Triangle at top can be broken into two right triangles ->
(4x2)(1/2)=4
(4x2)(1/2)=4
Add: 32+6+4+4=46
Answer:
F. Obtuse isosceles
Step-by-step explanation:
Since we have an angle that is 100 degrees, we have an obtuse angle
We have two angles that are 40, which means we have two sides that are equal length, because two angles have the same measure. That means it is isosceles
The triangle is an obtuse isosceles
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:
Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:
13 = x
Verify whether x = 13 is the correct value:
This shows the proportional relationship between , and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
