The phrase that best completes the student's proof (that quadrilateral ABCD is a parallelogram)? Angle DBC and angle ADB <u>form a pair of alternate interior angles which are congruent.</u> The answer is C.
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![\left(x^4y^4\right)^\frac{1}{3}=\left(x^4\right)^\frac{1}{3}\left(y^4\right)^\frac{1}{3}=x^{4\cdot\frac{1}{3}}y^{4\cdot\frac{1}{3}}=x^\frac{4}{3}y^\frac{4}{3}=x^{1+\frac{1}{3}}y^{1+\frac{1}{3}}\\\\=x^1x^\frac{1}{3}y^1y^\frac{1}{3}=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}](https://tex.z-dn.net/?f=%5Cleft%28x%5E4y%5E4%5Cright%29%5E%5Cfrac%7B1%7D%7B3%7D%3D%5Cleft%28x%5E4%5Cright%29%5E%5Cfrac%7B1%7D%7B3%7D%5Cleft%28y%5E4%5Cright%29%5E%5Cfrac%7B1%7D%7B3%7D%3Dx%5E%7B4%5Ccdot%5Cfrac%7B1%7D%7B3%7D%7Dy%5E%7B4%5Ccdot%5Cfrac%7B1%7D%7B3%7D%7D%3Dx%5E%5Cfrac%7B4%7D%7B3%7Dy%5E%5Cfrac%7B4%7D%7B3%7D%3Dx%5E%7B1%2B%5Cfrac%7B1%7D%7B3%7D%7Dy%5E%7B1%2B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3Dx%5E1x%5E%5Cfrac%7B1%7D%7B3%7Dy%5E1y%5E%5Cfrac%7B1%7D%7B3%7D%3Dx%5Csqrt%5B3%5D%7Bx%7D%5Ccdot%20y%5Csqrt%5B3%5Dy%3Dxy%5Csqrt%5B3%5D%7Bxy%7D)
Some fractions that are equal to 2/3 are: 4/6 and 6/9
(You just have to multiply the numerator and denominator by the same number.)
Decimal: 0.666...
(Divide the numerator by the denominator.)
Percent: 66.6%
(Multiply the decimal by 100.)
<em>Hope it helps</em> :)
Answer:
110
Step-by-step explanation:
In the triangle angle theorem the angles will all add up to equal 180.
180-20-50=110
Answer:
Solution 2. A right triangle is formed with the bottom of the flagpole, the snapped part, and the ground. One leg is of length $1 ...
Missing: picture way barely
Step-by-step explanation:
A flagpole is originally $5$ meters tall. A hurricane snaps the flagpole at a point $x$ meters above the ground so that the upper part, still attached to the stump, touches the ground $1$ meter away from the base. What is $x$?
$\text{(A) } 2.0 \qquad \text{(B) } 2.1 \qquad \text{(C) } 2.2 \qquad \text{(D) } 2.4 \qquad \text{(E) } 2.5$
Solution 1
The broken flagpole forms a right triangle with legs $1$ and $x$, and hypotenuse $5-x$. The Pythagorean theorem now states that $1^2 + x^2 = (5-x)^2$, hence $10x = 24$, and $x=\boxed{2.4}$.
(Note that the resulting triangle is the well-known $5-12-13$ right triangle, scaled by $1/5$.)
Solution 2
A right triangle is formed with the bottom of the flagpole, the snapped part, and the g
