Geometry proofs - paragraph proofs to formal proofs! Prove RS = TU

Mathematics

1 answer:

lesantik [10]3 years ago

8 0

It is proven true using the definition of congruent segments :)

You might be interested in

I need help with 5 1\2× 3 1\4 =?

sattari [20]

5 1/2 * 3 1/4

1 + 5 . 2/2 * 1 + 3 . 4/4 = 11/2 * 13/4 = 11 . 13/2 . 4 = 143/8 = 7 + 17 . 8/8 = 17 7/8

= 17 . 875

Detailed explanation of solution:

5 1/2 * 3 1/4

Transform the first mix number to improper fraction:

5 1/2 = 1 + 5 . 2/2 = 11/2

Transform the second mix number to improper fraction:

3 1/4 = 1 + 3. 4/4 = 13/4

Multiplying two fractions:

11/2 * 13/4 = 11 . 13/2 . 4 = 143/8

Since the numerator is greater than the denominator, We convert the improper fraction to mix fraction:

143/8 = 7 + 17.8/8

= 17 7/8 (Decimal: 17. 875)

Hope that helps!!!!!! ( Answer: 17 7/8, (Decimal: 17.875)

3 0

3 years ago

20 POINTS!!! belongs to a: pyramid cube rectangular prism triangular prism

Klio2033 [76]

The middle row is long on one side and short in the other side which is the shape of a rectangle.

The net is a rectangular prism

8 0

3 years ago

Simplify the square root of four over the cubed root of four.

Vikki [24]

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\\\ ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \cfrac{\sqrt{4}}{\sqrt[3]{4}}\implies \cfrac{\sqrt[2]{4}}{\sqrt[3]{4}}\implies \cfrac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}\implies 4^{\frac{1}{2}}\cdot 4^{-\frac{1}{3}}\implies 4^{\frac{1}{2}-\frac{1}{3}}\implies 4^{\frac{3-2}{6}} \\\\\\ 4^{\frac{1}{6}}\implies (2^2)^{\frac{1}{6}}\implies 2^{2\cdot \frac{1}{6}}\implies 2\frac{1}{3}\implies \sqrt[3]{2}$