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2 years ago

Plzzz help me with this

Mathematics

1 answer:

Illusion [34]2 years ago

5 0

Ok, to prove the two triangles, we need reasoning:

1) the side AC is common (as you can see, both triangles share the side AC)

2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

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choli [55]

the answer is D because its identifying addition,

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2 years ago

Solve for x! please helppp!

Colt1911 [192]

Answer:

58°+47°+x=180°[sum of angles in a triangle]

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3 0

2 years ago

Number 8 please, What are the coordinates of point C below segment AC that is partitioned at point B in a ratio of 2 to 5.

jonny [76]

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
A(5,0)\qquad C(x,y)\qquad
\qquad 2:5
\\\\\\
\cfrac{AB}{BC} = \cfrac{2}{5}\implies \cfrac{A}{C}=\cfrac{2}{5}\implies 5A=2C\implies 5(5,0)=2(x,y)\\\\
-------------------------------\\\\
{ B=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}$

$\bf -------------------------------\\\\
B=\left(\cfrac{(5\cdot 5)+(2\cdot x)}{2+5}\quad ,\quad \cfrac{(5\cdot 0)+(2\cdot y)}{2+5}\right)=\boxed{(8,0)}
\\\\\\
B=\left( \cfrac{25+2x}{7}~~,~~\cfrac{0+2y}{7} \right)=(8,0)\implies 
\begin{cases}
\cfrac{25+2x}{7}=8\\\\
25+2x=56\\
2x=31\\\\
\boxed{x=\cfrac{31}{2}}\\
-------\\
\cfrac{0+2y}{7}=0\\\\
2y=0\\
\boxed{y=0}
\end{cases}$

8 0

2 years ago

Read 2 more answers

Nathan Drives a motorcycle that travels 166.5 miles on a 4.5 gallon tank. What is the unit rate in miles per gallon.

Snezhnost [94]

Answer:

37 miles per gallon

Step-by-step explanation:

Ratios:

$\frac{166.5}{4.5} =\frac{x}{1} \\\\4.5x=166.5\\x=37$

6 0

2 years ago

Question 1: MultiplicationNew designs for a wastewater treatment tank have proposed three possible shapes, four possible sizes,

joja [24]

Answer:

36 possible designs

Step-by-step explanation:

3 x 3 = 9

9 x 4 = 36

5 0

2 years ago

Plzzz help me with this ​

Plzzz help me with this