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3 years ago

100POINTS! EXPLAIN YOUR ANSWER OR I REPORT

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

6 0

Answer:

<h2>linear pair</h2><h2>61°</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

vertical angle
equation
PEMDAS

<h3>tips and formulas:</h3>

A linear pair is two angles that are adjacent and whose non-common sides form a straight line
linear pair contains 180°

<h3>given:</h3>

$m\angle 1$

<h3>let's solve:</h3>

$\text{m$\angle$ 2 is linear pair with$\angle$ 1}$

$\text{according \: to \: the \: question}$

$\sf 119 + m\angle 2 = 180 \\ \sf m \angle 2 = 180 - 119 \\ \sf m \angle2= 61$

AleksAgata [21]3 years ago

4 0

<h2>Answer:</h2>

If m∠1 = 119°, then m∠2 is ___61°___ , because it is a __linear_pair__ with ∠1.

It is because we know that in a straight line, the sum of two angles is always 180°.

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Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
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3 years ago

GEOMETRY: PLEASE HELP!!

Aloiza [94]

Answer:

$GF=72$

Step-by-step explanation:

All triangles in the given figure are similar, from SAS. Notice that marked in the diagram, $CD=DE=EF=FA$ .

For triangle $\triangle CGF$ was base $GF$ , leg $CF$ contains three of these marked segments. In triangle $\triangle CHE$ with base $HE$ , leg $CE$ has two of these marked segments. By definition, similar polygons have corresponding sides in a constant proportion. Therefore, the length of GF must be $3/2$ the length of EH. Since the length of EH is given as 48, we have:

$GF=\frac{3}{2}EH, \\\\GF=\frac{3}{2}\cdot 48,\\\\GF=\boxed{72}$

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2 years ago