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3 years ago

Find the angles marked with with letters

Mathematics

2 answers:

Sever21 [200]3 years ago

7 0

Answer:

<A=67⁰

<B=22⁰

<C=42⁰

<h2>Mark me BRAINLIEST </h2>

Helga [31]3 years ago

6 0

Answer:

a = 67° , b = 26° , c = 69°

Step-by-step explanation:

a and 67° are corresponding angles and are congruent , so

a = 67°

------------------------------------------------------

The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is

b + 34° = 60° ( subtract 34° from both sides )

b = 26°

---------------------------------------------------

The vertex of the triangle and 42° are vertically opposite and are congruent

vertex = 42°

The triangle has 2 equal legs and is isosceles with 2 base angles congruent.

c = $\frac{180-42}{2}$ = $\frac{138}{2}$ = 69°

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3 years ago

Write an explicit rule in function form for the sequence represented by the given terms.

hram777 [196]

Answer:

The general relation about a geoemtric sequence is

$a_{n}=a_{1}r^{n-1}$

For the first sequence, we have

$3=a_{1}r^{5-1}$

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Which is a system of equations. We can isolate a variable in the first equation to replace that expression into the second equation.

$a_{1}=\frac{3}{r^{4} }$

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Therefore, the explicit rule function is

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Now, we use the same process for the second sequence.

$10=a_{1}r^{3-1} \\a_{1}=\frac{10}{r^{2} }$

The second equation is

$1440=a_{1}r^{5-1}\\a_{1}=\frac{1440}{r^{4} }$

Now, we solve the following expression

$\frac{10}{r^{2} }=\frac{1440}{r^{4} }$

We solve for $r$

$\frac{r^{4} }{r^{2} }=\frac{1440}{10}\\r^{2}=144\\ r=\sqrt{144} \\r=12$

Then

$a_{1}=\frac{10}{(12)^{2} } =\frac{10}{144}=\frac{5}{72}$

Therefore, the function that models the second sequence is

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3 years ago

9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3

liberstina [14]

Answer:

Volume of cone = 33.49 inch³

Step-by-step explanation:

Missing information;

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3 years ago

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Find the angles marked with with letters​

Find the angles marked with with letters