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4 years ago

What is the equation of this graphed line?

Mathematics

1 answer:

Soloha48 [4]4 years ago

7 0

Y=2x+2
.......................

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An isosceles triangle ABC with the base BC is inscribed into a circle. Find the measure of angles of it, if measure of arc BC=10

zzz [600]

Answer:

The measures of the angles of ΔABC are

m∠A = 51° , m∠B = 64.5 , m∠C = 64.5°

Step-by-step explanation:

* Lets revise some facts in the circle

- The measure of the circle is 360°

- Equal chords intercept equal arcs

- The measure of an inscribed angle equals half the measure

of the intercepted arc

* Lets solve the problem

- ΔABC is isosceles withe base BC

∴ AB = AC

- The vertex angle is A

∵ ∠A is an inscribed angle subtended by arc BC

∴ m∠A = 1/2 the measure of arc BC

∵ The measure of arc BC = 102° ⇒ given

∴ m∠A = 1/2(102) = 51°

- In ΔABC

∵ AB = AC ⇒ proved

∴ m∠B = m∠C ⇒ base angles of isosceles Δ

- The sum of the interior angles in any Δ = 180°

∵ m∠A = 51 ⇒ proved

∴ m∠B = m∠C = (180 - 51) ÷ 2 = 129 ÷ 2 = 64.5°

* The measures of the angles of ΔABC are

m∠A = 51° , m∠B = 64.5° , m∠C = 64.5°

5 0

3 years ago

Read 2 more answers

A music store has sold 3/5 of their hip-hop CDs, but 10 were returned.Now the store has 62 Hip-Hop CDs,How many Hip-Hop CDs did

kow [346]

Answer: 130

Step-by-step explanation:

Let x be the original number of hip- hop CDs in the music store.

Given : A music store has sold 3/5 of their hip-hop CDs, but 10 were returned.

i.e. The number of hip- hop CDs in the store will be :

Original No. of CDs - CDs sold + CDs Returned

$x-\dfrac{3}{5}x+10$

If the store has 62 Hip-Hop CDs now , then required euation will be :-

$x-\dfrac{3}{5}x+10=62$

Subtract 10 from both sides , we get

$x-\dfrac{3}{5}x=52$

$\Rightarrow\ \dfrac{5x-3x}{5}=52$

$\Rightarrow\ \dfrac{2x}{5}=52$

$\Rightarrow\ x=52\times\dfrac{5}{2}=130$

Hence, the number of CDs they originally have = 130

7 0

4 years ago

Find the area of a polygon

Damm [24]

Answer:

32.71cm² is the area

7 0

2 years ago

An art teacher makes a batch of purple paint by mixing 3/4 cup red paint with 3/4 cup of blue paint. If she mikes 13 batches, ho

Pepsi [2]

She will have 19.5 cups of purple paint.
I couldn’t write the explanation of how you get the answer, but look your question up on Brainly and it’ll give you your explanation.

Hope this helped! :)

5 0

3 years ago

Read 2 more answers

How are exponential Functions related to logarithmic functions?

nasty-shy [4]

Answer:

Step-by-step explanation:

Exponential functions are the inverses of logarithmic functions, and vice versa.

8 0

3 years ago