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Hoochie [10]
3 years ago
9

The measure of one angle of a triangle is 55 degrees. The measure of the third angle is 20 degrees more than twice the second an

gle. All three angles of a triangle must add to 180 degrees. Find the measures of the second and third angels.
Mathematics
1 answer:
sesenic [268]3 years ago
7 0
If 1 angle is 55 and another is 55 add 20 (75) if you added them together it would be 130 so do 180 - 130 hope this helped!!
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Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
tester [92]

Given:

Polynomial is 3x^2+15x-56.

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

3x^2+15x-56+(x-8)^2

=3x^2+15x-56+x^2-2(x)(8)+8^2    [\because (a-b)^2=a^2-2ab+b^2]

=3x^2+15x-56+x^2-16x+64

On combining like terms, we get

=(3x^2+x^2)+(15x-16x)+(-56+64)

=4x^2-x+8

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 4x^2-x+8.

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3 years ago
Tickets to a movie cost $7.25 for adults and $5.50 for students. a group of friends purchased 8 tickets for $52.75. how many adu
frez [133]
There will be 5 adults and 3 students
5 0
3 years ago
Mike drove 10 miles in 30 minutes, what's the average speed in miles per hour
ollegr [7]
Mike is driving 20 miles per hour

If he is driving 10 miles in 30 mins
(1/2 an hour) if you times both by two it tells you the MPH that Mike is driving.
7 0
3 years ago
Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squ
marissa [1.9K]

Answer:

Step-by-step explanation:

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2

Adding and substracting 2x^2y^2

We get

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2

And we know a^2-2ab+b^2=(a-b)^2

So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2

Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2

And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2

5 0
3 years ago
What is the equation of the graph shown?​
OlgaM077 [116]

<em>Greetings from Brasil...</em>

As we have a line, the function will be given by the expression:

F(X) = AX + B

where

<em>A = ΔY/ΔX</em>

<em>B = where the line intersects the Y axis</em>

Looking at the graph we have already concluded that

B = - 3

A = ΔY/ΔX

A = (5 - 3)/(4 - 3)     see attached picture

A = 2

So,

F(X) = AX + B

<h2>F(X) = 2X - 3</h2>

5 0
3 years ago
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