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2 years ago

What is the measure of angle 2

Mathematics

1 answer:

sashaice [31]2 years ago

5 0

The angle above 111 degrees must be 69 degrees because of supplementary angles (111+69=180)

And since the triangles are congruent, angle 2 must be 69 degrees as well.

Hope this helped.

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Phyllis invested $11,000, a portion earning a simple interest rate of

NeTakaya

Answer:

First = 1000

Second = 10,000

Step-by-step explanation:

Given the following :

Amount invested = $11,000

A portion earns 2 1/2 % interest per year

The rest earns a rate of 2% per year

Total Interst earned after a year = $255

Amount invested at each rate

Let amount invested at 2 1/2% = a

Amount invested at 2% = 11,000 - a

Simple interest = principal * rate * time

First investment :

a * 5/2% * 1

Second :

(11000 - a) * 2%

Firat investment + second = $225

a * 0.025 + (11000 - a) * 0.02 = 225

0.025a + 220 - 0.02a = 225

0.005a = 225 - 220

0.005a = 5

a = 5 / 0.005

a = 1000

Amount in first investment = 1000

Second investment = 11000 - 1000 = 10,000

3 0

2 years ago

Explain how the graph of y=|x+1|-2 will differ from the graph of y=|x|.

Natali5045456 [20]

$\bf ~~~~~~~~~~~~\textit{function transformations}\\\\\\f(x)= A( Bx+ C)+ D\\\\~~~~y= A( Bx+ C)+ D\\\\f(x)= A\sqrt{ Bx+ C}+ D\\\\f(x)= A(\mathbb{R})^{ Bx+ C}+ D\\\\f(x)= A sin\left( B x+ C \right)+ D\\\\--------------------\\\\\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\\bullet \textit{ flips it upside-down if } A\textit{ is negative}$

$\bf ~~~~~~\textit{reflection over the x-axis}\\\\\bullet \textit{ flips it sideways if } B\textit{ is negative}\\~~~~~~\textit{reflection over the y-axis}\\\\\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}$

$\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\\bullet \textit{ vertical shift by } D\\~~~~~~if\ D\textit{ is negative, downwards}\\\\~~~~~~if\ D\textit{ is positive, upwards}\\\\\bullet \textit{ period of }\frac{2\pi }{ B}$

with that template in mind,

$\bf y=\stackrel{A}{1}|\stackrel{B}{1}x\stackrel{C}{+1}|\stackrel{D}{-2}$

so is really just |x| but shifted some,

C/B = 1/1 = +1, horizontally to the right by 1 unit.

D = -2, vertically downwards by 2 units.

3 0

2 years ago

What is 2x+54+4x-6=180<br>

myrzilka [38]

Answer:

=22

Step-by-step explanation:

Subtract the numbers

2+54+4−6=180

2+48+4=180

Combine like terms

2+48+4=180

6+48=180

Subtract 48 from both sides of the equation

6+48=180

6+48−48=180−48

Simplify

Subtract the numbers

Subtract the numbers again

6=132

Divide both sides of the equation by the same term

6=132

6/6=132/6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=22

Solution

=22

BRAINLIEST PLEASE!

3 0

2 years ago

um am playing a game i forgot the math anwser the qusitoin says that the sum is 9 and thier diffrince is 1 what are the two numb

Virty [35]

Answer:

Step-by-step explanation:

All you have to do it subtract 9 from 1 than that's it your answer.

3 0

2 years ago

Twelve more than seven times a number equals the number less six. what is the solution?

xenn [34]

Answer:12+17(x)<6

Step-by-step explanation:

7 0

2 years ago