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inessss [21]
3 years ago
5

Rosalinda examined the angles at right and wrote the equation below.

Mathematics
1 answer:
jeyben [28]3 years ago
7 0

a.  Does her equation make sense? If so,  explain why her equation  must be true.  If it  is not correct, determine what is incorrect and rewrite the equation.

b.  If you have not already done so, solve her equation, clearly showing all your  steps. What are the measures of the two angles?

c.  Verify  that your answer is correct.

The figure is attached below

Given : (2x+1) + (x-10) = 90

(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.

(b) solve for x,  (2x+1) + (x-10) = 90

2x+1 + x-10 = 90 ( combine like terms)

3x -9 = 90 (add 9 on both sides)

3x = 99

x = 33

One angle is 2x+1 = 2(33) +1 = 67 degrees

Another angle = x-10 = 33-10 = 23 degrees

(c) one angle + another angle = 90

67 + 23 = 90

So verified



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What is the equation of the line? Write in standard form. (4,5).
dezoksy [38]

Answer:

\large\boxed{5x+4y=20}

Step-by-step explanation:

The equation of a line in slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.

Therefore we have the equation:

y=mx+5

Put the coordinates of x-intercept to the equation:

0=4m+5          <em>subtract 4m from both sides</em>

-4m=5           <em>divide both sides by (-4)</em>

m=-\dfrac{5}{4}

Finally we have the equation of a line if slope-intercept form:

y=-\dfrac{5}{4}x+5

The standard form:

Ax+By=C

Convert:

y=-\dfrac{5}{4}x+5             <em>multiply both sides by 4</em>

4y=-5x+20               <em>add 5x to both sides</em>

5x+4y=20

4 0
3 years ago
Which step is included in the graph of the function f(x)=[x-1]? (the brackets are ceiling functions symbols)
KiRa [710]

we are given

f(x)=[x=1]

where bracket means ceiling functions

we know that

Ceiling  function returns the least value of the integer that is greater than or equal to the specified number

so, we can check each options

option-A:

-4\leq x

At x=-4:

f(x)=[-4-1] =-5

For x<-3:

Let's assume

x=-3.1

f(x)=[-3.1-1] =[-4.1]=-5

so, this interval is TRUE

option-B:

-2\leq x

At x=-2:

f(x)=[-2-1] =-3

For x<-1:

Let's assume

x=-1.1

f(x)=[-1.1-1] =[-2.1]=-3

so, this is FALSE

7 0
4 years ago
Read 2 more answers
Sam has $0.85 in nickels( 0.05) and dimes (0.10) she has 2 more nickels than dimes. How many nickels and dimes does she have?
Arisa [49]
Sam has 5 dimes and 7 nickles
8 0
4 years ago
Luci cuts a board that is 5/7 yard long into pieces that are 5/14 yard long. How many pieces does she cut?
zvonat [6]

Answer:

So total number of pieces will be 2

Step-by-step explanation:

We have given the total length of the board =\frac{5}{7}yard

It is given that Luci cuts the board into pieces of =\frac{5}{14}yard long

We length of each piece = =\frac{5}{14}yard

We have to find the total number of pieces

For finding total number of pieces we have to divide the total length of board by length of each piece

So number of pieces =\frac{\frac{5}{7}}{\frac{5}{14}} = 2

4 0
3 years ago
PLEASE HELP ME ASAP I'M HORRIBLE AT MATH
boyakko [2]

Answer:

Simple, 2.4

Step-by-step explanation:

anything with N or X on the side of a number means to multiply, and 2.4*15= 36, all you need to use is the opposite of it, aka, division. 15*__=36

If possible; brainliest?

7 0
3 years ago
Read 2 more answers
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