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Alchen [17]
3 years ago
13

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0
On the first day of school last year, Cody was 148.5 cm tall.
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I need help on some geometry questions
kupik [55]

Answer: x = 40

<u>Step-by-step explanation:</u>

3x + x + 20 = 180    <em>same side (consecutive) interior angles</em>

    4x  + 20 = 180

    4x           = 160

      x           = 40

****************************************************************************

Answer: x = 24

<u>Step-by-step explanation:</u>

6x - 24 + 2x + 12 = 180       <em>linear pair (supplementary angles)</em>

               8x - 12  = 180

               8x         = 192

                 x          = 24

****************************************************************************

Answer: x = 16

<u>Step-by-step explanation:</u>

base angles of an isosceles triangle are congruent

2(2x + 15) + 6x - 10 = 180       <em>triangle sum theorem</em>

4x + 30 + 6x - 10 = 180

             10x + 20 = 180

              10x         = 160

                 x          = 16

****************************************************************************

Let ∠1 and ∠2 represent the exterior angles in the diagram and "x" represent the same side (consecutive) interior angle with ∠1.

Then m∠1 + x = 180     <em>same side interior angle theorem</em>

and m∠2 + x = 180      <em>linear pairs are supplementary </em>

m∠1 + x = m∠2 + x     <em>transitive property</em>

m∠1  = m∠2               <em>subtraction property of equality</em>

   ∠1 ≈ ∠2                   <em>definition of congruency</em>



8 0
3 years ago
The town of lantana needs 14,000 for a new playground. Lantana elementary school raised 5,258, Lantana middle school raised 2834
Pavlova-9 [17]

Answer:

about 12000 but real answer is 12224

Step-by-step explanation:

6 0
2 years ago
10 points!!
torisob [31]
N the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
y=mx+b
Where m is the slope and b is the y-intercept.
Example
Graph the equation
y−2x=1
y−2x=1
rewrite in slope-intercept form
y=2x+1
y=2x+1
Identify the slope and the y-intercept
m = 2 and b = 1
Plot the point corresponding to the y-intercept, (0,1)
picture23
The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)
picture24
And once you have your second point you can just draw a line through the two points and extend it in both directions.
picture25
You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.
Our second point = (1, 3)
y−2x=1
y−2x=1
3−2⋅1=3−2=1
3−2⋅1=3−2=1
Our second point is a solution to the equation i.e. the line we drew is correct.
A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.
y=mx
y=mx
In a direct variation the nonzero number m is called the constant of variation.
You can name a function, f by using the function notion
f(x)=mx+b
f(x)=mx+b
f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.
A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.
The most basic function in a family of functions is called the parent function. The parent function of all linear functions is
f(x)=x
4 0
3 years ago
Evaluate the expression. 42+5⋅32−42÷23 CLEAR CHECK 12.625 222 45 59
lidiya [134]

Answer:

\frac{4604}{23} or  200.173913

Step-by-step explanation:

42+(5)(32)-\frac{42}{23} \\\\=42+160-\\\frac{42}{23}\\\=202-\frac{42}{23} =\frac{4604}{23}

5 0
3 years ago
(-2-3 radical2) (5-4i radical2)
gavmur [86]
* means multiply, sqrt=radical
expand
-10+sqrt2*8i-sqrt2*15+24i
group
(-10-sqrt2*15)+(sqrt2*8+24)i
not exactly sure though
3 0
3 years ago
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