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solmaris [256]
3 years ago
9

Identify a pair of similar triangles How can you tell the difference between Side-Side-Side, Side-Angle-Side, Angle-Side-Angle,

Angle-Angle-Side
Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Step-by-step explanation:

SSS

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. For example: is congruent to: (See Solving SSS Triangles to find out more) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent

SAS

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

ASA

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. For example: is congruent to: (See Solving ASA Triangles to find out more)

AAS

The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

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Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
BaLLatris [955]

Answer:

Vertex = (\frac{1}{2},\frac{7}{4})

Step-by-step explanation:

Given

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

Required

The vertex

We have:

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

First, we express the equation as:

f(x) = a(x - h)^2  +k

Where

Vertex = (h,k)

So, we have:

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

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

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

f(x) = x^2 - x + (-\frac{1}{2})^2+2  -(-\frac{1}{2})^2

f(x) = x^2 - x + \frac{1}{4}+2  -\frac{1}{4}

Expand

f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2  -\frac{1}{4}

Factorize

f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2  -\frac{1}{4}

Factor out x - 1/2

f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2  -\frac{1}{4}

f(x) = (x - \frac{1}{2})^2+2  -\frac{1}{4}

f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}

f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}

Compare to: f(x) = a(x - h)^2  +k

h = \frac{1}{2}

k = \frac{7}{4}

Hence:

Vertex = (\frac{1}{2},\frac{7}{4})

8 0
3 years ago
Read 2 more answers
PLZ HELP WILL GIVE BRAINLIEST!!!!!
Gnesinka [82]
The answer would be 198/300. That simplified would be 33/50. If you want a percent, it would be 66%.
6 0
3 years ago
Read 2 more answers
What is the distance between -15.5 and -8.7?<br><br> A: 24.2 <br> B:7.2. <br> C. 6.8<br> D. -24.2
garri49 [273]

B. 7.2

Step-by-step explanation:

-15.5+7.2=(-8.7) and vice versa.

5 0
2 years ago
Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation o
lara [203]
The probability is 0.69.

We find the z-scores that correspond with each end of the range we're looking for.  To find a z-score, we use the formula:
z=\frac{X-\mu}{\sigma}&#10;\\&#10;\\=\frac{350-500}{75}=\frac{-150}{75}=-2

z=\frac{400-500}{75}=\frac{-100}{75}=-1.33

Using a z-table (http://www.z-table.com) we see that the area under the curve left of the score 350 would be 0.228.  The area under the curve left of the score 400 would be 0.918.  To find just the range between 350 and 400, we subtract the area left of 350 from the area left of 400; this will give us just from 350 to 400:

0.918-0.228 = 0.69.
8 0
3 years ago
Heather had six 2-liter bottles of blood. She poured the blood into glasses which each have a capacity of 3 deciliters. How many
Flauer [41]
The human body has about 5.5 liters of blood
3 deciliters is about 0.3 liters
so 5.5/0.3=18.33333
so she could fill 18 and 1/3 glasses before she died
wait
oooooh, she has a supply of blood other than her own, nvm, I should read better


1 decileter is 1/10 of a liter
so 3/10 of a liter per glass

6 of those 2 liter bottles
so total is 6*2=12 liters
so
3/10 times number of glasses=12
times both sides by 10/3
number of glasses=120/3
number of glasses=40
can fill 40 glasses with the blood she is supplied (not including her own)
8 0
3 years ago
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