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den301095 [7]
3 years ago
5

Can someone help me understand number 4? please

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

9514 1404 393

Explanation:

You are given a side and its opposite angle as being congruent to their counterparts in the other triangle. To prove triangle congruence, you need at least 2 sides and an angle, or at least 2 angles and a side, or 3 sides. That is, available congruence postulates are ...

   SSS SAS ASA AAS

__

Here, we observe that congruence of another angle can be claimed by considering the vertical angles at M. So, our proof can be written as ...

1. ∠LOM≅∠NPM, LM≅NM . . . . given

2. ∠LMO≅∠NMP . . . . vertical angles are congruent

3. ΔLOM≅ΔNPM . . . . AAS congruence postulate

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Is -33 a whole number?​
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Answer/Step-by-step explanation:

-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.

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2 years ago
What is the slope<br> of the line? I need this for my unit test urgently please help!!!!
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Answer:

I guess the slope of line is -1

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3 years ago
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Sonbull [250]
The equation is y=(x-7)^2+7.

We are looking for a function with a vertex above the x-axis and a function that opens upward (has coefficient a > 0).

The first function opens downward and intersects the x-axis. The second function has a vertex below the x-axis. The third function satisfies our requirements. The fourth function has a vertex on the x-axis.

We can solve this algebraically with the knowledge that the real solutions of a quadratic are its x-intercepts. If there are no x-intercepts (because it lies entirely above or below the x-axis), then there are no real solutions. This is true when the discriminant b^2-4ac \ \textless \  0. You can see that from the quadratic formula. This holds true for both answers A and C, so to find the correct one, we remember that when the coefficient a of the x^2 term is positive, the graph opens upwards, so we choose C.
5 0
3 years ago
Read 2 more answers
Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on
Zanzabum

Answer:

A score of 2.6 on a test with \bar X = 5.0 and s = 1.6 and A score of 48 on a test with \bar X = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with \bar X = 5.0 and s = 1.6

II. A score of 650 on a test with \bar X = 800 and s = 200

III. A score of 48 on a test with \bar X = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

<u>The z-score probability distribution is given by;</u>

              Z = \frac{X-\bar X}{s} ~ N(0,1)

where, \bar X = mean score

            s = standard deviation

            X = each score on a test

  • <u>The z-score of First condition is calculated as;</u>

Since we are given that a score of 2.6 on a test with \bar X = 5.0 and s = 1.6,

So,  z-score = \frac{2.6-5}{1.6} = -1.5  {where \bar X = 5.0 and s = 1.6 }

  • <u>The z-score of Second condition is calculated as;</u>

Since we are given that a score of 650 on a test with \bar X = 800 and s = 200,

So,  z-score = \frac{650-800}{200} = -0.75  {where \bar X = 800 and s = 200 }

  • <u>The z-score of Third condition is calculated as;</u>

Since we are given that a score of 48 on a test with \bar X = 57 and s = 6,

So,  z-score = \frac{48-57}{6} = -1.5  {where \bar X = 57 and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that <u>A score of 2.6 on a test with </u>\bar X<u> = 5.0 and s = 1.6</u> and <u>A score of 48 on a test with </u>\bar X<u> = 57 and s = 6 </u> indicate the highest relative position.

7 0
3 years ago
A triangle has an area of 64 square feet. If the height of the triangle is 8 feet more than its base, x, what are its height and
Nitella [24]

Answer:

8 feet

Step-by-step explanation:

Given data

Area= 64 square feet

Base= x feet

Height= x+8 feet

The expression for the area

A= 1/2b*h

substitute

64= 1/2*x*(x+8)

64= 1/2*x^2+8x

64= (x^2+8x)/2

cross multiply

64*2= x^2+8x

128= x^2+8x

rearrange

x^2+8x-128= 0

using the quadratic formula

a=1

b=8

c=-128

x= -b±√b^2-4ac/2a

x= -1±√8^2-4*1*-128/2*1

simplifying

x= 8

x=-16

Hence the height of the base is

h= 8 feet

7 0
2 years ago
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