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almond37 [142]
2 years ago
5

PLEASE HELP THIS IS DUE SOON A coordinate grid is used to make a map of the park. The location of the drinking fountain is (-4,

2), the location of the bench is (0, 2), and the location of the slide is (0, 5). (a) What is the distance from the drinking fountain to the bench? What is the distance from the bench to the slide? Explain your reasoning. (b) What type of triangle is created by the three locations? Explain.
Mathematics
2 answers:
Airida [17]2 years ago
3 0

Answer:

a. 3 units.  We know this since the y coordinates subtracted or, 5-2, equals 3

b. a right triangle.  We know this since the sides are perpindicular.

Step-by-step explanation:

vladimir2022 [97]2 years ago
3 0

Answer:

other guys right

Step-by-step explanation:

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Help with this question Asap!! I need all the help I can get!
tankabanditka [31]

Answer:

\large{YES}\ \dfrac{BC}{YZ}=\dfrac{AC}{XY}=\dfrac{AB}{XZ}=\dfrac{2}{1}\\\\\text{and}\ \angle B\cong\angle Z,\ \angle C\cong\angle Y,\ \angle A\cong\angle X

Step-by-step explanation:

BC\to ZY\\AB\to XZ\\AC\to XY\\\angle A\to\angle X\\\angle B\to\angle Z\\\angle C\to\angle Y

\text{We have:}\\\\\triangle ABC:\ AB=20,\ BC=12,\ AC=18\\\triangle XZY:\ XZ=10,\ YZ=6,\ XY=9\\\\\text{check the ratio:}\\\\\dfrac{AB}{XZ}=\dfrac{20}{10}=2\\\\\dfrac{BC}{YZ}=\dfrac{12}{6}=2\\\\\dfrac{AC}{XY}=\dfrac{18}{9}=2\\\\\text{CORRECT :)}\\\\\angle B\cong\angle Z,\ \angle C\cong\angle Y\\\\\text{We know that: The sum of the acute angles in a right triangle is}\ 90^o.\\\\m\angle B+m\angle A=90^o\ \text{and}\ m\angle Z+m\angle X=90^o

\text{We know}\ m\angle B=m\angle Z\to \ m\angle A=m\angle X.\\\text{therefore}\ \angle A\cong\angle X

5 0
3 years ago
A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep dep
Thepotemich [5.8K]

Answer: n = 600.25 ≈ 601 ( sample size)

the minimum sample size of the adults in United State who have sleep deprivation  is 601

Step-by-step explanation:

Given that;

the confidence level = 95% = 0.05

the Margin of error E = 4% = 0.04

∴  level of significance ∝ = 1 - C.L

∝ = 1 - (95/100)

= 0.05

Z∝/2 = 0.05/2 = 0.025

Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)

Now to calculate the sample size, we say

n = (Z(critical) / M.E )² P ( 1 - P)

now we substitute

n =  (1.96 / 0.04)² × 0.5 ( 1 - 0.5)

n = 2401 × 0.5 × 0.5

n = 600.25 ≈ 601

Therefore the minimum sample size of the adults in United State who have sleep deprivation  is 601

6 0
3 years ago
14.   What's the length of a segment that begins at the point (2, 3) and ends at the point (18, 15)? 
Bingel [31]

Answer:

20

Step-by-step explanation:

d = √(xb - xa)2 + (yb - ya)2 =

= √(18 - 2)2 + (15 - 3)2 =

= √162 + 122 = √256 + 144 =

= √400  

= 20


7 0
3 years ago
Solve the problem <br> -5(x-4)=-30<br><br><br><br><br> By Random Questions
notsponge [240]
-5(x-4)=-30
-5x - -20=-30
-5x+20=-30
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divide both sides by -5
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6 0
3 years ago
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Evaluate following expression 6x4+2x9/3 HELPP
natita [175]

Answer:

30

Step-by-step explanation:

6*4+2*9/3

24+2*9/3

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30

7 0
3 years ago
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