Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please
Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP
[tex] \overline{NM} = 20 [/tex]
[tex] \overline{MK} = 15 [/tex]
[tex] \overline{KN} = 25 [/tex]
[tex] \overline{TR} = 3x - 1 [/tex]
a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to [tex] \overline{TR} [/tex] is [tex] \overline{NM} [/tex]. Thus:
[tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex]
c. Since [tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex], therefore:
[tex] \overline{TR} = \overline{NM} [/tex]
[tex] 3x - 1 = 20 [/tex] (substitution)
Add 1 to both sides
[tex] 3x = 20 + 1 [/tex]
[tex] 3x = 21 [/tex]
Divide both sides by 3
[tex] x = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
2. a. Slope of LK = [tex] \frac{rise}{run} = \frac{4}{3} [/tex]
Slope of LM = [tex] \frac{rise}{run} = -\frac{3}{5} [/tex]
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):
[tex] Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} [/tex]
[tex] Lk = \sqrt{(3)^2 + (4)^2} [/tex]
[tex] Lk = \sqrt{9 + 16} [/tex]
[tex] Lk = \sqrt{25} [/tex]
[tex] Lk = 5 [/tex]
✍️Length of LM is the distance between L(-7, 4) and (-2, 1):
[tex] LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} [/tex]
[tex] LM = \sqrt{(5)^2 + (-3)^2} [/tex]
[tex] LM = \sqrt{25 + 9} [/tex]
[tex] LM = \sqrt{34} [/tex]
[tex] LM = 5.8 [/tex] (nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
The function p is defined as p(x) = x2 – 3x. If the
function q is defined as q(x) = p(x) – 4, what is the
value of q(10) ?
A) -30
B) 6
C)
66
D) 70
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]q(x) = {x}^{2} - 3x - 4[/tex]
[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]
[tex]q(10) = 100 - 30 - 4[/tex]
[tex]q(10) = 70 - 4[/tex]
[tex]q(10) = 66[/tex]
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Thus the correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
does this graph show a function? explain how you know
Answer:
B
Step-by-step explanation:
if you drew a line on top of any part of the parabola, you will only touch the line once.
(when drawing a line, they are always vertical, not horizontal)
38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)
Answer:
B
Step-by-step explanation:
3 ( w + 9 )
3 × w + 3 × 9
3w + 27
Hope this helps
plz mark as brainliest!!!!!!!
The speed of sound in hydrogen is about 3.9 times its speed in air. If its speed in
hydrogen is almost 1287 m/s, what is its speed in air?
Answer:
330
Step-by-step explanation:
Answer:
330 m/s
Step-by-step explanation:
Divide 1287 m/s by 3.9 to get the speed of sound in air as given that the speed of sound in hydrogen is 3.9 times it's speed in hydrogen.
Hope this makes sense.
Good luck!!
Write an equation of the line that passes through (3, 4) and is perpendicular to the line
that passes through y = -1x +7.
How many eight notes is equal to a halfnote
Answer: Four eighth notes
Sixteenth Notes
Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.
Answer:
Four eighth notes
Four eighth notes equal one half note in duration and eight eighth notes equal one whole note. Two sixteenth notes equal one eighth note in duration and four sixteenth notes equal one quarter note in duration, etc.
4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
this is a test for middle schoolers but anyone is free to answer
Answer:
$42
Step-by-step explanation:
Equation: y = 6x
x = number of ice cream cones
y = 6(7) = 42
Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨
PLEASE HELP ME!!! Point Q is located at (-4, 6) Point R is located at (8, 6)
what is the distance from point Q to point R?
Hello! Did anyone took the isat ( International student admission test) ?? Please let me know !
Answer:
No, I haven't taken the isat.
Step-by-step explanation:
Answer:
No, what is it for?
Step-by-step explanation:
0,1,-1,undefined ......
completely factor 1-100x^2
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b2 = ( a + b ) (a − b ) where a= 1 and b = 10 x . ( 1 + 10 x ( 1 − 10 x )
Step-by-step explanation:
what is the slope- intercept form of x+4y=16
Answer:
Y= -1/4x +4
Step-by-step explanation:
Slope intercept form is y=Mx+b
4y=16-x
Y= -1/4x +4
It takes 1 minute for a certain amount of potassium bromide (KBr) to dissolve in 100 grams of water at 25 °C.
Which of the following will most likely happen if the same sample of potassium bromide is dissolved in 100 grams of water at 100 °C?
The sample will dissolve in exactly 1 minute.
The sample will dissolve in less than 1 minute.
The collision between particles of the sample will decrease.
The collision between particles of the sample will remain constant.
Answer:
The sample will dissolve in less than one minute
Step-by-step explanation:
If I pay $600 in interest for my simple interest loan for $10,000 at an
interest rate of 3%, how long did I have the loan for?
Answer:
2 periods
Step-by-step explanation:
Simple interest is compounded one time, usually annually, although it could be less time or longer. Thus I answer 2 periods. If your choices include 2 years, that is most likely the answer.
To find the answer,
$10,000 x .03 = $300.
$600 / $300 = 2 periods.
Hope this helps.
Good luck
What is the value of z?
Write the reciprocal of -2/7
Answer:
answer is -7/2
Step-by-step explanation:
What is the median?
-2 -3 8 -6 -9
Answer:
-3
Step-by-step explanation:
its the middle number so you put them in order and get the ndeswer just whatevers in the midde
-9 -6 -3 -2 8
Answer:
The median is -3
Step-by-step explanation:
-9 -6 -3 -2 8 (least to greatest)
CONVERT 1.3333........ into p/q form
Answer:
4/3In short form, it is x is equal tox= 12/9Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment A double prime B double prime = segment AB over 2 segment AB = segment A double prime B double prime over 2 segment AB over segment A double prime B double prime = one half segment A double prime B double prime over segment AB = 2
Answer:
A. segment A double prime B double prime = segment AB over 2Step-by-step explanation:
Triangle ABC with coordinates of:
A = (-3, 3), B = (1, -3), C = (-3, -3)Translation (x + 2, y + 0), coordinates will be:
A' = (-1, 3), B = ( 3, -3), C = (-1, -3)Dilation by a scale factor of 1/2 from the origin, coordinates will be:
A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)Let's find the length of AB and A''B'' using distance formula
d = √(x2-x1)² + (y2 - y1)²AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13We see that
AB = 2A''B''Now the answer options:
A. segment A double prime B double prime = segment AB over 2
CorrectB. segment AB = segment A double prime B double prime over 2
Incorrect. Should be AB = A''B''*2C. segment AB over segment A double prime B double prime = one half
Incorrect. Should be AB/A''B'' = 2D. segment A double prime B double prime over segment AB = 2
Incorrect. Should be A''B''/AB = 1/2Answer:
A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
Item 6 Graph △JKL and its image after a reflection in the y-axis. J(5, 3), K(1,−2), L(−3, 4)
Answer:
J(-5,3) K(-1,-2) L(3,4)
Step-by-step explanation:
Reflections over the y axis make the x its opposite. 5 would change to -5, 1 would change to -1, and -3 would change to 3.
When a shape is reflected, it must be reflected across a line.
See attachment for the graph of the image of JKL
The coordinates are given as:
[tex]\mathbf{J = (5,3)}[/tex]
[tex]\mathbf{K = (1,-2)}[/tex]
[tex]\mathbf{L = (-3,4)}[/tex]
The rule of reflection across the y-axis is:
[tex]\mathbf{(x,y) \to (-x,y)}[/tex]
So, the image of the reflection is:
[tex]\mathbf{J'= (-5,3)}[/tex]
[tex]\mathbf{K'= (-1,-2)}[/tex]
[tex]\mathbf{L'= (3,4)}[/tex]
See attachment for the graph of the image of jKL
Read more about reflections at:
https://brainly.com/question/15487308
How many of the numbers between 8 and 65 are a multiple of 7?
A) 5
B) 6
C) 7
D) 8
Answer:
8 is the answer.
8 numbers between 8 and 65 are a multiple of 7
which triangle is the most similar to triangle ABC?
Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer:
a times 12=300
Step-by-step explanation:
donated each month a should be 25. $25 times 12 equals 300
Answer:
C.
a × 12 = 300
Step-by-step explanation:
If Kayla buys 50 apples for $20 what is the unit rate?
Answer:
2.50 dollars an apple.
Step-by-step explanation:
Divide 50/20
Answer:
2.5 per apple
Step-by-step explanation:
50 ÷ 20=2.5
A set of average city temperatures in October are normally distributed with a mean of
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text and a standard deviation of
2
∘
C
2
∘
C2, degrees, start text, C, end text.
What proportion of temperatures are between
1
8
∘
C
18
∘
C18, degrees, start text, C, end text and
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text?
Answer:
0.4032
Step-by-step explanation:
if you spun the spinner 100 times would you expect it to land on red
How many colors are there in total?
Preston is making cookies. He has 4 over 5 cup of flour in a bag. He then used two 1 over 10 cups of flour for his recipe. Which of the following best explains the amount of flour left in the bag?
6/10 , because 4/5-2x(1/10)=4/5-3/10
5/10 , because 4/5-2x(1/10)=4/5-3/10
6/10 , because 4/5-2x(1/10)=4/5-2/10
5/10 , because 4/5-2x(1/10)=4/5-2/10
Answer:
6/10, because 4/5-2x(1/10)=4/5-2/10
Step-by-step explanation:
What is the boiling point of salty ocean water?
Answer: approximately 105.7°C
Step-by-step explanation:
Seawater of 35 psu has a specific heat of 0.932 compared with 1.000 for pure water. Pure water freezes at 0 °C and boils at 100 °C (212 °F) under normal pressure conditions. When salt is added, the freezing point is lowered and the boiling point is raised. Therefore, we can tell that salt increases the boiling temperature, but not by very much. If you add 3 grams of salt to 100 grams (or mL) of water, instead of boiling at 100° C, it'll boil at 100.5° C.
And I'm not sure about the ocean water because the expected range is too wide and various, so maybe I guess the boiling point of salty ocean water would be about 105.7°C?
C.
tan(450)
Help please!
Answer:
The answer is 0
Step-by-step explanation: