Answers
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.
Related Questions
Please help me out!
Answers
Please answer will give brainliest if correct.
Answers
Answer:
x intercept (2,0)
y intercept (0,-4)
Answer:
x intercept (2,0)
y intercept (0,-4)
Step-by-step explanation:
give me brainliest
Are the lines parallel? 2x + 3y = 6 and 2x + 3y = 10
Answers
Answer:
the fact that this dosen´t the question like
Step-by-step explanation:
A polygon has 6 sides . The interior angles measures are 118°,127°,111°,123°,126°.and x° find the values of x .
Answers
The value of 'x' is 115 degrees and this can be determined by using the sum of interior angles property of hexagon.
Given :
A polygon has 6 sides. The interior angles measures are 118°, 127°, 111°, 123°, 126°, and x°.The following steps can be used in order to determine the value of x which is an interior angle of a hexagon:
Step 1 - According to the given data, the given polygon has 6 sides means that it is a hexagon with interior angles 118°, 127°, 111°, 123°, 126°, and x°.
Step 2 - The sum of interior angles of a hexagon is 720 degrees.
Step 3 - So, the values of 'x' can be calculated by using the below expression:
118 + 127 + 111 + 123 + 126 + x = 720
Step 4 - Simplify the above expression.
605 + x = 720
x = 720 - 605
x = 115 degrees
For more information, refer to the link given below:
https://brainly.com/question/4083236
Find the sum of the complex numbers.
(3 + 5i) + (10 + 71)
O A. 13 + 121
O B. 7 + 121
O
C. 13 + 2i
O D. 7 + 21
Answers
Answer:
A
Step-by-step explanation:
(3 + 5i) + (10 + 7i) =
3 + 5i +10 + 7i =
3 + 10 + 5i + 7i =
13 + 12i
The total charge on 4 particles is −36 units. All the particles have the same charge.
need asap What is the charge on each particle?
−9 units
−8 units
8 units
9 units
Answers
Answer:
-9
Step-by-step explanation:
If you multiply 9x4 you get 36. its minus 36 so therefor it has to be -9
Hope this helps :) <3
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
92 degrees
Step-by-step explanation:
<HEF and <AED are vertical angles.
ill mark brainlest if right
Answers
Answer:
I am super sure its A and C
Hope this helps :D
-0.59x+0.39x=5.8 I need help
Answers
Answer: x = -29
Step-by-step explanation:
-0.59x+0.39x=5.8
Collect like terms
-0.2x = 5.8
Divide both sides of the equation by -0.2
x = -29
Response to user in comments:
-0.59+0.39=-0.2 that is a fact
-0.2/-0.2=1 that is a fact
5.8/-0.2= - 29 that is a fact
These are the facts about the steps of the equation. Solving Steps for Solving the Equation
Simplify (1/2)4. Plz answer fast
Answers
Answer: 2
Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.
An art teacher needs to cut out squares of paper for an art project from a left-over sheet of paper measuring 72 x 104 inches. What size would the biggest possible square be with sides of whole number length?
Answers
Answer:
7488 inches
Step-by-step explanation:
I think that this is the correct answer. The reason is that you have to multiply 72 x 104. I´m not 100% sure.
The required maximum area of the biggest possible square is with sides of a whole number length of 7396 inches².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Area of the leftover sheet = 72 × 104 = 7488 inches²
area of the square = 7488
a² = 7488
a = 86.53
Somehow, for the biggest possible square to be with sides of whole number length,
The area is given as,
= 86²
= 7396 inches²
Thus, the required maximum area of the biggest possible square be with sides of whole number length 7396 inches².
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https://brainly.com/question/2835293
#SPJ2
Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.
a. The slopes of the two equations in the system are the same but their y-intercepts are different.
b. The system is an independent system.
c. The graphs of the two equations would intersect at the point (0,3).
Answers
Answer:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.Step-by-step explanation:
The system resulting in equation 0=3 means:
There is no solutionThe lines are parallel as no intersectionCorrect choice is:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III
Answers
Answer:
Step-by-step explanation:
The value of cos(x/2) is required.
The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
TrigonometryThe given value is
[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.
From trigonometric identities we have
[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]
If x lies in quadrant III then x/2 lies in quadrant II.
Cos is negative in quadrant III so,
[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]
[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Since, x/2 lies in the second quadrant and cos (x/2) is negative.
The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Learn more about trigonometry:
https://brainly.com/question/24349828
Simplify 7 +(-3). (1 point)
Answers
Answer:
4
Step-by-step explanation:
7-3=4
Answer:
7-3=4
Step-by-step explanation:
Im not quite sure if this is what you were asking for but here
Finding angles in measures using triangles
Answers
you can use this for help:
the interior angles of a triangle add up to 180°
So, Angle I + angle H + angle x =180°
60°+56°+x°=180°
116°+x°=180°
X=180-116
X=64°
find the slope of the line if it exists
a. the slope is ___
b. the slope is undefined
Answers
Answer:
The slope is -4/3.
Step-by-step explanation:
Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.
Answer:
the slope should be -4/3
Step-by-step explanation:
you go down 4 and to the right 3 so I am pretty sure it is -4/3
An advertisement reads “All Books 28 Percent Off.” A best-selling novel is originally priced at $18.99. About how much money will Gio save if he buys the novel on sale?
$2
$6
$10
$14
Answers
Answer:
6 dollars i think
Step-by-step explanation:
Answer:
Gio will save about $6.
Step-by-step explanation:
You would convert 28% to a decimal which is 0.28 and then multiply 0.28 by $18.99 and you would get $5.3172 which is closest to $6 so it would be B. about $6
900 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answers
Answer:
180 students brought their lunch to school on Thursday
Step-by-step explanation:
We are told that out of 900, 5% of the students brought their lunch to school everyday
So the number that brought their lunch on Thursday will be;
5% of 900
= 5/100 * 900 = 180
*15 points* any help would be appreciated plz
Answers
Answer:
70 degrees because all of the angles in a triangle add up to 180 degrees150 degrees because the adjacent angle is 30 degrees110 degrees because the adjacent angle is 70 degrees50 degrees because angle 5 would also have to be 50 in order for all of the angles on that line to be 180 degreesStep-by-step explanation:
I hope this helps!!!!
Mass = 65 kg
Acceleration = 0.3 m/s2
Force =
Answers
Answer: 19.5 N
Step-by-step explanation:
Answer:
The answer is 19.2N
Step-by-step explanation:
F=m a
F=64*0.3=19.2N
URGENT HELP! VIEW PICTURE
Answers
Answer:
it 2
Step-by-step explanation:
I think it’s 3(n/5)
Explanation:
What are the stages of asthma? Which is worse?
Answers
Answer:
Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.
Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.
Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.
Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.
Step-by-step explanation:
Answer:
bop
Step-by-step explanation:
Please help this is due today :)
Answers
(Remember rise/run)
The full equation would be 1/2+1
Subtract 5x^2+8x-11 from 3x^2+8x-7
Answers
Explanation: First you’d need to rewrite the equation as (3x^2+8x-7)-(5x^2+8x-11). Then since you are subtracting, distribute the negative to the right side which will then give you -5x^2-8x+11 since you flip the signs. Then simply combined like terms. -5x^2 + 3x^2 is -2x^2. Then 8x-8x is 0 and lastly, +11-7 is 4. So in order, all together, your answer is -2x^2+4.
WILL MARK BRAINLIEST!!! Can someone help me wit dis question?
Given y = 9x - 4, what is the y-intercept?
a.) 4
b.) -4
c.) 9
Answers
Answer:
B.) -4
Step-by-step explanation:
y=mx+b
b is equal to the y-intercept.
Answer:
-4
Step-by-step explanation:
The slope intercept form is y = mx + b.
m = slope
b = y-intercept
since b = -4, the y-intercept is -4
The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
Y+ 7 = -
-- (x-10). What
is the standard form of the equation for this line?
O 2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x + 5y = -17
Save and Exit
Answers
Answer:2x-5y=-15
Step-by-step explanation:
Can someone please please help me. ?????
Answers
Answer:
#1
x intercept is -5
y intercept is -5
#2
y=8x
Step-by-step explanation:
A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?
Answers
Answer:
156
Step-by-step explanation:
221/17=13
13*12=156
Answer:
$156
Step-by-step explanation:
221/17=x/12
221*12=17x
2652=17x
156=x
WILL GIVE BRAINLIEST
WHAT IS 2+2
RIGHT AWNSER WINS/ HINT 4+18
Answers
Answer:
2+2=4
4+18=22
Step-by-step explanation:
Choose 3 values that would make this inequality true. 9 - n ≥ 4
Answers
Answer: Could be 0,1,2,3,4,5
Step-by-step explanation: 9-n has to be greater or equal to four. 9 minus 4 is five. So all of the answers must be positive numbers that are less than five.