Answers
Answer:
If in triangles ABC and DEF, angle A = angle D = right angle, AB = DE (leg), and BC = EF (hypotenuse), then triangle ABC is congruent to triangle DEF.
By the HL Theorem, two triangles would need a pair of corresponding, congruent legs and a pair of corresponding, congruent hypotenuses. Although both triangles have a corresponding pair of congruent legs, the hypotenuses are not congruent. Therefore, the right triangles cannot be deemed congruent.
Related Questions
Which expressions are equivalent to the expression shown below? Select all that apply. 6x + 3y – 2x + 4y – 2y + x + 5x A 10x + 5y B 6x – 2x + x + 5x + 3y + 4y – 2y C 14xy D 22xy E 14x + 9y F x + 2x + 3y + 4y + 5x + 6x
Answers
Answer:
[tex]10x + 5y[/tex], [tex]6x - 2x + x + 5x + 3y + 4y - 2y[/tex]
A and B
Which is equal to sin 30°?
A. cos 30°
B. cos 60°
C. sin 60°
D. sin 70
Answers
Because they both equals to 1/2
I hope this helped!
A sphere and a cone have the same volume. The sphere has a radius x and height y. The cone has a radius of 1/2x. Find the height of the cone in terms of y.
Answers
Answer:
h = 16x
Step-by-step explanation:
The volume of a sphere and a cone is same such that,
[tex]V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h[/tex]
We have, r = x, R = (1/2)x, h= ? (height of the cone)
So,
[tex]\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x[/tex]
So, the height of the cone is equal to 16x.
A person places $1380 in an investment account earning an annual rate of 8.6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years.
Answers
Answer:
V = 3261.16
Step-by-step explanation:
Given:
P = 1380
r = 8.6% or 0.086
t = 10
Work:
[tex]V=Pe^{rt}\\\\V=1380e^{0.086*10}\\\\V=1380e^{0.86}\\\\V=3261.16[/tex]
If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market
Answers
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
There are eight boys and six girls who are members of the trumpet section in the band. From the members of the trumpet section, a quintet is being formed. If the quintet must consist of three boys and two girls, how many quintets are possible?
Answers
Answer:
8 c 3 * 6 c 2 = 56 * 15 = 840 ways
Step-by-step explanation:
First, we consider how many ways there are to choose three boys from eight. There are 8 choices for the first boy, 7 for the second, and 6 for the third. However, because the boys are indistinct from one another, we have overcounted, and must divide by 3*2. Similarly, there are 6*5 ways to choose the two girls, divided by 2 for overcounting. Thus, there are (8*7*6*6*5)/(3*2*2)=840 possible quintets.
What is the angle measurement of angle LON?
Answers
It cost $5 to send 6 packages through a certain shipping company. Consider the number of packages per dollar. Find the constant of proportionality for this situation. ENTER ONLY A NUMERICAL ANSWER. NO WORDS, SYMBOLS, OR ADDITIONAL SPACES
Answers
Answer:
1.2 packages per dollar
Step-by-step explanation:
Number of packages = 6
Total cost in dollars = $5
Number of packages per dollars = Number of packages / Total cost in dollars
= 1.2 packages per dollar
Let
P = number of packages
d = cost in dollars
k = constant of proportionality
P = k * d
6 = k * 5
k = 6/5
k = 1.2
Constant of proportionality = 1.2
Slope-intercept equation from graph
Find the equation of the line.
⚠️WILL GIVE BRAINLIEST⚠️
Answers
Slope = Δy/Δx = (4-0)/(0-(-2)) = 2.
And as we conveniently just noted, when x = 0, y = 4. So, the slope-intercept form of the equation of this line is y = 2x + 4.
HELPPPPPPPPPP
What is the value of x in the triangle?
Answers
Answer:
x=130
Step-by-step explanation:
Hello There!
Remember the sum of the angles in a triangle is 180
So we can find the missing angle by subtracting the given angles (25 and 25 in this case) from 180
so x = 180 - 25 - 25
180 - 25 = 155
155 - 25 = 130
x = 130
a cylinder with a height of 6 km has a volume of 384n km3, what is the radius?
Answers
Answer:
r = 8
Step-by-step explanation:
V = π [tex]r^{2} h[/tex] so 384 = [tex]r^{2} (6)\\[/tex]
384/6 = [tex]r^{2}\\[/tex] so
64 = [tex]r^{2}\\[/tex]
8 = [tex]r\\[/tex]
Situation:
Find the age of the spear head to the nearest
year.
An archaelogist in Turkey discovers a
spear head that contains 32% of its
original amount of C-14.
Enter the correct answer.
DONE
N = Noekt
No - inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Answers
A. (0,5)
B. (0,2)
C. (-1,3)
D. (-3,-1)
Answers
Answer:
(0,5)
x,y
Step-by-step explanation:
WILL GIVE BRAINLIEST!! Priscilla received 240 votes in the election for student council president. That was 60% of the students who voted in the election. How many students voted in the election? A) 400 students B) 300 students C) 185 students D) 455 students
Answers
Answer:
A)400 students
Step-by-step explanation:
Find the coordinates of E' after a dilation with a
scale factor of 2.
Answers
Answer:
(more information is needed, the origin of the dilation and the coordinates for E)
Please help I will give you all the points I have pls pls pls!!
Answers
Therefore 88ft^2
Will mark brainliest please help
Answers
Answer:
4) x - intercept: (-7,0)
y-intercept: (0,7)
5) x- intercept: ( 9/8, 0)
y- intercept: ( 0, -9)
Step-by-step explanation:
A right triangle has one angle that measures 25º. What is the measure of the other acute
angle?
Answers
Answer:
65
Step-by-step explanation:
All the angles in a right triangle add up to 180
plug in what we know and we get
90+25+x=180
115+x=180
x=65
What kind of event is this: You draw a marble from a bag, keep it, then draw another
Independent
or
Dependent
Answers
Answer:
I believe independent
Step-by-step explanation:
I’m not quite sure what your asking r u asking like dependent and independent variable?
if I’m correc may I have brainliest plz I need 4 more to rank up thanks!
It takes 76 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre?
Answers
Answer:
6 pounds and 9 ounces
or 7 pounds when rounded
PLZ HELP NEED BY TODAY!!
Answers
Answer:
x=20 degrees.
Step-by-step explanation:
Please help asap!
The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey?
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Answers
Answer:all students in the social studies club
Answer:
I dont know the answer to this but I was putting this here to tell you how much of a good person you are. I was taking the ming china cause and effect chart and I didnt know the answer and your answer on that helped me alot and thank you very much you helped my grade to go from a b to an a thank you you are one of the kindest people I know. Thank you :)
Step-by-step explanation:
Looking up, Josh sees two hot air balloons in the sky as shown. He determines that the lower hot air balloon is 700 meters away, at an angle of 38 from the vertical. The higher hot air balloon is 1050 meters away, at an angle of 26 from the vertical. How much higher is the balloon on the right than the balloon on the left? Do not round any intermediate computations. Round your answer to the nearest tenth.
Answers
Answer:
In right angled triangle ABC
tan 26=perpendicular/base
tan26 =BC/1050
BC=1050×tan26=512.12m
again
In right angled triangle ADE
tan 38=perpendicular/base
tan38×700=DE
DE=546.9=547m
now
difference in height =547-512.12m=34.8m=35m
35 m is your answer
Josh sees two hot air balloons in the sky as shown. 35m higher is the balloon on the right than the balloon on the left.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
Josh sees two hot air balloons in the sky as shown.
He determines that the lower hot air balloon is 700 meters away, at an angle of 38 from the vertical.
The higher hot air balloon is 1050 meters away, at an angle of 26 from the vertical.
In right-angled triangle ABC
tan Ф = perpendicular/base
tan26 = BC/1050
BC = 1050 × tan26
BC = 512.12m
In right-angled triangle ADE
tan Ф = perpendicular/base
tan 38 = perpendicular/base
tan38 × 700 = DE
DE = 546.9
DE = 547m
The difference in height = 547 - 512.12m
=34.8m
= 35m
Therefore, 35m higher is the balloon on the right than the balloon on the left.
Learn more about trigonometric ratios here:
brainly.com/question/22599614
#SPJ2
CHOOSING BRAINLIEST ( INCLUDES SCREENSHOT )
This table shows a directly proportional relationship between the distance Craig runs and the number of track practices he attends.
x | y
4 | 12
5 | 15
6 | 18
What is the distance Craig runs if he attends 9 track meets ?
Answers
Answer:
27 miles
Step-by-step explanation:
Find the linear equation which is y = 3x
y = 3(9)
y = 27
Answer:
27 miles is the answer
Step-by-step explanation:
x | y
4 |12
5 | 15
6 |18
7 |21
8 | 24
9 |27
x is increasing by 1 and y by 3 so by this way 27 is the answer
85 is 68% of what number
Answers
Answer:
Goo gle Says its 80
Step-by-step explanation:
−k+2(−2k−5) simplified
Answers
Step-by-step explanation:
Square Mc hammered Square Puff
Answer:
-5(k + 2)
Step-by-step explanation:
Solve for x
eaesfdsdfeasfsef
Answers
77
11 X 7 is 77.
if u get two numbers on a shape you just multiply it
Definition of exponential?
Answers
Answer:
(of an increase) becoming more and more rapid.
"the social security budget was rising at an exponential rate"
Step-by-step explanation:
✨research ✨
Answer:
(of an increase) becoming more and more rapid.
(Mathematics)
of or expressed by a mathematical exponent.
Step-by-step explanation:
Yes or no? Plzzz explain why
Answers
Answer: no
Step-by-step explanation:
Steven must have gotten this answer from 11 x 11, which is wrong. The reason is because of the square root.
[tex]\sqrt{11} = 3.3166247903554[/tex]
(roughly 3.32)
So using the formula for a square l x w, the square's area is 11.0224 or 11.02
How is the term work different than the term power?
Answers
Work is defined as the process of energy transferred to an object through force. Whereas power is defined as the amount of energy transferred in unit time.