Answers
Answer:
Step-by-step explanation:
From the picture attached,
In ΔABC and ΔGFE,
AC ≅ EG [Given]
BC ≅ EF [Given]
AB ≅ FG [Given]
By the SSS property of congruence, ΔABC ≅ ΔGFE
The two triangles are related by SSS property of congruence, so the triangles are congruent.
Related Questions
Michael took a graduate course at Caldwell college that cost $1,875. He had to take a student loan at a rate of 5 1/2% out to pay for it. If he plans on paying the loan off in 2 years, how much will he pay in total for the class?
Answers
Answer:
interest paid = $206.25
course = $1,875.00
total = $2,081.25
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 1875(.055)(2)
I = 206.25
A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the equation h = —16t^2 + 75 where t is time (in seconds). Determine the amount of time it will take for the ball to hit the ground. Round your answer to the nearest hundredth of second. (Show Work)
Answers
Answer:
The ball will take approximately 2.165 seconds.
Step-by-step explanation:
The height of the ball is represented by the function [tex]h(t) = -16\cdot t^{2}+75[/tex], the time taken by the ball to hit the ground is a value of [tex]t[/tex] such that [tex]h(t) = 0[/tex], we proceed to solve the following equation for [tex]t[/tex]:
[tex]-16\cdot t^{2}+75 = 0[/tex] (1)
[tex]16\cdot t^{2} = 75[/tex]
[tex]t = \sqrt{\frac{75}{16} }[/tex]
[tex]t \approx 2.165\,s[/tex]
The ball will take approximately 2.165 seconds.
Using the probabilities given, find the probability that a student earns a grade of A. (enter number in decimal form rounded to the nearest hundredth)
Answers
Answer:
0.14
Step-by-step explanation:
Here, we want to find the probability that a student earns the grade of A
Mathematically, we have this as the frequency of A divided by the sum of all frequencies
From the question, the sum of all frequencies will be (5 + 10 + 15+ 3 +2) = 35
Now we place the frequency of A over this
This gives;
5/35 = 1/7 = 0.14
HELPP MEE PLSSSS RNNNN NO LINKS OR I WILL REPORT YOU!!
In the slope-intercept equation for a line, the coefficient of the
-term gives the slope
Answers
Answer:
x
Step-by-step explanation:
The formula of a line in its slope-intercept form is
y= mx + b
the slope is indicated by “m” that multiply the x
Write an equivalent ratio for 1:2
Answers
Answer:
2:4
Step-by-step explanation:
Answer:
3:6
4:8
5:10
6:12
7:14
8:16
etc...
Find the slope of the line segment shown
A . -1/2
B.-1
C.1/2
D.1
Answers
Answer:
1 is the correct answer
Step-by-step explanation:
y2-y1/x2-x1=slope
-2-3/-3-2
-5/=-5
1
trent is filling up a 15 gallon pool.If 1 gallon is about 3.79 liters,how many liters will fill up this pool?
Answers
Answer: 56.85
Step-by-step explanation:
So, what you have to do is multiply 15 x 3.79=56.85.
As a goalie , Brooke is practicing blocking goals . Out of 750 shots , she blocks 600 of them . What is the experimental probability that she will block the next shot?
Answers
Answer:
80%
Step-by-step explanation:
Divide 600 by 750 to find the probability
If you place a 38-foot ladder against the top of a 25-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answers
Answer:
12
Step-by-step explanation:
Answer:
If you are on delta math its 28.6
Step-by-step explanation:
Find the area of the compound shape: *
Answers
Triangle Area: 40 in.
Total Area: 104 in.
Hope this helps!!
7(x-2)=21 help me with this answer plz show work
Answers
Answer:
x=5
Step-by-step explanation:
7 times x
7 times 2
7x-14= 21
14+14= 21+ 14
7x=35
x=5
7 times five equals 35
85 EN PHYSIQUE Fonctionnement de l'ail
Le fonctionnement optique de l'oeil peut être modélisé
de façon simplifiée par une lentille simple convergente,
le cristallin. Les images des objets se forment sur la rétine,
modélisée sur le schéma par la droite (A'B').
La distance entre le cristallin et la rétine est fixe et dans la
suite, on prendra OA' = 20 mm.
Le point B', sommet de l'image formée, est construit
comme l'intersection:
- du rayon lumineux non dévié, qui passe par le sommet
B de l'objet et le centre optique o de la lentille (rayon en
rouge sur le schéma).
- du rayon lumineux parallèle à l'axe et issu du sommet B
de l'objet qui change de trajectoire après avoir traversé
la lentille et passe par le foyer F (rayon en vert sur le
schéma).
Lentille mince
convergente
lumière
B
Objet
Foyer F.
A
A
Axe principal
Image
B'
+
OF
On suppose dans la suite que OA> OF comme ci-dessus
pour avoir une image réelle.
OA'
1. Démontrer que
A'B'
A'B' A'F
puis que
ОА AB
AB OF
A'F OA'
1
En déduire que
puis que
OF
ОА
OA OA'
2. a. On suppose que OA = 25 m. Calculer OF.
b. Si OA> 25, que peut-on en déduire sur
1
ОА
Et sur
OF
puis sur OF?
C. Pourquoi dit-on en physique que « lorsque l'oeil
regarde un objet à l'infini, le foyer Fest situé sur la
rétine >>?
?
Chapitre 3. Puissances. Fonction cube et fonction inverse
Answers
Answer:
English
Step-by-step explanation:
y = -5
2x – 4y = 18
PLEASE HELP NO LINKS
LINKS=REPORT
Answers
Answer:
x= -1
Step-by-step explanation:
since y is -5 then we would put that in the second equation:
2x - 4(-5) = 18
then it’s:
2x + 20 = 18
Then we subtract 20 from both sides
2x = -2
Last we divide both by 2 and we get x = -1
Answer:
x= -1
Step-by-step explanation:
2x + 20 =18
2x = 18 - 20
x = -1
O D.y = -2x + 2
Q. If m=3 and b=6, what is the correct slope intercept equation?
answer choices
y=3-6
y=3X-6
y=3x+6
y=6x+3
US OP 10:31
Answers
1. You need to replace the numbers into
Y=mx+b
2 piecing it all together your answer will b:
Y=3x+6
G(b) = 5b- 9 h(b) = (b - 1)^2 Evaluate. (hog)(-6) =
Answers
Given:
The two functions are:
[tex]g(b)=5b-9[/tex]
[tex]h(b)=(b-1)^2[/tex]
To find:
The value of [tex](h\circ g)(-6)[/tex].
Solution:
We have,
[tex]g(b)=5b-9[/tex]
[tex]h(b)=(b-1)^2[/tex]
We know that,
[tex](h\circ g)(b)=h(g(b))[/tex]
[tex](h\circ g)(b)=h(5b-9)[/tex]
[tex](h\circ g)(b)=[(5b-9)-1]^2[/tex]
[tex](h\circ g)(b)=[5b-10]^2[/tex]
Putting [tex]b=-6[/tex], we get
[tex](h\circ g)(-6)=[5(-6)-10]^2[/tex]
[tex](h\circ g)(-6)=[-39-10]^2[/tex]
[tex](h\circ g)(-6)=[-49]^2[/tex]
[tex](h\circ g)(-6)=2401[/tex]
Therefore, the value of [tex](h\circ g)(-6)[/tex] is 2401.
Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)
Answers
Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.
Answers
Answer:
384 square inches
Step-by-step explanation:
The side is 10×5=50
There are 4 sides of equal surface area so we are at 200
The floor is 8×10=80 so we are at 280
The front is 8×5=40 and the back is the same so add another 40 so we are at 360
Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches
3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.
Answers
Answer:
A) The unit rate is 2 inches of snow per hour.
&
E) At the same rate 12 inches of snow will fall in 6 hours.
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
did it on usatestprep
twice a certain number x is less than 8. Find the range of values of the number
Answers
Answer:
F=2x +2
Step-by-step explanation:
The range of values for the certain number "x" is all real numbers less than 4.
Let's represent the certain number as "x."
The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:
2x < 8
Now, to find the range of values for "x," we need to solve for "x."
Divide both sides by 2:
x < 8/2
x < 4
So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.
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if bc is the diameter of the circle below, what is the area of the circle
Answers
Answer:
option a.
radius of the circle=3 units.
area of the circle= pi×r²
area of circle=pi×3²
area of circle=pi×9units²
Answer:
It's A. 9π square units.
Step-by-step explanation:
You know that bc is equaled to 6 since when you count it inside the circle, you get 6. Then you find the radius by dividing 6 by 2. So the radius is 3. You find the area by using this formula. A = π*[tex]r^{2}[/tex]. r = 3, so 3 square is 9. You don't know what is pi so you just write 9π. Therefore, the answer is A. 9π square units.
I’ll give Brainly est help
Answers
Answer:
B. 25
Step-by-step explanation:
f(x) = cos(x - 90°)
Which is the value of f(0°)?
A 1
B 0
C-1
1
2
Answers
f(x)= cos(x-90) = -cos(90-x)
(If you know how to, draw the CAST chart)
-cos(90-x)= -sin(x)
Sub. x=0, -sin(0)= 0
what is the square root of 30
Answers
Answer:
hi
Step-by-step explanation:
i think so...
[tex] \sqrt{30} = 5.47[/tex]
have a nice day
Acar traveled 50 miles in 40 minutes. Assume that the car will continue at this constant
rate of speed. Which equation would accurately give the total number of miles, M, for
any given number of hours, h?
Answers
Answer:
M = 75h
Step-by-step explanation: The way you get this answer is my dividing 50/40 = 1.25. then do 1.25x60 (1 hr because you have to continue to miles per hour) which gives 75H.
Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?
Answers
There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card
Answers
Answer:
C) Impossible
Step-by-step explanation:
Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.
Can any of you guys help
Answers
Answer:
5
Step-by-step explanation:
Pythagoras theorem is a² = b² + c² (where a is the hypotenuse or the longest side)
To find the shorter side, you rearrange it so it becomes c² = a² - b² (whether it is c or b doesn't matter)
So √13² - 12² = 5
Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías? Ayuda por favor
Answers
Answer:
Nosotros teníamos 120 dólares.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:
(i) Tu tienes la mitad de lo que tenías:
[tex]y = \frac{1}{2}\cdot x[/tex] (1)
(ii) Tendrás el triple lo que tienes:
[tex]z = 3\cdot y[/tex] (2)
(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:
[tex]x+y+z = z + 180[/tex]
[tex]x + y = 180[/tex] (3)
En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:
[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)
[tex]3\cdot y - z = 0[/tex] (2)
[tex]x + y = 180[/tex] (3)
La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].
Nosotros teníamos 120 dólares.
How do u figure out the rise and run without a graph
Answers
Plug in the x and y variables and solve.
On Monday, a local hamburger shop sold a combined total of 592 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answers
Answer:
148
Step-by-step explanation:
148 x 3 = 444
444 + 148 = 592
(っ◔◡◔)っ ♥ Hope It Helps ♥
148 hamburgers were sold on Monday.
Let x be the number of hamburgers sold.
Since the number of cheeseburgers sold was three times the number of hamburgers sold, the number of cheeseburgers sold can be represented as 3x.
The total number of hamburgers and cheeseburgers sold was 592. So, we can set up the equation:
x + 3x = 592
Combine like terms:
4x = 592
Now, solve for x by dividing both sides by 4:
x = 592 / 4
x = 148
Therefore, 148 hamburgers were sold on Monday.
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