Answer:
b
Step-by-step explanation:
i just took the test
The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.
The correct option is (1).
What are congruent triangles?Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.
here, we have,
As per the given data:
In ΔABC :
∠A = 63°
AC = 2.2
In ΔFED :
∠F = 63°
FE = 2.2
By using the distance formula, we can find AB and FD.
From the coordinates, as we can see in the diagram
FD = 2 units
Similarly,
AB = 2 units
Now from SAS congruence rule:
AB = FD (Both are 2 units)
∠A = ∠F (given)
AC = FE (given)
Hence, ΔABC ≅ ΔFDE by SAS congruence rule.
To learn more about congruent triangles, click:
brainly.com/question/12413243
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A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?
Answer:
2450 J
Step-by-step explanation:
mass(m)=25kg
height(h)=10m
gravity(g)=9.8
now,
PE=mgh
=25×10×9.8
=2450J
ANS
what value of x makes the equation true ?
Answer:
x = -7
Step-by-step explanation:
You have to set up an algabraic equasion
2x + 3 = x - 4
-7 = x
help mesothelioma this pleaseeee
Calculate the slope of the line passing through the points (4, 7) and (9, -1).
the answer is -8/5
ur welcome lolz
Answer:
The slope is -1.6
Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
All the fractions can simplify to 2/3
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
Step-by-step explanation:
re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.
Find the value of c that completes the square
x^2-16x+c
Please help me with how to do this, and show me. Thank you.
Answer:
The value that completes the square is: c=8
Step-by-step explanation:
Find the value of c that completes the square [tex]x^2-16x+c[/tex]
The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,
2(x)(8) = 16x
so, c= 8
Solving:
[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]
So, the value that completes the square is: c=8
plsssssssssssssss help
Answer:
(D). (8, - 5)
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
(D). (8, - 5)
Please help due in 5 min
Answer: 4 UNITS LEFT!!!
Step-by-step explanation: I know it!
Please give me brainiest
Hope I helped :)
4 units left of the x-y plane
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly and at a constant rate. After 888 months, he weighed 138138138 kilograms. He started at 909090 kilograms.
Given :
Initial weight of sumo wrestler, I = 90 kg.
Final weight of sumo wrestler, F = 138 kg.
Time taken, T = 8 months.
To Find :
Weight gain per month.
Solution :
Weight gain per month = ( Final weight - Initial weight ) ÷ Total number of month
[tex]W = \dfrac{138-90 }{8}\ kg/month\\\\W = 6 \ kg/month[/tex]
Therefore, weight gain per month is 6 kg/month.
Hence, this is the required solution.
What is the sum of all integers that are multiples of 4 from 1 to 150? *Show your solution*
There's a pretty simple formula to follow: count of multiples [tex]*[/tex] average of the multiple.
To find the average, we take the smallest multiple of 4 which is in the range of 1 and 150 which is 4 of course. And the largest would be 148 since that's the only number in the range. So now average them: [tex]\frac{4 + 148}{2} = \frac{152}{2} = 76[/tex]
Now we find the count of the multiples which is in the range of 1 to 150. To do that, we use this formula:
[tex]\frac{\text{largest multiple} - \text{smallest multiple}}{n} \\[/tex]
Here, [tex]n[/tex] is 4 so this would be:
[tex]\frac{148-4}{4} = \frac{144}{4} = 36[/tex]
This would give you the exclusive count of all the numbers, but we want the inclusive count so, we simple add 1 so the count would be [tex]37[/tex]
Now following the 1st formula we get: [tex]37 * 76 = 2812[/tex]
So the answer would be 2812! :D
And here's the check too:
Can someone check this for me! I am not sure if I did this right
9514 1404 393
Answer:
8 seconds
Step-by-step explanation:
Your answer is the time interval at which the projectile is at or above ground level.
The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.
__
Comment
We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.
this 5th question ...please answer
Answer:
Im 47 and i have no idea
Step-by-step explanation:
thanks for 5 points
i am in need of help
Answer:
(in the image)
Step-by-step explanation:
for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)
for the second one - 5/3=15/9 because the sides of both triangles correspond
My Answer to that:
5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)
Definition of slope (Statement) - triangle A is similar to triangle B (Reason)
- sorry if wrong but that is the answer I would put
I NEED HELP can someone find the slope from these equations
Answer:
[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]
Round 2,767,545 to the nearest ten
Answer:
2767550
Step-by-step explanation:
There's no difference whatsoever. And so if we round to 2767545 to the nearest ten, it becomes 2767550.
Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?
In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
what fraction of the votes did Lincoln receive?
5x + (x , 3) = 38.4 =?
Pls need help. Due in a few minutes
Answer:
9x
5x-2+4x+2
9x
Step-by-step explanation:
WILL MARK BRAINLIESTS
and go on my last question please!
Answer:
125*125
Step-by-step explanation:
how is an equation of the line that passes through the point (2,3) and has a slope of -6 written?
Answer:
y - 3 = -6 (x-2) or y = -6x + 15
Step-by-step explanation:
y-k = m (x-h)
substitute (2,3) for (h,k):
y-3 = m (x-2)
substitute -6 for m:
y - 3 = -6 (x-2)
Solve for X.Just type the number only, the answer is a positive whole number
Answer:
7
Step-by-step explanation:
If line l is parallel to line m, therefore:
[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)
Subtract 22 from each side
[tex] 16x + 22 - 22 = 134 - 22 [/tex]
[tex] 16x = 112 [/tex]
Divide both sides by 16
[tex] \frac{16x}{16} = \frac{112}{16} [/tex]
[tex] x = 7 [/tex]
You have quarters. You find % more quarters in your room. Then you go shopping and spend % of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you have left.
Complete question :
You have 20 quarters. You find 40% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters.
A. Write an expression that represents the total number of quarters you take with you when you go shopping.
B. How much money do you have left?
Answer:
[20 + (0.4*20)] = 28 quarters
$3.5
Step-by-step explanation:
Given that:
Initial number of quarters = 20
Quarters in room = 40%
Hence, Numbe of quarters in room = 0.4 * 20 = 8
Total number of quarters taken for shopping :
(Initial amount + Numbe of quarters in room)
(20 + 8) = 28 quarters
50% of quarters was spent on shopping :
0.5 * 28 = 14 quarters
Total left :
28 - 14 = 14
Quarters left in dollars :
1 quarter = 25 cent = 0.25 dollars
14 * $0.25 = $3.5
BRAINLIEST
PLS HELP ASAP IM FAILING
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4.6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of B'? (Answer as an ordered pair without spaces)
pair without spaces)
Answer:
B' (0,-4)
Step-by-step explanation:
When a point undergoes a reflection across the x-axis, it follows this transformation:
(x, y) --> (x, -y)
(0, 4) --> (0, -4)
Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
PLZ HELP!!!!!!!!!!!!!!!!! LOTS OF POINTS!!!!
There are 6 racers who went on a 25 meter race!!
X=time in seconds
Y=distance in meters
1) The winner race D (line purple) won the race in 9.6 seconds! Equation for line y=2.5x+1
How fast was this person traveling? Write in unit rates
2) what would the graph look like if one of the riders fell off their tricycle
Answer:
0u09u0u
Step-by-step explanation:
8
Help it’s an easy question I’m just dumb please help me!
Find the x-intercept of the rational function.
A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)
Please explain how you got your answer. Thanks
Answer:
c
Step-by-step explanation:
c i think
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
14
Step-by-step explanation:
What is the slope of the line that passes through the points (5,-4) and (7,-4)? write your answer in simplest form
Answer:
0
Step-by-step explanation:
Because there are two negatives of the same number, we can instantly know that this would be 0.
Answer: 0
on this one it can’t be undefined so put 0 and you will get it correct
find the coordinates of the circumcenter of the triangle below