Answers
Related Questions
Find the value of the variable that results in congruent triangles. Complete the explanation.
F
30°
30°
9 in.
9 in.
(2x) in.
(x + 4) in.
А
B
D
E
AC is congruent to DF, because AC
DF = 9 in. 2C is congruent
to ZF. EF
must correspond to BC. The triangles (select) » congruent by the (select) Triangle
Congruence Theorem only when x = |
Answers
Answer:
[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle
Congruence Theorem only when x = 4.
Step-by-step explanation:
From the figures given, ∆ABC and ∆DEF have an included corresponding angles measuring 30° each (<C and <F), and also a given corresponding side length of 9 in each (side AC and side DF). The other given as am expression, and hence the length is unknown. For these two ∆s to be considered congruent, using the SAS Triangle Congruence Theorem, we must have two sides and an included angle of ∆ABC equal to the corresponding sides of and an included angle of ∆DEF.
We already know that 1 of the given side corresponding side lengths are equal and also the include angles are equal, to find out what value of x that will make both unknown corresponding lengths equal, in other for the SAS to be true, set 2x equal to (x + 4) to solve for x.
Thus:
2x = x + 4
Subtract x from both sides
2x - x = 4
x = 4
Substituting x = 4 into 2x and x + 4 will give us equal lengths of 8 in respectively. Therefore, if x = 4, both triangles will be congruent based on the SAS Triangle Congruence Theorem.
The answer is:
[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle
Congruence Theorem only when x = 4.
hola , alguien me podria decir cuanto es x+y=47 , tomando en cuenta que 40 alumnos y 14 profesores van de viaje , y en el hotel que se quedaran , los alumnos dormiran en cuartos dobles (2 camas) y los profesores en sencillas (1 cama) , y sumando en total son 47 habitaciones y 79 camas , y la incognita x es las habitaciones sencillas y la incognita y son las habitaciones dobles
Answers
Answer:
Step-by-step explanation:
40s=40×2=x
14t=14×1=y
40s=80
x=80
14t=14
y=14
what fraction is -1/3 minus -5/12 equivalent to as a addition expression.
Answers
Answer:
-3/4 I think do
Answer:
To add or subtract two like fractions, simply add or subtract the numerators and put the result over the common denominator, so your answer is 0.08333333333
Step-by-step explanati
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles
Answers
Answer:
Time taken to travel at 3 miles = 1.875
Time taken to travel at 5miles = 1.125
Total distance = 11.25
Step-by-step explanation:
D = speed x time
Time = distance/speed
Time at 3 miles per hour and 5 miles per hour
T1 = d/3
T2 = d/5
Total time = 3 hours
T1+t2 = 3 hours
d/3 + d/5 = 3
= d(1/2+1/5) = 3
d(5+3/15) = 3
d(8/15) = 3
We cross multiply
8d = 45
d = 45/8
= 5.625 miles
Total distance = 2d
2x5.625 = 11.25 miles
Since d is now known
T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes
T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes
Total distance 2xd = 11.25
Answer:
the answer is
A. 1.875 hours
C. 5.625 miles
D. 11.25 miles
Step-by-step explanation:
magic
When measuring volume what is the proper unit in science
Answers
Answer: liters
Step-by-step explanation:
the sum of two numbers is -18. if the first number is 10 which equation represents this situation and what is the second number?
Answers
10+ -28= -18
What is the equivalent expression to (8^-5/2^-2)^-4
Answers
Answer:
8^20 / 2^8
Step-by-step explanation:
when it is raised. you multiply it.
294 is equal to the quotient of f and 373
Write the sentence as an equation
Answers
Answer:
f/373 = 294
Step-by-step explanation:
Paralympics/Biking: List 3 ways math is used in biking
Please helppp
Answers
Answer: Calculating miles, calculating burned calories, and finding out your target heart rate.
Step-by-step explanation:
Answer:
Angles, the circumference of the wheel, and ratios for the gears
Step-by-step explanation:
Without these, a bike can't function.
Nico earns $12.50 per hour as a math tutor. Show that the relationship between the amount he earns and the number of hours he tutors is a proportional relationship. What is the constant of proportionality (k). Then write the equation for the relationship.
Answers
Answer:
12.50k
Step-by-step explanation:
I came to this answer as k is the number of hours, and 12.50 is how much per hour.
Function Homework f(x) g(x)
Answers
Answer:
5x-1
Step-by-step explanation:
Question 9 of 10
Which expression is equivalent to -16 - 9?
A. -16+(-9)
B. 16+(-9)
C. 16+9
D. -16 +9
Answers
Answer:
b
Step-by-step explanation:
When simplifying the expression in part H, how many times will the sign change on the positive term? Will the final expression be positive or negative?
Answers
Answer:
There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.
Step-by-step explanation:
Answer:
There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.
Step-by-step explanation:
can anyone help me with this question?
Answers
9514 1404 393
Answer:
E. 37
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary:
(4x -2)° +34° = 180°
4x = 148 . . . . . . . . . . . divide by °, subtract 32
x = 37 . . . . . . . . . . . . . divide by 4
Please help me!! Thanks!!!
Answers
Answer:
yessirrr
Step-by-step explanation:
1. They are all 100 degrees
2. They are once again all 150 degrees
Find the distance between the points. A(3, 0) and B((8,10)
Answers
Answer:
The distance is 5 square root of 5, or if it asks in decimal form it would be 11.180.
Step-by-step explanation:
To find the distance between any points, you must use the distance formula. When you plug in the points given, you end up with 11.180. I hope this helps!
An ice cream shop charges customers a set amount for one scoop of ice cream, plus a charge per topping. If two toppings would cost a total of $3.99, and 4 toppings $4.99, what is the rate per topping?
Answers
Answer:
$0.50 per topping
Step-by-step explanation:
x + 2t = 3.99
x + 4t = 4.99
x + 2t = 3.99
2t = 3.99 - x
t = 1.995 - 0.5x
x + 4t = 4.99
x + 4(1.995 - 0.5x) = 4.99
x + 7.98 - 2x = 4.99
7.98 - x = 4.99
-x = -2.99
x = 2.99
t = 1.995 - 0.5(2.99)
t = 1.995 - 1.495
t = 0.50
The rate per toppings is given by the equation A = $ 0.50
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of the toppings be represented as A
Now , the equation will be
The cost of 2 toppings = $ 3.99
So , 2A = 3.99 be equation (1)
The cost of 4 toppings = $ 4.99
And , 4A = 4.99 be equation (2)
Subtracting equation (1) from equation (2) , we get
4A - 2A = 4.99 - 3.99
On simplifying the equation , we get
2A = 1.00
Divide by 2 on both sides of the equation , we get
A = $ 0.50
Therefore , the value of A is $ 0.50
Hence , the cost of one toppings is $ 0.50
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
There were 3 boys for every 4 girls in the group. If there were 20 girls, how many students in all went on the field trip?
Answers
Answer:
35 students
Step-by-step explanation:
15 Boys and 20 girls
Hope this is what you needed!
Answer:
Step-by-step explanation:
3 Boys= 4 Girls
[tex]\frac{3}{4} = \frac{boys}{girls}[/tex]
[tex]\frac{3}{4} = \frac{boys}{20}[/tex]
boys= 15
Total students: 15+20=35 students
Find the solution when x=2 and y=6
x(7+ y) - 5
Answers
Answer:
21
Step-by-step explanation:
2(7+6)-5
2(13)-5
26-5
21
Example
Find an equation of the line containing the points (2, 2)
and (-6, -4),
Solution First, we find the slope:
Answers
Answer:
6/8
Step-by-step explanation:
y^1-y^2/x^1-x^2
2+4/2+6
6/8
Answer:
Step-by-step explanation:
y=.5x+-1 ?
549 divided by 61. Dont round the answer
Answers
Answer:
9
Step-by-step explanation:
Answer: The Answer is 9 i'm really sure this is the answer
Harold worked 40 hours between Monday and Friday and then more hours during the weekend. Over the whole week, he worked over 52 hours. (Use h as a variable.)
Answers
Answer:
h=12
Step-by-step explanation:
I think the question is asking how long he worked over the weekend.(sorry if that's not what they were asking)
More specifically: h is greater than or equal to 12
- (-6x + 6) + 3 = 3 + 4x
I need help
Answers
Answer:
x=3
Step-by-step explanation:
-1(-6x + 6) + 3 = 3 + 4x
6x - 6 + 3 = 3 + 4x
6x - 3 = 3 + 4x
2x - 3 = 3
2x=6
x=3
Answer:
x=3
Step-by-step explanation:
-(-6x+6)+3=3+4x
6x-6+3=3+4x
6x-3=3+4x
6x-4x=3+3
2x=6
x=6/2
x=3
final answer
thank you bro
Julla typed 374 words in five minutes in her keyboarding class. At this rate, how many words could she type in 11 minutes?
Answers
Answer:
822.8 Words.
Step-by-step explanation:
First, divide 374 by 5 to find the amount of words "Julla" can type in 1 minute. This should give you 74.8 words. Then multiply this by 11 to find the amount of words "Julla" can type in 11 minutes. By doing this, we can get 822.8 words. You may want to round this up to 823 words.
Hope this helps! Let me know.
Is √38 rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
because it does not simplify into a whole number
Need help for math! Open the picture above number 7 thank you
Answers
Answer:
1975....?
Step-by-step explanation:
3.860x10^3 - 1.885x10^3
Ink cartridges are heavy 1/4 pound. The total weight of the cartridges in a box is 2 1/2 pounds. How many cartridges does the box contain?
Answers
Answer:
10 cartridges
Step-by-step explanation:
2x4+2=10
hope this helps
Car A travels 127 miles in 4 hours. Car B travels 350 miles in 4 hours. Car C travels 583 miles in 14 hours. Which car has the fastest average speed?
Answers
Answer:
B is the answer
Find the slope of the line that passes through (8, 9) (6, 12)
Please help
Answers
Pls mark me brainliest
What is the exact value of sin(157.5)?
Answers
Answer:
Its B edg
StartFraction StartStartRoot 2 minus StartRoot 2 EndRoot EndEndRoot Over 2 EndFraction
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
edge
hope this helped! :D