Answer:
e
Step-by-step explanation:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords
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 = |
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.
hey yall i need help again im just lazy but will mark brainlyest
Answer:
1) 1
2) 1
3) 5/6
4) 3/10
5) 5/6
6) 2/7
7) 3/8
8) 5/14
Simplify
3 /6 − 1/ 7 =
3 /6 − 1 /7 =
3 /6 + −1 /7 =
1 /2 + −1 /7 =
7 /14 + −2 /14 =
7+−2 /14 =
5 /14
(Decimal: 0.357143)
9) 2/9
10) 2/21
Step-by-step explanation:
Find the value of f(–2) for the function f(x) = 4x + 10.
A. –3
B. –2
C. 2
D. 18
Answer:
Step-by-step explanation:
f(-2) = 4(-2) + 10 = -8 + 10 = 2
answer is C
Bill bought 5 apples mary bought 2 apples and spent 1.86 for strawberrie. if the spent equal amounts write and solve the equation
Step-by-step explanation:
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The cost of an apple was 0.62 cents.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
An equation is a mathematical statement that shows that two mathematical expressions are equal.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
An equation says that two things are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, Bill bought 5 apples Mary bought 2 apples and spent 1.86 for strawberries. both the spent equal amounts, we need to write and solve the equation for the price of apples,
Let the cost of 1 apple = A
Bill bought = 5A apples
Mary bought=2A + 1.86
5A = 2A + 1.86
3A = 1.86
A = 1.86/3
A = 0.62 cents
Hence, the cost of an apple was 0.62 cents.
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PLEASE HELP ME! (80 POINTS UP FOR GRABS!!)
Which table has a constant of proportionality between y and x of 4?
A.
B.
C.
Answer: A
Step-by-step explanation:
Answer: A-
Step-by-step explanation:
The output of a function is called the What variable
Answer:
Dependent
Step-by-step explanation:
The output of a function is the y value. This is also the dependent variable.
Mr. Brown cuts 3/4 inch sections of wood to make a birdhouse roof. He cut 36 sections. How many inches did he cut?
Answer:
27 Inches
Step-by-step explanation:
The circumference of a circle is 10 inches. What is its area in square inches?
Answer:
7.96 square inches.
Step-by-step explanation:
Area of a circle given a circumference is given by formula:
[tex]A = \frac{C^{2}}{4\pi}[/tex]
So substituting into equation we have: [tex]C= 10[/tex].
Therefore [tex]A = 10^{2}/4\pi = 100/4\pi=25/\pi =7.96[/tex] square inches.
The area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The circumference of a circle is 10 inches.
As we know the circumference of a circle is given by:
C = 2πr
C is the circumference of the circle.
r is the radius of the circle.
10 = 2πr
r = 5/π inches
As we know,
The area of the circle is given by:
A = πr²
Here, A represents the area of the circle.
Plug the value of the radius r in the above formula:
A = π(5/π)²
A = 25/π square inches
Take π = 3.14
A = 25/3.14
A = 7.96 sqaure inches
Thus, the area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.
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At Break Time Bakery, donuts are 0.75 each and drinks cost $1.50 each. Which equation best represents y, total cost of purchasing x number of donuts and a drink?
Answer: B
Step-by-step explanation:
Answer:
B.)y = 1.50x + .75
Step-by-step explanation:
For an upcoming field trip, there will be 36 fifth graders and 48 sixth graders. Each van will carry the same number of students, and only students from one grade. If each van will carry the greatest possible number of students, how many vans will be needed?
Answer:
7 Vans will be needed
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
Answer:
b
Step-by-step explanation:
David is making mixed candy bags for trick-or-treaters. He has 45 gummy bears and 18 jelly beans left. He wants to put the same number of both types of candy into every bag. What is the largest number of candy bags he can make?
Choose a linear function for the line represented by the point-slope equation y-5= 3(x - 2).
O f(x) = 3r+1
O f(x) = 3x - 1
O f(x) = &r + 10
O flac) = 8x - 10
Answer:
y = 3x - 1
Step-by-step explanation: All you have to do here is solve the equation for y. When you add 5 to both sides, you are left with 3(x-2) + 5. Now, you just have to open the parentheses, giving you 3x-6+5, or 3x-1.
Which graph represents y = tan-1x?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
got it right on edge
The twenty cards below are laying facedown on the table. One card is randomly picked.
Find P(pink or green).
Answer:
9/20 or 9:20 depending on how they want it written
Step-by-step explanation:
add pink and green cards [9] in relation to total cards [20]
are 2x +4 = 10 and 3x +6 = 15 equivalent. equations? how do you know.
Answer:
Yes, the two equations are equivalent.
Step-by-step explanation:
For the first equation, we will solve for x.
2x + 4 = 10
Subtract 4 from both sides...
2x + 4 = 10
-4 -4
It then becomes
2x = 6
Then we divide by 2 on both sides.
2x = 6
2 2
Then the answer is...
x = 3
Now let's also solve for x on the second equation.
3x + 6 = 15
Subtract 6 on both sides to get x alone...
3x + 6 = 15
-6 -6
Then it is..
3x = 9
Lastly, divide by 3 on both sides...
3x = 9
3 3
Then it becomes
x = 3.
Then we see that both equations have x = 3, meaning when both x's = 3, then both equations will be equivalent. I hope this helps, and I hope it is not wrong, but I don't think it is.
Given f(x) = 3x – 2 what is f (2x)?
Answer:
6x - 2
Step-by-step explanation:
f(2x) = 3(2x) - 2
f(2x) = 6x - 2
Answer:
I think it is ----> m = 3
Step-by-step explanation:
YALLLL I NEEDDDD HELPPPPPPP LOOK QT THE PICTURE PLZZZ
Answer:
Angle A = 65 degrees, Angle B = 78 degrees
Step-by-step explanation:
Since a triangle always has its vertices add up to 180 degrees to be a triangle, we can setup an equation on how to solve it. Adding all the vertices together into a formula to equal 180 degrees gives you 5x-5 = 180. Solving this equation will grant you an answer of x = 37 degrees, and taking this value and plugging it in for each requested angle is how to find the exact degree value. Angle A will just be 2(37) - 9, which ends up to be 65 degrees. Angle B is just 2(37) + 4, which becomes 78 degrees. (You can check the answer by taking all values and adding them together to equal 180. 78 + 65 + 37 = 180.) Hope that helps!
Answer: ∠A = 65° ∠B = 78°
The sum of all interior angles = 180°. So, set 180 equal to the angles you were given (in this case, 2x-9, 2x+4, and x), and solve for x.
180 = (2x-9) + (2x+4) + x (combine the like terms)
180 = 5x - 5 (isolate 5x by moving -5 to the other side)
5x = 180 + 5
5x = 185 (divide both sides by 5 to isolate for x)
x = 37°
Then, sub in the value of x (in this case, 37°) into ∠A and ∠B.
∠A = (2x-9) = 2(37)-9 = 65°
∠B = (2x+4) = 2(37)+4 = 78°
∴ ∠A = 65° and ∠B = 78°.
A family built a house in a beach resort area. In 1990, the house was 430 ft from the water. With erosion, the house was 400 ft from the water in 2000. In what year will the house be only 250 ft from the water?
a. 1990
c. 2015
b. 2004
d. 2050
We develop an equation for the given situation by first writing the general equation for lines,
y = mx + b
Substituting to this given the values given above,
(1990) 430 = b
(2000) 400 = m(10) + 430
The value of m from the equation in 2000 is -3. Thus, the equation of that relates the variables is,
y = -3x + 430
Answer:
d. 2050
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?
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:
Please help. Will give brainlist, it’s due soon.
Answer:
1) slope = -2
y-int = -2
2) slope = y2-y1/x2-x1
*using (-12,19) and (-5,5)
slope = 19-5/-12--5
slope = 14 / -7
slope = -2
y-int = -5
3) slope = rise/run
slope = 4/2
slope = 2
y-int = 3
4) a) the weight of the package in pounds and the cost of shipping
b) the cost of shipping of one pound
c) slope = rise/ run
slope = cost of shipping / the weight of the package
slope = 12/3
slope = 4
d) the price of shipping one pound
e) the y-int = 0 when shipping 0 packages 0 dollars are paid
f) the amount you pay when you ship 0 pounds
Answer:
slope = -2
y-int = -2
2) slope = y2-y1/x2-x1
*using (-12,19) and (-5,5)
slope = 19-5/-12--5
slope = 14 / -7
slope = -2
y-int = -5
3) slope = rise/run
slope = 4/2
slope = 2
y-int = 3
4) a) the weight of the package in pounds and the cost of shipping
b) the cost of shipping of one pound
c) slope = rise/ run
slope = cost of shipping / the weight of the package
slope = 12/3
slope = 4
d) the price of shipping one pound
e) the y-int = 0 when shipping 0 packages 0 dollars are paid
f) the amount you pay when you ship 0 pounds
Step-by-step explanation:
Mudrik installed a device on his car that
guaranteed to increase his gas mileage
by 15%. He currently gets 22 miles per
gallon. How much will the gas mileage
increase after installing the device?
Answer:
His mileage will increase 3.3 miles to the gallon
Step-by-step explanation:
What is the exact value of sin(157.5)?
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
Dora, the school lunch manager, says that it takes 225 oranges to make 5 gallons of orange juice how many oranges does Dora need to make one gallon?
Answer:
45
Step-by-step explanation:
Since
5 : 225 = 1 : X
Then we know
225/5 = X/1
Multiplying both sides by 1 cancels on the right
1 × (225/5) = (X/1) × 1
1 × (225/5) = X
Then solving for X
X = 1 × (225/5)
X = 45
Therefore
5 : 225 = 1 : 45
Answer:45
Step-by-step explanation:well all you do is divide 5 from 225
PLEASE BE QUICKKK!!
Answer:
The Answer would be C, i think
Step-by-step explanation:
What Is the value of X?
Lines cut by a transversal line...
(2x–5)° + 45° = 180° (sum of consecutive interior angles
=> 2x + 40 = 180
=> 2x = 180– 40
=> x = 140 /2
=> x = 70
The required value of the x is 70 in the measures of the angle.
Given that Line m and n are parallel lines and intersect by a transversal line l.
When a transversal line intersects two other lines, it creates eight angles, four of which are called exterior angles and four are called interior angles.
From the sum of consecutive interior angles we have;
(2x–5)° + 45° = 180°
2x + 40 = 180
2x = 180– 40
x = 140 /2
x = 70
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Can someone help me with these? I need some help.
Answer:
1) [tex]\sqrt{569}[/tex] 2) 8 3) 0.8 4) [tex]\sqrt[10]{61}[/tex]
Step-by-step explanation:
The equation for pythagoream theorem is
a^2 + b^2 = c^2 (the caret "^" represents exponents)
A = a side length
B = another side length
C = the hypotnuse which is the slanted side of the right triangle.
To solve these problems plug in the known values into the equation then solve.
ILL GIVE BRAINLIEST 2 THE 1ST PERSON WHO ANSWERS
Answer:
b
Step-by-step explanation:
Help me solve this problem
Answer:
k = 3
Step-by-step explanation:
8k - (6k - 4) = 10
8k - 6k + 4 = 10
2k + 4 = 10
2k = 10 - 4
2k = 6
k = 3
Answer:
k=3
Step-by-step explanation:
8k-(6k-4)=10
Multiply everything inside of the parentheses by the negative.
8k -6k -4=10
Combine like terms
2k - 4 = 10
Subtract 4 from both sides
2k = 6
Divide by 2 on both sides
k-3
ima just give all my points away.
P.S
I don't like you brainly.
Answer:
interesting
Step-by-step explanation:
Answer:
thx!
Step-by-step explanation: