Answer/Step-by-step explanation:
✅m<1 = 180 - 52° = 128° (consecutive interior angles)
✅m<2 and 52° are alternate interior angles. Alternate interior angles are congruent.
Therefore:
m<2 = 52°
✅m<3 and 47° are alternate interior angles. Alternate interior angles are congruent.
Therefore:
m<3 = 47°
✅m<4 = 180 - m<3 (linear pair)
m<4 = 180 - 47 (substitution)
m<4 = 133°
✅m<5 = 180 - (52 + 47) (angles on a straight line)
m<5 = 81°
Phil has 50 nickels and dimes worth $4.15. Write a system of equations that could be used to determine the number of nickels and dimes that Phil has.
Answer:
~~~~~~~~
Step-by-step explanation:
X + Y = 50. Subtract the first equation (X + Y = 50) from this one: Y = 33. Thus Phil has 33 dimes, and 17 nickels.
the pass mark for an exam is 92%
abbi scored 62 out of 68
does she pass the exam
Answer:
68/100*92= 62.56
No abbi does not pass exam.
Answer:
Yes that is correct
Step-by-step explanation:
68/1009262.56omg these 3 questions - giving brainliest!!!!!
Answer:
1=1, 2, 4, 8,
2=65.52
3=2.265
Step-by-step explanation:
what is the sum of 9.72 × 108 and 1.93 × 107
a. 9.913 × 107
b. 9.913 × 108
c. 1.165 × 108
d. 1.165 × 109
Answer:
9.913 × 108
Step-by-step explanation:
can someone help me please
13 i thin kaaks si s jd fj nojxiiubscnhubsuind
Answer: 54/4 or 13 2/4
Step-by-step explanation: So first you have to make both fractions into improper fractions. So 15(4)+3=63 over the denominator which is 4. And 2(4)+1=9 over the denominator which is 4. Then subtract the two fractions: 63/4-9/4, and since the two denominators are the same you keep it as 4. So the answer would be 54/4 or if you need it to be a mixed number, 13 2/4.
A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. This takes place at a rate of 250°F per quarter hour. Write an equation that gives the furnace temperature, T, after, q, quarter hours.
Answer:
T = 2300 + 250q
Step-by-step explanation:
Given that:
Initial temperature = 2300 F
Extraction temperature = 3600 F
Rate of temperature increase = 250 F per quarter hour, q
Temperature of furnace after q quarter hours ;
(Initial temperature + rate of temperature increase * number of quarter hours )
(2300 + 250 * q)
2300 + 250q
A segway travels 12.5 miles every 1/2 hour. What is the unit rate of miles per hour?
Answer:
The answer tot he question provided is 25.
An angle measures 10 more than four times a number. It’s supplement is two more than three times the number. What is the measure of each angle in degrees
Answer:
4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)
7x +12 =180 (combine like terms on left side, and subtract 12 from both sides)
7x = 168 (divide both sides by 7 to isolate x)
x= 24
angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)
..................96 +10
angle 1 = 106 degrees (the measure of the first angle)
angle 2 = 3(24) +2
..................72 +2
angle 2 = 74 (the measure of the second angle)
106 +74 =180 (the two add up to 180, so they're supplementary)
Step-by-step explanation:
I hope this helps :)
In City A, the temperature rises 4(degrees)F from 8 A.M. To 9 A.M. Then the temperature drops 7F from 9 A.M. To 10 A.M. In City B, the temperature drops 6F from 8 A.M. To 9 A.M. Then the temperature drops 2F from 9 A.M. To 10 A.M. Write an expression that represents the change in temperature from 8 A.M. To 10 A.M. For each city. Simplify and interpret each sum. Use pencil and paper. Which city has the greater change in temperature?
Answer:
City A:
[tex]A - 3[/tex]
City B:
[tex]B - 8[/tex]
City B has a greater change in temperature.
Step-by-step explanation:
City A:
Let the initial temperature of city A at 8 AM = [tex]A\ ^\circ F[/tex]
Temperature change from 8 AM to 9 AM: 4[tex]^\circ F[/tex] rise
Temperature at 9 AM = [tex](A+4)\ ^\circ F[/tex]
Temperature change from 9 AM to 10 AM: 7[tex]^\circ F[/tex] drop
Temperature at 9 AM = [tex](A+4 -7 )\ ^\circ F = (A-3)\ ^\circ F[/tex]
Total change in temperature = [tex](A - 3) - A = 3\ ^\circ F[/tex] drop
City B:
Let the initial temperature of city B at 8 AM = [tex]B\ ^\circ F[/tex]
Temperature change from 8 AM to 9 AM: 6[tex]^\circ F[/tex] drop
Temperature at 9 AM = [tex](B-6)\ ^\circ F[/tex]
Temperature change from 9 AM to 10 AM: 2[tex]^\circ F[/tex] drop
Temperature at 9 AM = [tex](B-6 -2 )\ ^\circ F = (B-8)\ ^\circ F[/tex]
Total change in temperature = [tex](B - 8) -B = 8\ ^\circ F[/tex] drop
Therefore, the answer is:
City B has a greater change in temperature.
Given A(-2,8) and B(4,14), what is the y-intercept of the line AB?
A:-2
B:1
C:10
D:14
Answer: C:10
Step-by-step explanation:
Equation of a line passes through (a,b) and (c,d) :
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of line passes through A(-2,8) and B(4,14) will be :
[tex]y-8=\dfrac{14-8}{4-(-2)}(x-(-2))\\\\\Rightarrow\ y-8= \dfrac{6}{6}(x+2)[/tex]
[tex]\Rightarrow\ y-8=x+2\\\\\Rightarrow\ y= x+2+8\\\\\Rightarrow\ y=x+10[/tex]
For y-intercept , put x= 0 , we get y= 10
So, the y-intercept = 10
Thus , correct option = C:10
What is 25% of 140?
O 14
O 30
0 35
O 40
Answer:
35
Step-by-step explanation:
do 140 times .25 to get 35
Answer:
25% of 140 is 35
Step-by-step explanation:
Hope this helps!
plz help im confused on how this works. If a triangle has side lengths of 7.5 and 4.8, what is the range of lengths for the third side
Answer:
it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.
Step-by-step explanation:
Find the slope of the line passing through the points (-3,7) and (2, -6).
Undefined
Answer:
think its x=3 hope it helps
What is the simplified form of 4 radical 3/2x
Answer:
The correct answer is ^4sqrt24x^3/2x or B on edge.
hope this helps!!:)
Step-by-step explanation:
Jamari has a Rubiks Cube and the volume is 64 inches The length on one side is
(Blank) inches because (blank)
-6p - 20 = -2p +4(1 - 3p)
Answer:
−
6
−
2
0
=
−
2
+
4
(
1
−
3
)
−
6
−
2
0
=
−
2
+
4
(
−
3
+
1
)
2
Distribute
−
6
−
2
0
=
−
2
+
4
(
−
3
+
1
)
−
6
−
2
0
=
−
2
−
1
2
+
4
3
Combine like terms
−
6
−
2
0
=
−
2
−
1
2
+
4
−
6
−
2
0
=
−
1
4
+
4
4
Add
2
0
20
20
to both sides of the equation
−
6
−
2
0
=
−
1
4
+
4
−
6
−
2
0
+
2
0
=
−
1
4
+
4
+
2
0
5
Simplify
Add the numbers
Add the numbers
−
6
=
−
1
4
+
2
4
6
Add
1
4
14p
14p
to both sides of the equation
−
6
=
−
1
4
+
2
4
−
6
+
1
4
=
−
1
4
+
2
4
+
1
4
7
Simplify
Combine like terms
Combine like terms
8
=
2
4
8
Divide both sides of the equation by the same term
8
=
2
4
8
8
=
2
4
8
9
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
Solution
=3
Step-by-step explanation:
please give me brainliest
I'll give brainliest to the correct answer!!!!
A.) 45.3 m
B.) 17 m
C.) 27.7 m
D.) 34 m
Answer:
C
Step-by-step explanation:
can someone one please explain this to me and what to do it say combing like trems
Answer:
A. 5x+y+3
Step-by-step explanation:
to combine like terms you get the numbers that have the same variable. you will combine 2x and 3x and to combine them you add them 2x+3x and it equals 5x. you will do the same for the numbers left... -2y and 3y = 1y or y and 3 is left so we dont do nothing and after you do that you will put it in an equation variables go first and you order them in alphabetical order so 5x will go first then y and lastly the 3
Anna wants to add compatible numbers to find the following sum. 27.95 + 19.37 + 34.05 + 21.63 Which pairs of numbers are compatible? Choose Yes or No for each pair. 27.95 and 34.05 Choose.. 27.95 and 21.63 Choose... 19.37 and 34.05 Choose... 19.37 and 21.63 Choose...
Answer:
27.95 and 34.05 are compatible because when you add up the decimals, the equal 0, which makes it easier to add. 27. 95 + 34.05 = 61.00.
Same with 19.37 and 21.63, it adds up to 40.00
The answer to all of this would be 101.00
What is the value for x?
Enter your answer in the box.
Answer:
5
Step-by-step explanation:
Remember, the sum of all the angles in a triangle equals 180 degrees.
Moreover, looking at the diagram, we can see sides BA and BC are identical. This means this triangle is an isosceles triangle. Remember, all isosceles triangles will also have two identical angles. In this case, angles A and C are identical (meaning A and C are both 73 degrees).
So, if A is 73 degrees, C is 73 degrees, and we know that all the angles must sum to 180 degrees (so A + B + C = 180), then we can construct the following equation to solve for x:
[tex]73+73+6x+4=180\\150+6x=180\\6x=180-150\\6x=30\\x=\frac{30}{6}\\x=5[/tex]
alyze the following special produ
ve USII
1.
(3x + 5)(2x - 3). Solve using the F.O.I.L.
2.
(x + 2)(x – 13). Solve using the F.O.I.L.
3. (x + 5)2. Solve using the square of Binomial.
1. (x – 3)2 Solve using the square of Binomial.
Answer:
1) Solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]
2) solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]
3) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]
4) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]
Step-by-step explanation:
1) (3x + 5)(2x - 3). Solve using the F.O.I.L.
F.O.I.L stands for First, Outer Inner Last
We have [tex](3x + 5)(2x - 3)[/tex]
First: 3x(2x)
Outer: 3x(-3)
Inner: 5(2x)
Last: 5(-3)
Solving we get:
[tex](3x + 5)(2x - 3)\\=3x(2x)+3x(-3)+5(2x)+5(-3)\\=6x^2-9x+10x-15\\=6x^2+x-15[/tex]
So, solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]
2) (x + 2)(x – 13). Solve using the F.O.I.L.
F.O.I.L stands for First, Outer Inner Last
We have [tex](x + 2)(x -13)[/tex]
First: x(x)
Outer: x(-13)
Inner: 2(x)
Last: 2(-13)
Solving we get:
[tex](x + 2)(x - 13)\\=x(x)+x(-13)+2(x)+2(-13)\\=x^2-13x+2x-26\\=x^2-11x-26[/tex]
So, solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]
3) (x + 5)^2. Solve using the square of Binomial.
The square of binomial is: [tex](a+b)^2=a^2+2ab+b^2[/tex]
Solving:
[tex](x+5)^2\\=(x)^2+2(x)(5)+(5)^2\\=x^2+10x+25[/tex]
So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]
4) (x -3)^2. Solve using the square of Binomial.
The square of binomial used is: [tex](a-b)^2=a^2-2ab+b^2[/tex]
Solving:
[tex](x-3)^2\\=(x)^2-2(x)(3)+(3)^2\\=x^2-6x+9[/tex]
So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]
PLEASE HELP WITH THIS MATH PROBLEM! :(
Answer:
angle A is 75:the four corners are 90 degrees so 75+15 is 90 and is looks like A is the same.
angle C is 55:180-125=55
Angle D is 90-15 so think its 75?
Step-by-step explanation:
im probably wrong but maybe not?
Find the x and y values? I'm not really sure how to get y but I can seem to get the x value.
Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.
SO you have 71 + 5x -26 = 180
Simplify:
5x + 45 = 180
Subtract 45 from both sides:
5x = 135
Divide both sides by 5:
x = 135 / 5
x = 27
Now you have x solve what that angle equals:
5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees
The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,
so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.
The answers are:
x = 27
y = 109
*internal screaming beginss
Answer:
The answer is 5 1/4 liters in 1 hour.
Step-by-step explanation:
If Ben drinks 3 1/2 liters of tea in only 2/3 of a hour, this is how you calculate it. First of all, Ben is not a human being, like who can drink 3 and a half liters of tea in under a hour. To calculate how much Ben drinks in a hour, first multiply both fractions by 3, you will get 10 1/2 liters in 2 hours. Then, divide both fractions by 2, in which you will get 5 1/4 liters in 1 hour. That's your answer!
Answer:
21/4
Step-by-step explanation:
Divide the two numbers
3 1/2 =7/2 as a improper fraction
7/2 divided by 2/3
7/2 times 3/2
21/4 or 5 1/4
There are 18 girls in a class.
If this is 40% of the class list, how many students are in the class?
Answer:
45 students
Step-by-step explanation:
40+40=80 40/2=20 80+20=100
18+18=36 18/2=9 36+9=45
horrible explaining but hope it helps :)
Answer:
45
Step-by-step explanation:
18 ÷ 45 = 0.4 = 40%
What is the area of the real object that the scale drawing models?
Scale factor: 13
Area =
40 square cm
Scale drawing
Object
A. 24 square cm
B. 120 square cm
C. 360 square cm
D. 40 square cm
Answer:
C. 360 cm²
Step-by-step explanation:
scale factor: 1:3
area = 3² times
40 x 9 = 360
7th grade math help me please :)
Answer: 33
Step-by-step explanation:
a + b/c = 24 + 36/4 = 24 + 9 = 33
Answer:
33
Step-by-step explanation:
33 is the answer because when you have 24 + 36/4, 36 / 4 = 9, so the equation would become 24 + 9, and that's how you get 33
Sorry for the iready lesson spam but i suck at geometry :
Answer:
x = 63; y = 27
Step-by-step explanation:
x + 117 = 180
x = 180 - 117
x = 63
x + y = 90
63 + y = 90
y = 90 - 63
y = 27
Bam! UwU
Lol Hope this helps !
That is a question about angles.
There are two informations in that image that we should to note:
The sum of the angles x and y is a right angle. A right angle is a 90° angle. That is to say [tex]x + y = 90[/tex].The sum of the angle x and the 117° angle is a straight angle. A straight angle is an angle that measure 180°. In other words, [tex]x + 117 = 180[/tex].With these two informations we can solve that question. The first step is solve the second equation, and we will find the x value. Finally, we change the x value in the first equation and we find the y value. Let's solve the equations:
Second equation:[tex]x + 117 = 180\\x = 180 - 117\\x = 63[/tex]
So, the value of x is 63°. Let's replace the x value in the first equation.
First equation:[tex]x+y = 90\\63 + y = 90\\y = 90 - 63\\y = 27[/tex]
Thus, the value of y is 27°.
Therefore, the correct option is the option says x = 63°, y = 27°.
I hope I've helped. :D
Enjoy your studies. \o/
...........................
Answer:
3
Step-by-step explanation:
what is this question?
10x – 8x + 2 + 10=
Answer:
x=-6
Step-by-step explanation:
So you can write this as 10x-8x+2+10=0
Now you have to solve this equation for x
2x+12=0
2x=-12
x=-6