Answers
Answer:
m∠60
Step-by-step explanation:
30 + 90 = 120
180-120=60
Answer:
x = 60°
Step-by-step explanation:
A triangle is equal to 180°
Make an equation and solve:
30° + 90° + x = 180°
120° + x = 180°
x = 180° - 120°
x = 60°
Related Questions
Jacob Sketched a floor plan for a new two room clubhouse . In his sketch each centimeter was equal to 1.5 feet . The largest room on his clubhouse plan measured 6.2 cm by 7.4 cm. How many square feet would the actual room be? Round you answer to the nearest hundredth.
Answers
Answer:
103.23 square feet
Step-by-step explanation:
Area of the largest room = length × width
Each centimeter was equal to 1.5 feet
7.4 cm = 1.5 × 7.4 = 11.1 feet
6.2 cm = 1.5 × 6.2 = 9.3 feet
Length = 11.1 feet
Width = 9.3 feet
Area of the largest room = length × width
= 11.1 feet × 9.3 feet
= 103.23 square feet
Can someone help me with this math homework please!
Answers
Answer:
-1
Step-by-step explanation:
we match the input to the output to find that f(3) points towards -1
2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35
Answers
TRUST ME :
The answer above is correct !!
Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?
(B * 7 ) - (36 * 4) = 184
7B + (36 * 4) = 184
184 - (36 * 4) = B/7
184/4 = B * 7
Answers
Answer:
7B + (36 * 4) = 184
Step-by-step explanation:
In a family restaurant there are 36 tables and 7 booths.
Each table can seat 4 people.
Let the number of people who can be seated in a booth be represented by B.
Total seating capacity of the restaurant is 184 people.
Expressing this as an equation:
Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184
Multiplicar:
a. (– 6) (– 7) =
b. – 12 x – 5 =
c. (+ 10) (– 6) =
d. (– 15) (+ 5) =
e. (+ 11) (+6) =
f. (– 3) (– 5) (– 6) =
g. (– 8) (+6) (-3) =
h. (- 5) (+ 3) (+9) =
Answers
Answer:
a. 42
b. -12x-5
c. -60
d. -75
e. 66
f. -90
g. 144
h. -135
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
6
9
10
12? PLEASE HELP SMB
Answers
Answer:
10 plants
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
He planted 10 this year because last year he planted 12, and 1/3 of that is 4. He planted 6 more than that this year, so 4+6=10.
The Marked price, inclusive of GST, of a notebook computer is $1679.90.it is sold at a discount of 10%.
a) find its marked price before GST
b)Find the GST before discount.
c)What is the selling price of the computer
d) find the GST after the discount
e)what is the percentage decrease in the GST
Answers
Answer:i don’t know
Step-by-step explanation:i don’t know
A car with a passenger of mass 56 kg can travel a distance of 120 km using 10 l of petrol. If the number of passengers increases to 4 people with a total mass of 224 kg, the distance travelled decreases by 10%.
What is the total distance that the car carrying 4 passengers can travel using 10 l of petrol?
Answers
Answer:
120 * 0.90 = 108 km
Step-by-step explanation:
Answer:
108km
Step-by-step explanation:
Flying against the wind, a jet travels miles in hours. Flying with the wind, the same jet travels miles in hours. What is the rate of the jet in still air and what is the rate of the wind
Answers
Answer:
Velocity in still air: 760 mi/ hr
Velocity against the wind: 210 mi/ hr
Step-by-step explanation:
Given
See attachment for complete question
Required
The rate in still air
The rate of the wind
From the question, the velocity (v) against the wind is:
[tex]v =\frac{distance}{time}[/tex]
[tex]v =\frac{3040}{4}[/tex]
[tex]v_1 =760mi/hr[/tex]
The velocity with the wind is:
[tex]v_2 = \frac{8260}{7}[/tex]
[tex]v_2 = 1180mi/hr[/tex]
Let:
[tex]x \to[/tex] velocity in still air
[tex]y \to[/tex] velocity of the wind
So, we have:
[tex]x - y = 760[/tex]
[tex]x + y = 1180[/tex]
Add both equations
[tex]x + x -y + y = 760 + 1180[/tex]
[tex]2x = 1940[/tex]
Divide by 2
[tex]x = 970[/tex]
Substitute [tex]x = 970[/tex] in [tex]x - y = 760[/tex]
[tex]970 - y= 760[/tex]
Make y the subject
[tex]y = 970 - 760[/tex]
[tex]y = 210[/tex]
Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5?
Answers
Answer:
commutative property of addition.
a sequence of additions can be done in any order and the total remains the same.
Step-by-step explanation:
so, we can actually do
27 + 3 + 15 + 5
and now it is easy to combine 27+3 to 30 and 15+5 to 20, and to make the final calculation of 30 + 20 = 50 in our minds.
Can someone please help me! Big ideas number 22 8.4
Answers
Answer:
26
Step-by-step explanation:
the whole area is the sum of the area of the rectangle in the middle and the 2 triangles on either side of the rectangle.
sBC = distance between (0,3) and (4,-1)
and that is the Pythagoras calculation with the coordinate differences
sBC² = (4-0)² + (-1 - 3)² = 16 + 16 = 32
sBC = sqrt(32) = sFE
to get the area of the rectangle we need also FB (or CE).
sFB² = (0 - -2)² + (3-1)² = 4 + 4 = 8
sFB = sqrt(8) = sCE
area of rectangle is
sBC×sFB = sqrt(32)×sqrt(8) = sqrt(32×8) = sqrt(256) = 16
the area of a right-angled triangle is
a×b/2
we have sFB and need sAF
sAF² = (-5 - -2)² + (4-1)² = 9 + 9 = 18
sAF = sqrt(18)
the area of the left triangle is
sFB×sAF/2 = sqrt(8)×sqrt(18)/2 = sqrt(8×18)/2 = sqrt(144)/2 = 12/2 = 6
for the right triangle we have sCE and need sED.
sED² = (2 - 4)² + (-3 - -5)² = 4 + 4 = 8
sED = sqrt(8)
the area of the right triangle is
sCE×sED/2 = sqrt(8)×sqrt(8)/2 = 8/2 = 4
so in total we have for the area
16 + 6 + 4 = 26
In the image m || n || p.
Given ∠10 = 2x + 70
∠7 = 5x – 20
Find m∠3.
Answers
Given:
In the given figure [tex]m\parallel n\parallel p[/tex].
[tex]m\angle 10=2x+70[/tex]
[tex]m\angle 7=5x-20[/tex]
To find:
The [tex]m\angle 3[/tex].
Solution:
If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.
[tex]m\angle 7=m\angle 10[/tex] (Alternate exterior angle)
[tex]2x+70=5x-20[/tex]
[tex]70+20=5x-2x[/tex]
[tex]90=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{90}{3}=\dfrac{3x}{3}[/tex]
[tex]30=x[/tex]
Now,
[tex]m\angle 3=m\angle 7[/tex] (Corresponding angles)
[tex]m\angle 3=5x-20[/tex]
[tex]m\angle 3=5(30)-20[/tex]
[tex]m\angle 3=150-20[/tex]
[tex]m\angle 3=130[/tex]
Therefore, the measure of angle 3 is 130 degrees.
How is mathematical thinking established? How can we have mathematical thinking?
修改翻译结果
Answers
Translate How is mathematical thinking established? How can we have mathematical thinking? in to Chinese.
数学思维是如何建立的？ 怎样才能有数学思维？
m-2n = 8
n = m - 2
The value of m in the system of equations is:
Answers
Step 1: Substitute information
To solve this we will use the substitution method. This means that we will use the information provided to us in the second equation, and substitute it into the first equation. We are told what n equals, so let’s substitute this now.
m-2n=8
m-2(m-2)=8
Step 2: Distribute
Now that we have substituted the information, let’s distribute. This means that we will multiply the numbers on the outside of the parentheses with the numbers on the inside of the parentheses. Let’s do this now.
m-2(m-2)=8
m-2m+4=8
Step 3: Combine like terms
Now that we have distributed, we can continue solving the problem. The next step is to combine like terms. This means to combine terms with the same variable, or lack of. In this case, that is m and -2m.
m-2m+4=8
-m+4=8
Step 4: Get variable alone on the left side
We can now work to get the variable alone on the left side. We can do this by moving the number on the right side, in this case by adding 4 on both sides.
-m+4=8
-m=4
Step 5: Make m positive
In this final step, we must work to make m positive. We can do this by multiplying each term by -1. This will make m positive, and 4 negative. Let’s do this now.
-m=4
-1(-m)= -1(4)
m= -4
This is your answer! M is equal to -4. Hope this helps! Comment below for more questions.
Tamisha's shampoo bottle holds 1/2 bottle of shampoo.She used 5/6 of the bottle.How many gallons of shampoo has Tamisha used?
Answers
Answer:
5/12
Step-by-step explanation:
1/2 x 5/6 = 5/12
Find the area of the parallelogram
Answers
Answer:
The answer is 32.
Step-by-step explanation:
Just multiply the height by the base length. 4*8=32
Need help on this!! 10 points!!!
Answers
Answer:
The answer is B
I need help please!!!
Answers
Answer:
40 degrees
Step-by-step explanation:
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
Answers
HELP ASAP!!!
The circle graph shows the percentage of visitors at a
convention who ordered various flavors of juice. There were 700
visitors at the convention.
About how many visitors ordered grape juice or apple juice?
Enter your answer in the box.
Answers
Step-by-step explanation:
40+24+11+8+17= 100
100 - 700
24 - ?
24×700/100
= 168 visitors ordered apple juice
100-700
11-?
11×700/100
=77 people ordered grape juice
in a two digit number the tens digit is 6 more than the units digit. if the digits are interchanged, the sum of the new and the original number is 132. Determine the original number.
Answers
Given:
In a two digit number the tens digit is 6 more than the units digit.
If the digits are interchanged, the sum of the new and the original number is 132.
To find:
The original number.
Solution:
Let the unit digit of the original number be x. So, the tens digit is (x+6) and the value of the number is:
[tex]m=(x+6)\times 10+x\times 1[/tex]
[tex]m=10x+60+x[/tex]
[tex]m=11x+60[/tex]
If we interchange the digits, then the value of new number is:
[tex]n=x\times 10+(x+6)\times 1[/tex]
[tex]n=10x+x+6[/tex]
[tex]n=11x+6[/tex]
The sum of the new and the original number is 132.
[tex]m+n=132[/tex]
[tex]11x+60+11x+6=132[/tex]
[tex]22x+66=132[/tex]
[tex]22x=132-66[/tex]
[tex]22x=66[/tex]
Divide both sides by 22.
[tex]x=\dfrac{66}{22}[/tex]
[tex]x=3[/tex]
So, the unit digit of the original number is 3 and the tens digit is:
[tex]x+6=3+6[/tex]
[tex]x+6=9[/tex]
Therefore, the original number is 39.
What are the steps in order of operations
Answers
PEMDAS
Step-by-step explanation:
PEMDAS best identifies all of the steps in order of operation
where PEMDAS stands for parentheses exponents multiplication division addition and subtraction
Hope this helps!
P = Parentheses ( )
E = Exponents 2^2
M = Multiplication x
D = Division /
A = Addition +
S = Subtraction -
Can you help with 7-10
Answers
Answer:
7.Mean=Ex/n
= 88+96+92+84+86+92+98/7
=90
(b). Median = {84,86,88},92,{92,96,98}
=92
(C).Mode=92 ; it is the number with the highest frequency
9.Mean=Ex/n
=28+26+32+24+27+32+29/7
=28
(b).Median={24,26,27},28,{29,32,32}
=28
(c).Mode=32;it is the number with the highest frequency.
8.Mean=Ex/n
=3.5+5.7+9.8+7+12.4+10.2/6
=8.1
(b).Median={3.5,5.7},7,9.8,{10.2,12.4}
=7+9.8/2
=8.4
(c).Mode=no mode
10.Mean=Ex/n
=2+6+9+8+8+2+8+7+5+4/10
=5.9
(b).Median={2,2,4,5},6,7,{8,8,8,9}
=6+7/2
=6.5
(c).Mode= 8;it is the number with the highest frequency.
I hope this helps.
Solve 3 - x/2 > 15..
Answers
Answer:
x ≥-24
Step-by-step explanation:
3 - x/2 ≥ 15
Subtract 3 from each side
3-3 - x/2 ≥ 15-3
-x/2 ≥12
Multiply by -2
-x/2 * -2 ≥12 *-2
x ≥-24
Answer:
A. x ≤ 24
Step-by-step explanation:
[tex] \small \sf \: 3 - \frac{x}{2} ≥ 15 \\ [/tex]multiply both side by 2 . Since 2 is the positive the inequality direction remains the same.
6 - x ≥ 30subtract 6 from both sides
6 - 6 - x ≥ 30 - 6 -x ≥ 24Divide both side by - 1. Since -1 is negative, the inequality direction remains the change.
x ≤ -24Help!!
Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
StartFraction S Over 2 pi r EndFraction equals h. – r = h
StartFraction S minus r Over 2 pi r EndFraction equals h. = h
S – S minus StartFraction r Over 2 pi EndFraction equals h. = h
S – S minus StartFraction 2 pi Over r EndFraction equals h. = h
Answers
Answer:
(S-2πr^2)/ 2πr = h
Step-by-step explanation:
S = 2πrh + 2πr^2
Subtract 2 pi r^2 from each side
S-2πr^2 = 2πrh + 2πr^2 -2πr^2
S-2πr^2 = 2πrh
Divide each side by 2 pi r
(S-2πr^2)/ 2πr = 2πrh/2πr
(S-2πr^2)/ 2πr = h
It is given that,
→ S = 2πrh + 2πr²
Now subtract 2πr² from the both sides,
→ S - 2πr² = 2πrh + 2πr² - 2πr²
→ S - 2πr² = 2πrh
Then divide both sides by 2πr,
→ (S-2πr²)/2πr = 2πrh/2πr
→ (S-2πr²)/2πr = h
Hence, (S-2πr²)/2πr = h is the result.
Graph and identify image coordinates rx=2
Answers
Answer:
Step-by-step explanation:
Rule defining the reflection across the line x = -2 has been given as,
[tex]r_{x=-2}[/tex]
Line x = -2 will work as a mirror for the given triangle J, K, L.
That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,
Vertices of the image triangle J'K'L' will be,
J' → (-5, 2)
K' → (-3, 2)
L' → (-4, 1)
f(x)=2^x by a factor of five
Answers
What is the word form of 0.604
Answers
Answer:
zero point six hundred and four
Step-by-step explanation:
Complete the remainder of the
table for the given function rule:
y = 3x - 8
X | -4 -2 0 2 4
y -20 [?] [ ] [ ] [ ]
Answers
The values that complete the table are -14, -8, -2 and 4
Function ruleGiven the function y = 3x - 8, we are to complete the given table.
If x = -2
y = 3(-2) - 8
y = -14
If x = 0
y = 3(0) - 8
y = -8
If x = 2
y = 3(2) - 8
y = -2
If x = 4
y = 3(4) - 8
y = 4
Hence the values that complete the table are -14, -8, -2 and 4
Learn more on table of functions here: https://brainly.com/question/3632175
Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x
Answers
Answer:
35 degrees
Step-by-step explanation:
since both sides are equal, so are the angles involved.