Answer:
Angles 1 and 2 are 115 degrees. Angles 3 and 4 are 65 degrees.
Step-by-step explanation:
7x - 4 + 3x + 14 = 180 (angles 1 and 3 form a straight line so they add to 180 degrees)
10x + 10 = 180
10x = 170
x = 17
m<1 = 7(17) - 4 = 115
m<3 = 3(17) + 14 = 65
Opposite angles are equivalent so m<2 = 115 and m<4 = 65.
2
А
B
G
30°
F
D
NOTE: Angles not necessarily drawn to scale.
Answer:
x = 60°
Step-by-step explanation:
∠ CGE = ∠ FGD = 30° ( vertical angles )
∠ CGB = 90° , then
x + 30° = 90° ( subtract 30° from both sides )
x = 60°
A teacher buys a bag of chips and a candy bar for each of the 25 students in her class. Each bag of chips cost $0.40. The teacher spends as total of $65 for chips and candy bars
Answer: 2.20 per candy bar
Step-by-step explanation:
1. 0.40(25) + x(25) = 65
2. 10 + 25x = 65
3. 25x = 55
4. x = 2.20
Select all the solutions to the quadratic equation x2-4x-12=0
Answer:
x1= -2
x2= 6
Step-by-step explanation:
x^2-4x-12=0
x^2+2x-6x-12=0
x(x+2)-6(x+2)
(x+2)*(x-6)
one solution
x+2=0
x=-2
other solution
x-6=0
x=6
p(Febuary 31) Calculate the probability of the event
Answer:
You can't find the probibilty of the event because it doesn't exist
Step-by-step explanation:
What Did You Understand In The Picture
A telephone pole is 24 feet tall. A 26 foot guy wire is used to stabilize the pole. How far from the base of the telephone pole should the end of the guy wire be set?
Step-by-step explanation:
Let,
the telephone pole be AB
the wire be AC
therefore AB=24
AC=26
By using Pythagora's theorem
(AC)² =(AB)² + (BC)²
(26)² =(24)² + (BC)²
676 = 576 + (BC)²
(BC)²= 676 - 576
(BC)²=100
BC =✓100
BC. =10
Therefore, the base of the telephone pole is set 10m far
HOPE IT HELP YOUWhat is the value of x in the equation 1/5x - 2/3 y = 30, when y= 15?
4.
Ο Ο Ο Ο
200
Answer:
The value of x is 100
Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)
Answer:
k = 8.4, j = 13.1
Step-by-step explanation:
Solve for k:
[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]
Solve for j:
[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]
Answer:
k = 10 tan (40) = 8.39 (to 2 decimals)
J = 10 / cos(40) = 13.05 (to 2 decimals)
Step-by-step explanation:
It is SOH CAH TOA, or
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Using SOH CAH TOA,
tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)
cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)
In a competition, a prize is won every 2018 minutes. Work out an estimate for the number of prizes won in 1 year. You must show your working
Answer:
260
Step-by-step explanation:
Number of hours in one year = 365 x 24 x 60 = 525600
(365 days, 24 hours per day, 60 minutes per hour)
One prize is won every 2018 minutes so in 525600 minutes
525600 / 2018 = 260 prizes will be won (The answer is 260.46, which rounds to 260)
PS: Can I pls get brainliest? I need it to rank up
Please help I’ll give brainliest
Answer:
33
Step-by-step explanation:
The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33
this is the easiest question
Answer: [tex]3\dfrac{2}{6}\ h[/tex]
Step-by-step explanation:
Given
Rami practices his saxophone for [tex]\frac{5}{6}[/tex] hour on 4 day each week
So, for a week she practices around
[tex]\Rightarrow \dfrac{5}{6}\times 4\\\\\Rightarrow \dfrac{20}{6}[/tex]
Converting it into mixed fraction
[tex]\Rightarrow \dfrac{20}{6}=\dfrac{18+2}{6}\\\\\Rightarrow 3\dfrac{2}{6}\ h[/tex]
Answer:
33/100
Step-by-step explanation:
Simplify the fraction below leaving your answer as a fraction where both the numerator and denominator are positive integers. 3⁹÷3⁵÷9³×3
Answer:
1/27
Step-by-step explanation:
Which side lengths do not form a right triangle?
a. 5, 12, 13
b. 10, 24, 28
c. 15, 36, 39
d. 50, 120, 130
Answer:
B.
Step-by-step explanation:
28 is not a multiple of 13.
Need help with some math
Answer:
A
Step-by-step explanation:
Desnity: mass/volume
3/20= .15
What is 8 weeks from June 30th
Answer:
The answer is25th August
f f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?
Answer:
Step-by-step explanation:
f(1) = 160
f(n + 1) = -2 * f(n)
n = 1
f(2) = -2*f(1)
f(2) = -2*160
f(2) = - 320
f(3) = - 2*f(2)
f(3) = -2 * - 320
f(3) = 640
f(4) = -2 * f(3)
f(4) = -2 * 640
f(4) = - 1280
In the figure, m is parallel to n and mZ4 = 122°. Find the measures of the other
angles.
n
m
t
65
m26=0°
m22-1°
mZ8 = 1
m25-1°
m23=0°
m27=°
m21=°
Enter your answer in each of the answer boxes.
Review progress
Question 6
of 20
Answer:
Step-by-step explanation:
m=3x +4xm
(-6, -5) and (2, 0)
Find the distance between each pair of points.
Answer:
[tex]\sqrt{89}[/tex] or 9.43
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
11. Benjamin plotted -1.5 and 1.6 on a number
line. Which point is further from zero?
12.
Times in 50-meter Dash
Runner
Time (s)
Steve
7.41
Mike
7.38
Daniel
7.43
Mauricio
7.25
Four runners ran the 50-meter dash. The
times are shown in the table above.
Which runner had the fastest time?
Answer:
11 1.6
12 Mauricio
Step-by-step explanation:
11. Take the absolute value of each number to determine which is furthest from zero
|-1.5| and |1.6|
1.5 and 1.6
1.6 is greater than 1.6 so it is further from 0
12. The fastest time is the smallest time
The ones place all has 7's so look at the tenths place
The smallest number will have the fastest time
Mauricio has a 2 which is the smallest number
Mauricio has the fastest time
Which quotient is greater than 3? 28 divided by 10, 35 divided by 11, 38 divided by 13 or 40 divided by 14
The quotient 35 divided by 11 is the only one among the options that is greater than 3.
To determine which quotient is greater than 3, we can calculate the value of each quotient:
28 divided by 10 = 2.8
35 divided by 11 ≈ 3.182
38 divided by 13 ≈ 2.923
40 divided by 14 ≈ 2.857
Comparing these values, we can see that only the quotient 35 divided by 11, which is approximately 3.182, is greater than 3.
Therefore, the quotient 35 divided by 11 is the only one among the options that is greater than 3.
To know more about divided:
https://brainly.com/question/15381501
#SPJ6
What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3
Answer:
[tex]2034.72\:\mathrm{mm^3}[/tex]
Step-by-step explanation:
The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.
What we're given:
[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]
¿Numeros entre 0,1 y 0,5?
Answer:
0.2
0.3
0.4
Step-by-step explanation:
Give the Solution to the System of
Equations shown below
YA
6
5
4
3
2
1
-4
-3
-2
10
1
2
3
-1
2
Answer:
Step-by-step explanation:
-10 g
A ratio of peanuts to raisins is 5 to 4. A bag of the snack mix contains 200 peanuts. How many raisins are in the bag
Answer:
160 raisins
Step-by-step explanation:
First, the ratio of peanuts to raisins will be 5:4.
Next, to fine the number to multiply the 4 by, you will divide 200 by 5.
You divide the 200 by 5 because that is how many peanuts there are in the bag and the ratio is 5:4 as stated above.
So 200 divided by 5 is 40. You will take that 40 and then multiply it by 4 to get 160.
So the end result is there are 160 raisins in the bag, and the final ratio would be 200:160
Simultaneous EQUATION 3x+2y=16 2x+y=9 PLS HELP I need answer quickly
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = 16 → (1)
2x + y = 9 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 4x - 2y = - 18 → (3)
Add (1) and (3) term by term to eliminate y
- x = - 2 ( multiply both sides by - 1 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
3(2) + 2y = 16
6 + 2y = 16 ( subtract 6 from both sides )
2y = 10 ( divide both sides by 2 )_
y = 5
solution is (2, 5 )
John starts on the ground floor of a building. He runs up five flights of stairs, then runs
up 6 flights of stairs, then runs down 8 flights of stairs, then runs up four flights of stairs,
and then stops. Each story of the building is 11 feet high. How many feet above the
ground is John when he stops? PLS HELP
Answer:
77 feet above the ground.
Step-by-step explanation:
After going up 11 flights, (5 +6), he goes down 8, which brings you to 3 and then back up to 7 (3 +4). Since each story is 11 feet high, you multiply 7 and 11, to get a total of 77.
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
Answer:
D
Step-by-step explanation:
To check this answer, you could obviously graph the points, but without graphing, you can tell the line would be straight because each x value is multiplied by the same number to get the corresponding y value.
3 x 5 = 15, 4 x 5 = 20, etc. This shows linear growth. If each x value were multiplied by twice itself (3 x 6, 4 x 8, and so on), you wouldn't have a straight line because the number that x is multiplied by changes depending on the value of x.
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.
Answer:
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.
Step-by-step explanation:
Find the value of X and BD
Answer:
x = 2, BD = 13
Step-by-step explanation:
Given 2 intersecting chords , then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
4(5x - 1) = 6 × 6 = 36 ( divide both sides by 4 )
5x - 1 = 9 ( add 1 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
BD = 5x - 1 + 4 = 5(2) + 3 = 10 + 3 = 13
At a sale this week, a Michael Kors bag is on sale for $258.40. This is a 62% discount off the original price. What is the original price.