Answers
Answer:
x = 67°
Step-by-step explanation:
angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.
Related Questions
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
numbers are 24 and 210
Step-by-step explanation:
the number are : 24(2x2x2x3) and 210 (3x2x5x7)
GCF of 24 and 210 is 6
LCM of 24 and 210 is 840
9514 1404 393
Answer:
a. numbers: 24, 210
b. GCF = 6
c. LCM = 840
Step-by-step explanation:
The number each circle represents is the product of the factors in that circle:
red circle: 2×2×2×3 = 24
blue circle: 2×3×5×7 = 210
The numbers represented in the diagram are 24 and 210.
__
The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:
GCF = 2×3 = 6
__
The LCM is the product of all of the factors shown in the diagram:
LCM = 2×2×2×3×5×7 = 840
_____
Additional comment
I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.
This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)
The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.
Answers
Answer:
i: 14
ii: 140
iii: 770
(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.
Step-by-step explanation:
i: 650/40=14
ii: 14x10=140
iii: 14x55=770
5. The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero.
procedure gcd(a, b)
if a b then gcd(a, b) := = gcd (b, a)
else if a = 0 then gcd (a, b) = b
else if a = 1 then gcd (a, b) :
:=1
else if a and b are even then gcd(a, b) 2gcd(a/2, b/2) := else if a is odd and b is even then gcd(a, b) := gcd(a, b/2)
else gcd(a, b) := gcd(a, b - a)
Use this algorithm to compute
(a) gcd(124, 244)
(b) gcd (4424, 2111).u
Answers
Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.
The program implementation is given below and the output of the sample run is attached.
def gcd(a, b):
#initialize a function named gcd which takes in two parameters
if a>b:
#checks if a is greater than b
return gcd (b, a)
#if true interchange the Parameters and Recall the function
elif a == 0:
return b
elif a == 1:
return 1
elif((a%2 == 0)and(b%2==0)):
#even numbers leave no remainder when divided by 2, checks if a and b are even
return 2 * gcd(a/2, b/2)
elif((a%2 !=0) and (b%2==0)):
#checks if a is odd and B is even
return gcd(a, b/2)
else :
return gcd(a, b-a)
#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied
print(gcd(124, 244))
print()
#leaves a space after the first output
print(gcd(4424, 2111))
Learn more :https://brainly.com/question/25506437
someone help me on these 2 questions asap! 50 points!!
Answers
Step-by-step explanation:
earbuds
we have a 1in : 0.2in scale of drawing to reality.
0.2 = 2/10 = 1/5
so, 1in in the drawing is actually 1/5in in reality.
how long are the 4in in the drawing ?
well, 4 times the 1in thing.
4×1/5 = 4/5 = 0.8in long
again the similar triangles
similar triangles means that each pair of corresponding lines (sides, heights, ...) in the triangles follows the same scaling factor for the length.
so, what do I need to multiply the side of the large triangle with to get the corresponding side length of the small triangle ?
27 × x = 9
x = 9/27 = 1/3
and that is the scale factor.
Find x intercept
(0, 24) (4,0)
Answers
Answer:
bt.ly/d97sjdu8 there is your answer!
Step-by-step explanation:
Answer:
x-intercept is 0
Step-by-step explanation:
(0, 24) (4,0)
(x, y)
0/4=0
Work out the length x. 14cm, 7cm , right angle triangle
Answers
The given triangle is a right angled triangle. So we can use the pythagorean theorem to solve this.
Hypotenuse = 14 cm
Altitude = 7 cm
Base = x cm
Using pythagorean theorem,
Hypotenuse² = Base² + Altitude²
14² = x² + 7²
14² - 7² = x²
196 - 49 = x²
147 = x²
√147 = x
12.124 = x (approx.)
_________
Hope it helps ⚜
The formula for the area of a trapezoid is A= 1/2h(b1+b2), Where h is the height and b1 and b2 are the two bases. Rewrite the formula to solve for b1 in terms of A, h, and b2.
Answers
Answer:
Correct choice: B
Step-by-step explanation:
Equation Solving
The area of a trapezoid with height h and bases b1 and b2 is given by:
We must solve this formula for h.
First, multiply by 2 to eliminate denominators:
Now, divide by b1+b2:
Swapping sides:
Correct choice: B
2/-2.5+4.1+1.2(3+6)/-0.1
Answers
Answer:
-104.7Step-by-step explanation:
2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =
-0.8 + 4.1 + 10.8 : (-0.1) =
-0.8 + 4.1 + (-108) =
3.3 - 108 =
-104.7
40.75 in word form.
Answers
Answer:
forty and seventy-five hundredths
Step-by-step explanation:
first number with always stay the same. after decimal each number you go up a thenths place. so in this case ten, hundreths
What is the slope of any line that is perpendicular to the line that contains the points (8,8) and (12,12)
Answers
Answer: 1
Step-by-step explanation:
12-8=4
12-8=4
4 over 4 is 1
if it perpendicular then it's the opposite reciprocal
hope that help
Four students were scheduled to get a book report in 1 hour. after the first report 2/3 hour remind. The next two reports took 1/6 hour and 1/4 hour. what fraction of the hour remained?
HELP please!!!! Due in 5 min
Answers
so i have 1,521,588 poker chips how much do i need to get 2 million (poker chips on a game called pokerstars vr)
Answers
Answer: 478,412
Step-by-step explanation:
In order to do this just take 2 million and subtract the number of chips you wanted to take away. For example, it'd be 2,000,00 - 1,521,588 which leaves you with 478,412.
If 11% of a number equals 4, find 66% of that number.
Answers
Answer:
363/20,000
.................................................................................
Answer:
24
Step-by-step explanation:
Let the number be " x ".
11 % of x = 4
( 11 / 100 ) * x = 4
x = 4 * ( 100 / 11 )
x = 400 / 11
66 % of that number
= 66 % of x.
= 66 % of 400 / 11
= ( 66 / 100 ) x ( 400 / 11 )
= ( 66 x 400 ) / ( 100 x 11 )
= 6 x 4
= 24
The circumference (C) of a swimming pool is 47 feet. Which formula can you use to find the radius (r) if you know that C = 2πr ?
Answers
Answer:
The answer is 7.48 or 7.5
Step-by-step explanation:
If the circumference is C which is equal to 47 feet, what you have to do is divide it by pi, or 3.14 for an estimate. After that, you'll get the diameter and then divide it by 2. Now you have your radius.
Please Help!! I can"t solve this ! Kendrick had 2/3 of an ice cream cake left. Each piece on the ice cream cake is 1/ 12 of the entire cake. How many pieces are left?
Answers
Answer:
8
Step-by-step explanation:
Express 0.03 as a percentage of 1
Answers
Answer:
3%
Step-by-step explanation:
[tex] \frac{0.03}{1} \times 100[/tex]
0.03=3/100 So
[tex] \frac{3}{100} \div 1 \times 100[/tex]
=3%
NEED HELP PLS
Marques was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 32%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answers
Answer:
1.32
Step-by-step explanation:
1.32
For this problem, percentage can be looked at as a fraction out of 100:
The total = 100/100 or 100% and the tip of 32% is 32/100. 32/100 + 100/100 = 132/100 which equals 1.32
(This type of reasoning can be applied to pretty much all percentages, as they are basically just fractions/decimals)
A car travelling at a constant speed covers 585 km in 9 hours. In how much time will it cover in 520 km? I want the answer in direct or inverse proportion.
Answers
Answer:
It took eight hours to travel 520km
Step-by-step explanation:
all graphs range from -10 through 10 ;)
Answers
Answer:B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
First, we want to find out what is X.3x = -6 ---> x = -2
X is -2 so we want the graph point to start at -2 and from there go down to -10.
Find the exact values of cos 2x and tan 2x if sin x =4/5 and x is a quadrant II angle.
Answers
Answer:
Step-by-step explanation: 3-4-5 triangle
If sinx = 4/5, then cosx = -3/5 and tanx = 4/-3 x is approximately 126.87°
cos2x = cos²x - sin²x = (-3/5)² - (4/5)² = 9/25 - 16/25 = - 7/25
tan2x = 2tanx / (1 - tan²x) = 2(4/-3) / (1 - (4/-3)²) = (8/-3) / (1 - 16/9) = (-8/3) / (-7/9)
tan2x = (-8/3) • (-9/7) = 72/21 = 24/7
Simplify the expression. n+3(n−1)
Answers
Answer:
4n - 3
Step-by-step explanation:
[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]
what is 5/8 divided 6
Answers
[tex]\sf \longmapsto \frac{5}{8} \div6[/tex]
[tex]\sf \longmapsto \frac{5}{8} \times \frac{1}{6} [/tex]
[tex]\sf \longmapsto \frac{5 \times 1}{8 \times 6} [/tex]
[tex]\sf \longmapsto \frac{5}{48} [/tex]
Answer In DECIMAL:
[tex]\sf \longmapsto0.1041[/tex]
0.45 is the result of finding the product of 3 and 12 minus a number. What is the number?
7/20
19/60
−1/60
−1/20
Answers
Answer:
The answer is 7/20
Step-by-step explanation:
This is for k-12!!
Currently taking the quiz just want to help others:)
Answer:
The answer is indeed 7/20 !!
Step-by-step explanation:
For the k12 5.17 Quiz: Model with Multistep Equations
Good luck on the rest of your quiz !!!
A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph faster
than she can walk. How fast can she walk?
mph
Answers
Answer:
4mph
Step-by-step explanation:
[tex] \frac{25}{ \sqrt[3]{5} } [/tex]write ^ as a power of 5
Answers
Answer:
[tex]5^{\frac{5}{3} }[/tex]
Step-by-step explanation:
Using the rules of exponent
[tex]\sqrt[3]{a}[/tex] = [tex]a^{\frac{1}{3} }[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
[tex]\frac{25}{\sqrt[3]{5} }[/tex]
= [tex]\frac{5^2}{5^{\frac{1}{3} } }[/tex]
= [tex]5^{\frac{6}{3}-\frac{1}{3} }[/tex]
= [tex]5^{\frac{5}{3} }[/tex]
What is the volume of an oblique square pyramid with base edges 25 ft and height 24ft?
A. 5,000 ft^3
B. 7,500 ft^3
C. 10,000 ft^3
D. 15,000 ft^3
Answers
Check the picture below.
2 (n - 1) + 47 = 2 (3n - 1)
Answers
[tex]\\ \sf\longmapsto 2(n-1)+47=2(3n-1)[/tex]
[tex]\\ \sf\longmapsto 2n-2+47=6n-2[/tex]
[tex]\\ \sf\longmapsto 2n+47=6n[/tex]
[tex]\\ \sf\longmapsto 4n=47[/tex]
[tex]\\ \sf\longmapsto n\approx 12[/tex]
Answer:
n = 11.75
Step-by-step explanation:
2(n - 1) + 47 = 2(3n - 1) Distribute the multiplier
2n - 2 + 47 = 6n - 2 Combine terms
47 = 4n divide
n = 11.75
Determine whether the inverse of F(x) is a function.
Answers
what is equation of the line shown in this graph
Answers
Since this is a horizontal line, the equation for this is simply
[tex]y = -3[/tex]
2) Subtract and simplify. 11 7\10 − 7 3\10 =
Answers
Answer:
4 2/5
Step-by-step explanation:
11 7/10
- 7 3/10
----------------
4 4/10
4 4/10 = 4 2/5