Answer:
FG = 10
Step-by-step explanation:
EF = x + 2 ; FG = 2x - 6
F is the mid-point of EG. So, EF = FG
[tex] = > x + 2 = 2x - 6[/tex]
[tex] = > 2x - x = 6 + 2[/tex]
[tex] = > x = 8[/tex]
FG = 2×8 - 6 = 10
A jeweler has a watch for sale for $75.00. If she charges her customer $7.50 for sales tax, what is the percent of sales tax?
Answer:
10 percent
Step-by-step explanation:
7.5 times 10 = 75.
plez give me brainiest
The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater
than 45 square meters, what are the possible values of w, its width, in meters?
OW> 36
Ow< 36
OW> 5
O w<5
Answer:
The width should be more than 5 m. So it can be 6,7 ...
Step-by-step explanation:
The length of a flower garden is = 9 m
The width of a flower garden is = w
The area of a flower garden > 45 sq. m
The area of a flower garden = l * b
l * b > 45
9 * b > 45
the width should be more than 5 m. So it can be 6,7 ...
Find the probability P(z < 0.37) using the standard normal distribution.
Answer:
0.6443
Step-by-step explanation:
Given the that:
P(Z < 0.37) ; using a standard normal distribution :
The probability can be obtained using several methods :
Using a standard normal distribution table ;
P(Z < 0.37) = obtain the value at the intersection where 0.3 is on the vertical axis and 0.07 on the horizontal axis of the Z distribution table
Hence,
P(Z < 0.37) = 0.6443
The additive inverse of the complex number a+bi is -a-bi. The sum of a complex number and its additive inverse is zero.
Example: (5+4i)+(-5-4i)=0
What is the additive inverse of –2 + 8i?
2 + 8i
–2 – 8i
2 – 8i
–2 + 8i
A complex number is said to be additive if the sum of a complex number and its additive inverse is zero. The additive inverse of the complex number is 2+ 8i
What are additive inverses?A complex number is said to be additive if the sum of a complex number and its additive inverse is zero.
For instance the the additive inverse of the complex number a+bi is -a-bi.
Given the comlex number -2 + 8i, the additive inverse is expressed as:
Additive inverse = -(-2 - 8i)
Additive inverse = 2 + 8i
Hence the additive inverse of the complex number is 2+ 8i
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Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)
Answer:
y=2x+1.
Step-by-step explanation:
You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.
A car travels 198 miles in 3 hours. Assuming that the distance varies directly with the time, how far will the car travel in 5 hours
Answer:
330 miles
Step-by-step explanation:
198/3 = 66; this shows how fast the car is going per hour
66 * 5 = 330; this is how far the car goes in 5 hours
On a school field trip, the bus travels 20 miles in 30 minutes. Find the speed of the bus in miles per hour. Use the equation d=rt, where d is distance, r is rate, and t is time.
Answer:
40mph
Step-by-step explanation:
Using D = rt, the current variables we have are
D = 20 miles
t = 30 minutes
Since the goal is rate, we alter the equation to r = D/t.
In addition, we have to convert minutes into hours so we can
r = (20 / 30)*2/2
r = (40/60)
60 minutes is converted into an hour so the rate r is 40 miles per hour.
r = 40/1
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Answer:
Row 2 = One (Smaller unit)
Row 3 = 1,000 (How many times as large as)
Row 4 = Kilogram (Larger unit)
Row 5 = Thousand (Larger Unit)
Row 6 = Micrometer (Larger Unit)
Row 7 = 100,000 (How many times as large as)
!!!HELP PLZ!!!
write the slope-intercept form of the equation of the line through the given slope:
through: (-4, 3) Slope=1
Answer:Y=X+7
Step-by-step explanation:
A circle has radius 50 cm. Which of these is closest to its area? Group of answer choices
Answer:
7850 cm
Step-by-step explanation:
The formula for area of a circle is: [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]50^{2}[/tex] = 2500
([tex]\pi[/tex] will be rounded to 3.14)
2500[tex]\pi[/tex] = 7850
Can someone help me with all of these please if you could please answer like this
1) Answer
2) Answer
Etc....
Answer:
17) 53°
18) 113°
19) 4
20) 7
Step-by-step explanation:
19) 21x + 6 = 90
21x = 84
x = 4
20) 11x - 2 = 75
11x = 77
x = 7
a tree of 14 m height is broken so that its top touches ground and makes an a 60 degeree.find the length of broken part of tree
Answer:
98 - 24√3 is your answer dear.
Step-by-step explanation:
Let the length of broken part of the tree = 14 - x
For finding x
sin60° = √3/2 = x /14-x
14√3 - √3x = 2x
14√3 = 2x + √3x
14√3 = (2 + √3)x
x = 14√3/(2 + √3)x
after rationalisation
x = 24√3 - 84
substract it 14 - (24√3 - 84)
YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.
FILL IN THE BLANKS: The solution to a system of equations is where two
lines
A system can be solved by graphing, substitution, or
If two lines are
there will be no solution. If the
two lines are the same, they will have solutions. *
.
O intersect...solving....intersecting...two
O intersect... elimination...parallel...infinite
O intersect...slope...parallel..infinite
O intersect...elimination...perpendicular...one
Help me with elar pls
Answer: indirect characterization
Step-by-step explanation:
Indirect characterization is a method of indicating what a character is like by revealing their personality through descriptions of their actions, speech, appearance, and interactions with other characters.
4/5 + 3/15 - 2/3= help me please
What’s the square root of 36
Answer:
6
Step-by-step explanation:
sqrt(36) = 6
Answer:
1296
Step-by-step explanation:
36 x 36 = 1296
Enter a value for x that makes the equation 7x - 2(x + 1) + 18 = 8x - 11 true.
Answer:
9
Step-by-step explanation:
The given equation is true for x=-5/3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 7x-2(x+1)+18 = 8x-11.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the equation 7x-2(x+1)+18 = 8x-11 is as follows
7x-2x-2+18 = 8x-11
⇒ 5x-16=8x-11
⇒ 8x-5x=-16+11
⇒ 3x=-5
⇒ x=-5/3
Verification:
Substitute x=-5/3 in the given equation and verify
That is, 5(-5/3)-16=8(-5/3)-11
⇒ -25/3 -16=-40/3 -11
⇒ (-25-48)/3 = (-40-33)/3
⇒ -73/3 =-73/3
LHS = RHS
Therefore, the given equation is true for x=-5/3.
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What is the slope of the segment with end points at (300, -2) and (500,6)
Answer:
The answer is A: 1/25
how do i evaluate l18l
Answer:
18
Step-by-step explanation:
It is asking for the absolute value of 18. The absolute value is the units away from 0 the number is, so the answer is 18.
Answer: the answer is 1^19 (one to the power of 19)
Step-by-step explanation:
l^18 multiplied by l^1 = l^(18 + 1) = l^19
(1 to the power of 18 multiplied by 1 to the power of 1 equals 1 to the power of (18 + 1) equals 1 to the power of 19)
4(3n-2)=what and explain by righting out. each step
Answer:
12n - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define Expression
4(3n - 2)
Step 2: Expand
Distribute 4: 4(3n) - 4(2)Multiply: 12n - 8Answer:
4(3n-2)
=> 12n-8
=> 12n=8
=> n=8/12
=> n= 2/3
In triangle ABC, the measure of angle B is 18° more than twice the measure of angle A. The measure of angle C is 42° more than that of angle A. Find the angle measures. A: 30°, 78°, 42° B: 30°, 78°, 72° C: 33°, 84°, 63° D: 26°, 70°, 84°
Answer:
B: 30°, 78°, 72
Step-by-step explanation:
Given a [tex]\triangle ABC[/tex].
Let [tex]\angle A = x^\circ[/tex]
As per question statement, [tex]\angle B[/tex] is 18° more than twice of [tex]\angle A[/tex].
i.e
[tex]\angle B =(2x+18)^\circ[/tex]
[tex]\angle C[/tex] is 42° more than that of [tex]\angle A[/tex]
[tex]\angle C = (x+42)^\circ[/tex]
To find:
The angle measures of the triangle = ?
Solution:
We can use the angle sum property of a triangle here to find the three angles of the triangle.
As per angle sum property, the sum of all the three internal angles is equal to [tex]180^\circ[/tex].
[tex]\angle A + \angle B + \angle C= 180^\circ\\\Rightarrow x+2x+18+x+42=180^\circ\\\Rightarrow 4x+60=180\\\Rightarrow 4x=120\\\Rightarrow x= 30^\circ[/tex]
i.e. [tex]\angle A = 30^\circ[/tex]
[tex]\angle B = 2\times 30 + 18 = 78^\circ[/tex]
[tex]\angle C = 30+42 = 72^\circ[/tex]
Therefore, the correct answer is:
B: 30°, 78°, 72
PLEASE HELP ASAPPP!!!!?!!!?
Answer:
5. The minute hand is greater by 5 minutes.
if ∠n and ∠p are supplementary angles, m∠N=(x+3)° and m∠P=(7x-15)° ,find m∠P.
Answer:
132 degrees
Step-by-step explanation:
x+ 3+7x-15=180
8x -12 =180
8x = 168
x=21
7(21) -15
147-15
132
Which of the following is the proper name for the figure below?
s
E
A. ADSK
B. ADKM
C. ADME
D. ADOM
Answer:
ADOM IS THE ANSWER OF THIS QUESTIONS
help me plz and thanks
Answer:
A, the solutions are x=3,2
Step-by-step explanation:
1.sum of three consecutive even numbers is 12 the number are
0,5,7
1,3,8
2,4,6
Answer:
The third number is two more than the second number, so it is x+2+2, or simply x+4. Solve for x by combining like terms. The first number is 2, the second is 4, and the third is 6. When we add them together, we have 2+4+6=12.
Answer:
2,4,6
Step-by-step explanation:
first consecutive even number is X , then X+ 2 and X+4
sum = X + X+ 2 + X +4 = 12 then solve
How many 3/4 pound packages can you make with 6.5 pounds of sunflower seeds?
Answer:
9 bags
Step-by-step explanation:
Weight each bag should be = 3/4 pound (0.75 pound)
Total weight of sunflower seeds available = 6.5 pounds
Number of packages made = 6.5/ 3/4
= 8.66666666667
= So 9 bags at the most
If you write 8, then you wouldn't be able to fit the other 0.5 pound and if you put 9, well you will have enough more space to put 6.5 pounds.
Hope this helps!!
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Hurry please this is timed
Answer:
none
Step-by-step explanation:
they don't ever meet, so no solutions
And solutions in this case means where the 2 lines intersect, something parallel lines don't do
5 +-8f+ -2f + -1 + -8
Answer:
= −10f − 4
Step-by-step explanation:
what are the coefficients of 4x -7 - 8x +17