Answer:
x = 13
Step-by-step explanation:
BD is the hypotenuse of the smaller triangle and corresponds to 2x - 7. 51 is the longer leg of triangle EFG
The ratio of the two hypotenuses is (2x - 7)/57, and the ratio of the two longer legs is (x + 4)/51. These ratios are equal to one another. Thus:
2x - 7 x + 4
--------- = ---------
57 51
Cross multiplication results in 51(2x - 7) = 57x + 228, or
102x - 357 = 57x + 228
Combining like terms, we get:
45x = 585, and so x = 13.
Please help me please I really need help please help me
Answer:
See attached
Step-by-step explanation:
See reflected image in the attached picture
Two angles which are on opposite sides of the transversal and between the parallel lines and do not share the same vertex. They are congruent.
Answer:
Interior angles are congruent.
Step-by-step explanation:
We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.
Angles 3,6 are opposite and do not share the same vertex.
Similarly angles 4 and 5 do not share the same vertex.
They are congruent.
If we look closely we see that angles 3 &4 and angles 5&6 are supplementary angles.
i.e they together make up the 180 degrees on the straight line.
On the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles
which also make supplementary angles on the parallel lines.
From the diagram we see that
∠ 5= ∠7
and
∠6 = ∠ 8
as the corresponding angles are equal
∠8=∠3
∠7=∠4
As they are opposite angles
Similarly
∠1=∠6
∠2=∠5 ( opposite angles)
From above
∠5=∠7
but ∠7= ∠4
therefore
∠ 5= ∠4-----------------A
Also
∠6 = ∠ 8
but ∠8=∠3
therefore
∠6=∠8----------------------B
From An and B we conclude interior angles are congruent
6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x)
Answer:
x=-0.5
Step-by-step explanation:
6.8x + 9.3= -9.4 + 3.4 (2-5x)
6.8x + 9.3 = -9.4 + 6.8 - 17x
6.8x + 9.3 = -2.6 - 17x
22.8x = -11.9
x = -0.5
The hypotenuse of a right triangle is 75 m. One of the legs measures 45 m. What is the length of the missing leg?
Answer:
60 m
Step-by-step explanation:
A^2+b^2=c^2
a^2+45^2=75^2
a^2+2025=5625
a^2=3600
a=60
Tran checked the time on his watch after he finished his daily run select the time that Tran finished running mark all that apply
Answer:
(a) and (b) are correct
Step-by-step explanation:
Given
See attachment for complete question
Required
Select the correct options
A clock is divided into two equal parts.
(1) 1 - 6
(2) 7 - 12
When the hour hand is on (1), then the time is "after"
When the hour hand is on (2), then the time is "before"
From the attached clock, we have:
(1) The hour hand on 9
(2) The minute hand 1 unit above 9 i.e. 46 minutes
(1) implies that, the time is before 9 i.e. past 8
(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8
In (1) and (2) above, we have two interpretations.
1: (60 - 46) minutes before 9
This gives:
14 minutes before 9
2: 46 minutes past 8
i.e. 8 : 46
10 pnts for whoever gets one right 10 pnts and brainliest for whoever gets them bothe right
Answer:
1) $15 more
2) Formula: 1/2 (2+5) 10
Area: 35
Step-by-step explanation:
1) 30-15=15
2) 1/2 (2+5) 10 = 35
What is the y-intercept for the line at the right? _________ .What is the slope of the line? __________ .Write the equation of the line in slope-y intercept form.
What is the area of the trapezoid?
A) 176 cm^2
B)192 cm^2
C)208 cm^2
D)224 cm^2
Answer:
a
Step-by-step explanation:
.
I know this is in german but i really really need help...
Answer:
i would have helped u
Step-by-step explanation:
but i have forgotten the steps in solving this question
Answer:
is this Afrikaans laguage I don't understand your questions please comment it in English for me
HELP I WILL GIVE BRAINIEST
Answer:
sorry I can only answer no.3
[tex]4x - 2 = 180 \\ 4x = 180 + 2 \\ 4x + 3x = 182 \\ \frac{7x}{7} = \frac{182}{7} \\ x = 26[/tex]
Find the equation of the circle with a center at (2,-1) and a radius of square root of 12
Answer:
[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0
Step-by-step explanation:
Given that, center at (2,-1)
let a = 2, b = -1
radius, r = [tex]\sqrt{12}[/tex]
As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.
By this formula , we can get,
[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]
[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12
[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0
This is the answer.
8x−2=−11+7x +2
Please help me!!
Answer:
x=-7
Step-by-step explanation:
8x - 2 = -11 + 7x + 2
First, separate the terms: move x to one side
subtract 7x from both sides
8x -7x - 2 = -11 + 7x -7x + 2
x - 2 = -11 + 2
Now get x by itself by adding 2 to both sides
x - 2 +2 = -11 + 2 +2
x = -11 + 4
simplify
x = -7
you're welcome
Mary made 12 bracelets. 9 of those bracelets are the color blue.
What percent of bracelets are blue?
Answer:
75%
Step-by-step explanation:
We know that Mary made twelve bracelets and also that nine of them are blue, we are then asked to find the percentage of the bracelets that are blue.
To solve, first get a fraction of how many of the bracelets are blue. Since there are twelve in total, 12 will be our denominator, and since 9 are blue, 9 will be our numerator.
[tex]\frac{9}{12}[/tex]
Now to turn this into a percentage, we need to reduce this fraction to the lowest we can. Both numerator and denominator are divisible by 3, so do as followed :
[tex]\frac{9/3}{12/3}[/tex]
[tex]\frac{3}{4}[/tex]
Divide 3 by 4 :
[tex]3/4 = 0.75[/tex]
Multiply 0.75 by 100 to get our percentage :
[tex]0.75 * 100 = 75[/tex]%
Find the value of x in this equation?
-1 = x - 2
Answer:
-1=x-2
-1+2=x
x=1
Step-by-step explanation:
I will post the other reasons rn
Answer:
yeah i gotta see the others
Step-by-step explanation:
(5 x 10^6) x (6 x 10^8)
give answer in standard form.
(answer = 13 points)
Answer:
3 x 10^15
Step-by-step explanation:
5 x 10^6 x 6 x 10^8
30 x 10^14
3 x 10 x 10^14
3 x 10^15
(5 × 6) × (10 ^ 8 + 6) = 30 × 10 ^ 14
GUYS SINCE YOU ARE SMART AND IM NOT HELP PLEASE
How many significant figures are in 609.80
There are 5 significant figures.
Answer the question in the picture?
Answer:
19
Step-by-step explanation:
we know the sides of a rhombus is all equal, so:
4(2x+4)=168
8x+16=168
8x=152
x=19
We have a population of 200 people with a growth rate of 2%. Which equation do we use to calculate how long it will take for the population to double to 400 people? 70/.2 200/,2 200x2 400/2 70/2 70/.02 200/.02 200x.02 200/2
Answer:
70/2
Step-by-step explanation:
We have a population of 200 people
Growth rate = 2%
How long it will take for the population to double
Double the population = 2× 200 = 400
The formula for Exponential growth =
y = a(1 + r)^t
y = Value at time t = 400
a = Initial value = 200
r = 2% = 0.02
t = ?
Hence:
400 = 200 ( 1 + 0.02)^t
Divide both sides by 200
400/200 = 200 ( 1 + 0.02)^t/200
2 = (1.02)^t
Take logarithm of both sides
log 2 = log(1.02)^t
log 2 = t log 1.02
t = log 2/log 1.02
t = 35.003417942
Approximately t = 35
We have so many formula to calculate doubling time
t = 70/Growth rate
From the above question
Growth rate = 70/2%
= 35
Therefore, the equation that we use to calculate how long it will take for the population to double to 400 people is 70/2
If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
getting exactly 2 threes?
Answer:
The probability of rolling the die once to get a four is 1/6
Step-by-step explanation:
So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities
Brainliest?
Carolina is mowing the lawn for a summer job. For each cutting job, she charges an initial fee of $ 8 plus $ 6 for each hour of work. 1-Write an equation (in the form y = mx + b) to represent this problem. 2-If Carolina is paid a total of $ 32, how many hours did she work?
Answer:
F(t) = 8 + 6(t)
Step-by-step explanation:
6*4 = 24
32-24 = 8
so her initial fee is $8
so function is:
F(t) = 8 + 6(t)
Answer:
1. y = 6x + 8
2. 4 hours.
Step-by-step explanation:
x is each hour of work.
y is the total that Carolina is paid.
y = mx + b
32 = 6(x) + 8
Subtract 8 from both sides.
6x = 32 - 8
6x = 24
Divide both sides by 6.
x = 4
Carolina is works 4 hours to be paid 32.
Multiply and simplify. y^3 . y^5 . y^-2 .y
A. y^-4
B. 1/y^4
C. y^-5
D. 1/ y^3
Answer:
y^7
Step-by-step explanation:
y^3 . y^5 . y^-2 . y
= y^3 . y^5 . y^-2 . y^1
= y^( 3 + 5 - 2 + 1 )
= y^( 3 + 5 + 1 - 2 )
= y^( 9 - 2 )
= y^7
The volume of a cylinder is 325 pi cubic centimeters and its radius is 5 centimeters.
What is the height of the cylinder?
__cm
Answer:
13 cm
Step-by-step explanation:
just took the test
Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2
A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4
9514 1404 393
Answer:
B. x^4/4
Step-by-step explanation:
[tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
A cylinder with height of 4 meters has a volume of 2,827.43 cubic meters. Find the length of the diameter.
Answer: 30 meters
Step-by-step explanation:
Volume of a cylinder = πr^2h
2,827.43 = πr^2(4)
2,827.43 = 3.14(4)r^2
2,827.43 = 12.56*r^2
2,827.43/12.56 = (12.56*r^2)/12.56
225.11 = r^2, find square root of both sides
r = 15
diameter = 30
Pls help I’ll give brainliest
Answer:
5
Step-by-step explanation:
solve for the x value of the x intercept of the line 5x-y=-5
You have a box with 5 blue marbles, 4 red marbles, and 9 yellow marbles. You are going to pull out one marble, record its color, put it back in the box and draw another marble. What is the probability of pulling out a blue marble followed by a yellow marble?
Answer:
I think it's 45/196.
Step-by-step explanation:
Not sure though, no explanation.
The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .
What is probability ?
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
Based on the given conditions, formulate 9 ×9÷((9 + 5 + 4) ×(9 +5 +4))
Calculate the product or quotient = [tex]\frac{81}{(9 +5 + 4) * (9 + 5 + 4)}[/tex]
Calculate the sum or difference= [tex]\frac{81}{(14 + 4) * (9 +5+4)}[/tex]
Calculate the sum or difference = [tex]\frac{81}{18 * (9+5+4)}[/tex]
= [tex]\frac{81}{18 * (14 + 4)}[/tex]
=[tex]\frac{81}{18 * 18}[/tex]
Calculate the product or quotient = [tex]\frac{81}{324}[/tex]
Cross out the common factor = [tex]\frac{1}{4}[/tex]
get the result 25% or 0.25
Therefore, The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .
Learn more about probability brainly.com/question/743546
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Jade has tax deducted from her income at the rate of 24%.
Last month, after tax had been deducted, $1786 of her income remained.
Calculate her income last month before the tax was deducted.
Answer:
$2350
Step-by-step explanation:
Let Jade's total income be X
Therefore,the tax deducted was 24%x
Forming an equation:
X= 24%x + 1786
X = 0.24x + 1786
Collecting like terms
x - 0.24x = 1786
0.76x =1786
x= 1786 ÷0.76
X= $2350