Answer:
120°
Step-by-step explanation:
The two angles are alternate angles and has same measurement.
Please Help!! Brainliest Answer! Thank you!
Answer:
x=4.5
Step-by-step explanation:
The sum of all the angles in a square=360°
20(4.5)=90
90×4=360
If the length of the segment AB is 5, and BC is 9, and CD is three, find the difference between the furthest and shortest possible distance of AD?
A: 12
B: 13
C: 14
D: 15
E: 16
9514 1404 393
Answer:
E. 16
Step-by-step explanation:
If the order of points on the line is ABCD, the distance between A and D is ...
AB +BC +CD = 5 + 9 + 3 = 17
If the order of points on the line is BADC, the distance between A and D is ...
BC -BA -DC = 9 -5 -3 = 1
Then the difference between the longest and shortest possible distances AD is ...
17 - 1 = 16 . . . . matches choice E
Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.
Answer:
7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
9) [tex]5log_4(7) - 5log_4(12)[/tex]
11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]
Step-by-step explanation:
[tex]log_3 (\frac{x}{y})^{4}[/tex]
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Use Logarithm of a Quotient which states
[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]
And also use Logarithm of a Power which states
[tex]log_b\ M^{n} = n\log_bM[/tex]
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So using these two properties,
7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
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For #9, use the same logarithm propertied
[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]
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#11 is also the same concept
[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]
It is not - 5 log5(y) since only x is to the power of 5 not y
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Hope this is what you were looking for and helps you! Have a nice day/night :)
john uses a small card and a large card that are similar in size in his magic show. what is the area if the small card?
Answer:42.7in^2
that what answer i am sure of
An average Sandhill crane is 37 inches tall. This is 22 inches less than the average Whooping Crane’s height. Write and solve an equation to show the average height of the Whooping crane.
Answer:
37 - 22 = WC height
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
55 lbs of $0.40 and 45 lbs of $1.40
Step-by-step explanation:
Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.
There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:
0.4 * x + 1.4 (100-x) = 0.85 * 100
Solve!
0.4x + 140 - 1.4x = 85
-x + 140 = 85
-x = -55
x = 55
From this we get that 100 - x = 45.
So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40
A computer can be bought on Hire
Purchase with a down-payment of
$ 1600 and 12 monthly installments of $ 500. If the cash price on the computer is $ 5600, how much more than the cash price is the Hire Purchase price?
A) $60
B) $760
C) $1600
D) $2000
3. Larry randomly surveyed students in his school as to what the new school mascot should be. The results are shown in the table below.
(a) Which survey might be biased? Explain your answer.
(b) Which mascot seems to be the winner? Why do you think that?
(c) Using only information from the unbiased survey, approximately what percent of students choose Wildcats for the new mascot?
(d) If there was 800 students in Larry’s school, approximately how many students in the school could he claim would vote for Mustangs? Round to the nearest whole number if necessary.
Covert this repeating decimal into a fraction ANSWER CHOICES 4936/990, 530/900,674/990,8099/990
Find the value of f(-8).
9514 1404 393
Answer:
8
Step-by-step explanation:
F(-8) is found by locating x = -8 on the x-axis, then determining the y-coordinate the graph has at that point.
f(-8) = 8
all expressions equivalent to 6x+1-(3x-1)
Draw a line say ab take point c out of it through c draw a line parellel to ab using compass and ruler only
Answer:
give me brainliest
Given a line AB with Point C outside it.
Mark point D on the line AB. Join CD
With D as center, and any radius, draw an arc intersecting AB at E, and CD at F.
With C as center, and same radius as before, draw an arc intersecting CD at G.
Open a compass to length EF
Now,with G as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.
Draw a line m passing through C and H.
Thus m is the line parallel to AB, and passing through point C
∴m∣∣AB
Step-by-step explanation:
Please help me will give Brain
Step-by-step explanation:
y=42
x=90
Since the triangle has the hypotenuse as the diameter of the circle, the angle opposite the hypotenuse which is x is equal to 90 degrees.
Whenever there is a triangle with the corner of the triangle touching the side of the triangle, the distance between the two legs of the triangle on the circle is 2 times the angle of the corner that is touching. So 21(2)=42
Hope this helps :)
Log10 (2x + 1) - logio(3x - 2) = 1
Answer: x=3/4
Step-by-step explanation:
To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .
log((2x+1)/(3x-2))=1
Then, express the equation to its equivalent exponential form to eliminate the logarithm.
Note that the exponential form of log_b M=a is M=b^a .
Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.
So re-writing the equation, it becomes:
log_10((2x+1)/(3x-2))=1
And its exponential form is:
(2x+1)/(3x-2)=10^1
(2x+1)/(3x-2)=10
Now that the equation has no more logarithm, the next step is to remove the x in the denominator.
To do so, multiply both sides by 3x-2.
(3x-2)*(2x+1)/(3x-2)=10*(3x-2)
2x+1=30x-20
Next, combine like terms.
To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.
2x-2x+1=30x-2x-20
1=28x-20
To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.
1+20=28x-20+20
21=28x
And, divide both sides by 28 to have x only at the right side.
21/28=(28x)/28
3/4=x
Hence, the solution to the given equation is x=3/4 .
The number of students enrolled at a college is 14,000and grows 4%each year
Answer:
so what exactly is the question? it's not complete yet, I guess..what do you want me to find?
The verticals of the triangle shape are A (-2, 4) , B (-2,3) , and C (-5,2). If ABC is reflected across the line y = -1 to produce the image of A'B'C', What's the coordinate of B' after a reflection across the line y=-1?
Given:
The vertices of a triangle are A (-2, 4) , B (-2,3) , and C (-5,2).
Triangle ABC is reflected across the line y = -1 to produce the image of A'B'C'.
To find:
The coordinate of B' after a reflection across the line y=-1.
Solution:
If a figure is reflected across the line y=b, then
[tex](x,y)\to (x,-(y-b)+b)[/tex]
[tex](x,y)\to (x,-y+b+b)[/tex]
[tex](x,y)\to (x,2b-y)[/tex]
The given triangle ABC is reflected across the line y=-1. So, the rule of reflection is
[tex](x,y)\to (x,2(-1)-y)[/tex]
[tex](x,y)\to (x,-2-y)[/tex]
The coordinates of point B are (-2,3). So,
[tex]B(-2,3)\to B'(-2,-2-3)[/tex]
[tex]B(-2,3)\to B'(-2,-5)[/tex]
Therefore, the coordinates of point B' are (-2,-5).
Forty out of 50 people surveyed in a small towns' coffee shop are
planning on voting in the next election. If there are 400 people in the
town, how many people do you predict will vote in the next election? *
The price of an Item has risen to $108 today. Yesterday it was $80. Find the percentage increase.
Answer:
74%
Step-by-step explanation:
please help i need the answer asap :) !!
Answer:
6^(2/3)
Step-by-step explanation:
exponent fraction rule
Answer:
the first one, 6^2/3
Step-by-step explanation:
A hot air balloon is 70 m above the sea. Two buoys A and B are due East of the
balloon.
The angle of depression from the balloon to buoy A is 60°.
The angle of depression from the balloon to buoy B is 40°.
Calculate the distance AB. (Round to the nearest tenth.)
Answer:
Step-by-step explanation:
in the rough drawing i've included we want to find the distance of AC and BC and the subtract the shorter from the longer or
BC- AC = AB
does this strategy seem like a good one?
use the mnemonic SOH CAH TOA to remember how sin, cos, and tan, fit on a triangle
SOH Sin = Opp / Hyp
CAH Cos =Adj / Hyp
TOA Tan = Opp / Adj
where Opp = Opposite side, Adj = Adjacent side , and Hyp = Hypotenuse
we are given an angle and the Opposite side so we can use Tan , since that has the thing we want to find, and the things we know.
when AC is the Adj side it's
Tan(60) = 70 / Adj
Adj = 70 / Tan(60)
Adj = 40.4145
Dist. of AC = 40.4145 m
When BC is the Adj side it's
Tan(40) = 70 / Adj
Adj = 70/ Tan(40)
Adj = 83.42275
Dist. of BC = 83.42275
BC - AC = AB
83.45575 - 40.4145 =43.008
to the nearest tenth AB = 43.0 m
add 4 1/7+5 3/7+2/7.
Answer:
9 6/7 is the answer
The graph shows the locations of point C and point D. Point E is graphed at (n, 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.
Answer:
4,n=4
Step-by-step explanation:
D=(n,-2) and E=(n,2)
the distance from D to E ,
√{(n-n)^2+(-2-2)^2}=√16=4
the co-ordinate of point C=(0,-2)
given,DC=DE
→√{(n-0)^2+(-2+2)^2}=√16
→n^2=16
therefore,n=4
1. Use the distributive property to write an expression that is equivalent to 12+4x.
Enter the equation of the circle described below.
Center (3, -2), radius = 5
Answer:
[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]
Step-by-step explanation:
The equation of the circle with center A=(a,b) and radius = r are:
[tex](x-a)^{2}+(y-b)^{2} =r^{2}[/tex]
When A=(3,-2) and radius=r=-5
[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]
Choose the equation that could be used to solve for the missing side.
HELP ME PLZZZZZ!!
the answer is C because Cos is adj/hyp. Since there is only one option that even has cos involved, it must be the correct answer.
Calculate the PERIODIC interest rate for a $10,000 loan
compounded semi-annually at a rate of 14%.
GIVING BRAINIEST
Which of the following is an example of DESCEND?
A. a car traveling through a tunnel
B. a hiker climbing a mountain
C. a plane landing at the airport
D. a submarine climbing to the surface of the ocean
Answer:
D because you going up to the surface
Answer:
its c
Step-by-step explanation:
For the rhombus below, find the measure of 1, 2, 3, and 4.
Answer:
Angle 1 is 51, Angle 2 is 51, Angle 3 equal 39, Angle 4 is 51
Step-by-step explanation:
A rhombus diagonals are perpendicular so all the angles in the middle of the rhombus measure is 90 degrees. So this means we are dealing with 4 right congruent triangles.
Since a rhombus is a paralleogram, it opposite sides are parallel. Since there is a line that it cuts through the parallel line, Angle 3 and 39 are alternate interior angles.
Alt. interior angles are congruent so Angle 3=39.
In the upper left triangle, angle 3 ,angle 4, and the middle angle form 180 degrees since it a triangle. The middle angle measure 90 degrees. so we can find angle 4.
[tex]39 + 90 + x = 180[/tex]
[tex]129 + x = 180[/tex]
[tex]x = 51[/tex]
so angle 4=51.
Angle 4 and Angle 1 are alt. interior angles so that means Angle 1 also equal 51.
Rhombus also has angle bisectors to angle 1=angle 2.
Angle 2=51.
What’s the answer to this problem?
The cost of levelling a rectangular field at
50 per square metre is 30,000. If its length
and breadth are in the ratio of 3: 2, then find
its perimeter. pls help
Answer:
The perimeter of a rectangular field is 100 meters
Step-by-step explanation:
The given data of the rectangular field are;
The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²
The total cost of levelling the field, T[tex]_c[/tex] = 30,000
The length to breadth ratio of the field, L:B = 3:2
Where;
L = The length of the field
B= The breadth of the field
From the given data of the field, we have;
The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]
∴ A = 30,000/(50/m²) = 600 m²
The area of the field, A = 600 m²
The formula for the area of a rectangle, A = Length, L × Breadth, B
A = L × B
We are given that the length to breadth ratio of the field, L:B = 3:2
∴ L/B = 3/2
L = (3/2) × B
The area of the rectangular field, A = L × B
∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²
A = (3/2) × B²
From the calculation for the cost of levelling the field, we have, A = 600 m²
∴ A = (3/2) × B²
A = 600 m²
By transitive property, we have;
(3/2) × B² = 600 m²
B² = (2/3) × 600 m² = 400 m²
B = √(400 m²) = 20 m
The breadth of the field, B = 20 m
From L = (3/2) × B, we have;
L = (3/2) × B
∴ L = (3/2) × 20 m = 30 m
∴ The length of the field, L = 30 m
The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;
The perimeter of a rectangle, P = 2·L + 2·B
Therefore, for the rectangular field, we have;
P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m
The perimeter of a rectangular field, P = 100 m.