Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of x[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }
[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]
[tex] \sf{x \degree = 120 \degree}[/tex]
[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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CAN SOMEONE PLEASE HELP ME??
Answer:
3,-2 5,-3 2,1
Step-by-step explanation:
all the points in the shaded region are the right answer
PLZ HELP!
Carmen enters a painting in an art contest. The contest rules say that all paintings must be rectangular, with an area no greater than 3,003.84 cm2. Carmen's painting wins second prize in the contest. The painting that wins first prize has an area that is 1.6 times less than the greatest area the rules allow.
What is the area of the first-prize painting?
Please hurry it’s 100 points
Answer:
I Believe B
Step-by-step explanation:
Hope this helps:)
Answer:
B
Step-by-step explanation:
Its B
In a bag of marbles, there are 4 blue marbles, 6 yellow marbles, 3 red marbles and 6 green marbles. If you choose a yellow marble on your first draw and do not put it back in the bag, what is the probability you get a blue marble on the second draw? probability you get a blue marble on the second draw?
a. 1/6
b. 6/19
c. 4/19
d. 2/9
I’m not good at graphs :(
Answer:
D -2/5
Step-by-step explanation:
So first you count up or down from a point, that's 2
then you'll count side to side that's 5
2/5
but this is a negative slope because it's pointing up to the left
-2/5 is the slope
Answer:
:)
Step-by-step explanation:
Please help thanks I’m so confused
Answer:
64.93=4.73x+22.36
Step-by-step explanation:
64.93 is how much he paid
22.36 is his constant
4.73 is for 1 call
let f(x)=2x and g(x)=2x
Graph functions on the same coordinate plane.
What solutions to the equations f(x)=g(x)?
Answer:
Rewrite (Lambert form):
[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]
Simplify :
[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]
Solve:
[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]
Result:
[tex]x=2,\:x=1[/tex]
Hope this helped u :)
If this was too complicated I can edit it for you.
guys i’m in a hurry please help meeee
Answer:
try both -1, if I'm wrong I am sorry
What is the equivilent of +367 on a numberline?
Answer:
367
Step-by-step explanation:
367 because it is positive
Is quadrilateral UVWX a parallelogram? Why or why not?
Answer:
C
Step-by-step explanation:
Slope of UV = 0 = Slope of XW
So UV is parallel to XW.
Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2
Slope of VW = [6-(-4)]/(0-4) = -5/2
Slope of UX = Slope of VW i.e. UX is parallel to VW.
It is a parallelogram because opposite sides are parallel.
Answer:
Yes, because opposite sides are parallel.
Step-by-step explanation: I took the test
Please help me with this question
Step-by-step explanation:
y-intercept in the point x = 0
B) is the easiest
g(x) or y value
g(x) = 3x² + 6x -9
= 3(0)² + 6(0) -9
= 0 + 0 -9
= -9
y-intercept = (0,-9)
please help and show work if you can
Answer:
7. x = 5
8. x = 2, y = 6
9. x = 21, y = 39
Step-by-step explanation:
For a parallelogram, the lengths across intersection are equal.
7. For a parallelogram, the lengths across intersection are equal.
So that,
3x = 4x - 5
4x - 3x = 5
x = 5
8. For a parallelogram, the lengths across intersection are equal.
So that,
2x = 4
x = [tex]\frac{4}{2}[/tex]
x = 2
and
y - 1 = 2y -7
7 - 1 = 2y - y
y = 6
x = 2, y = 6
9. For a parallelogram, opposite angles have equal value.
Thus,
3x = (4x - 21)
3x = 4x - 21
x = 21
and
3y = (y + 78)
3y = y + 78
3y - y = 78
2y = 78
y = [tex]\frac{78}{2}[/tex]
= 39
y = 39
x = 21, y = 39
Will give brainliest
In terms of x, find an expression that represent the area of the shaded region . The outer square has side lengths of x+5 and the inner square has side lengths of x-2 .
*image*
Area: ______ square units
Answer:
the expression to find the shaded region : 14x+21
Step-by-step explanation:
(x+5)² - (x-2)² solve by distribution
7(2x+3)
14x+21
Answer:
14x+21
Step-by-step explanation:
(x+5)² - (x-2)²
7(2x+3)
14x+21
Find the coordinates of the vertex of the following parabola algebraically.
Write your answer as an (x, y) point.
y = x2
Answer:
I have no idea what it is sorry
PLEASE HELP
The picture below shows a loading platform that extends out 6 feet from the back of a truck. What is the exact length of the platform?
Answer:
really easy its 180
Step-by-step explanation:
because you multiply 30 times 6 u get 180
Answer:
5.2 ft
Step-by-step explanation:
[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]
Kieran, Jermaine and Chris play football.
Kieran has scored 8 more goals than Chris.
Jermaine has scored 5 more goals than Kieran.
Altogether they have scored 72 goals.
How many goals did they each score?
Step-by-step explanation:
Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.
x + (x + 8) + (x + 13) = 72
Now we can rearrange and solve for x.
3x + 21 = 72
3x = 51
x = 17
Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7
Answer:
[tex]\mathrm{C)\:}x=15,\:-7[/tex]
Step-by-step explanation:
For [tex]|a-b|=c[/tex], there are two possible cases:
[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]
Solving for both cases, we get:
[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]
help please!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
a) $336
b) $1036
Step-by-step explanation:
a) The interest is computed using the formula ...
I = Prt
where P is the amount invested at rate r for t years.
I = $700·0.08·6 = $336
The interest earned is $336.
__
b) The balance of the account is the sum of the original amount and the interest earned:
balance = $700 +336 = $1036
The balance of the account is $1036.
Please helpppp........,
I need this answered!
Simplify the following expression:
5s + 72 - 6
use s = -8 and z = -3
I Record your answer in this box:
Answer:
I believe its -82
Step-by-step explanation:
5 × -8 + 7 × -3 = -82
1/7 of a birthday cake was left over from a party. The next day, it is shared among 8 people. How big a piece of the original cake did each person get?
Answer:
1/56
Step-by-step explanation:
ploz brainliestt
Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *
a,38.29
b.27.29
c.0.55
d.0.45
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
Lehana and Marty each opened a savings account with a deposit of $100.
● Lehana earned 2.5% simple interest per year.
● Marty earned 2% simple interest per year.
● Neither of them made additional deposits or withdrawals.
How much more did Lehana receive in interest than Marty after three years?
Answer:
100*.025*3=7.5 100+7.5=107.5
100*.02*3=6 100+6=106
107.5-106=1.5
$1.50
Step-by-step explanation:
thats it
help please !! thank you!
Answer:
.5
Step-by-step explanation:
if you put ur mouse on -2 then move to the right 1.5 you will get .5
Hope this Helps!!!
Answer:
-.5
Step-by-step explanation:
1.5 +-2 is -.5 hope this helps
from the adjoining figure, find the value of x
Answer:
x = 2°
Step-by-step explanation:
x + 2x + 30 = 180°
3x + 30 = 180°
3x = 180°/30°
3x = 6°
x = 6°/3°
x = 2°
Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?
Answer:
AC=11.38 cm
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:
[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]
[tex]AC^2=289+169-442*0.7431[/tex]
[tex]AC^2=129.53[/tex]
[tex]AC=\sqrt{129.53}[/tex]
AC=11.38 cm
1 - 2k + 5k <_ -4 + 3k
Answer:
No solution.
Step-by-step explanation:
1-2k+5k<-4+3k Combine like terms on each side wherever you can.
1+3k<-4+3k Subtract -3k on both sides (it's less confusing when you get
-3k -3k rid of the variable first).
1<-4 1 is not less than or equal to -4, so there is no solution.
I hope this helped you out!! Have a great day (*^3^)╭
A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flagpole?
Answer:
48
Step-by-step explanation:
by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48
Find the missing length marked with a question mark.
UVW-USR
Given:
[tex]\Delta UVW\sim \Delta USR[/tex]
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
[tex]\Delta UVW\sim \Delta USR[/tex]
Corresponding sides of similar triangles are proportional, so
[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]
Using this, we get
[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]
On substituting the values, we get
[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]
[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]
On cross multiplication, we get
[tex]70\times 4=5\times x[/tex]
[tex]280=5x[/tex]
[tex]\dfrac{280}{5}=x[/tex]
[tex]56=x[/tex]
Therefore, the missing length is 56 units.