Answer:
Point T is the right angle of the triangle, so RTS = 90 degrees
8x + 18 = 90 (degrees)
8x = 72
x = 9 degrees
Step-by-step explanation:
If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
What is perpendicular ?A line is said to be perpendicular to another line if the two lines intersect at a right angle i.e. make [tex]90^0[/tex] angle with that line.
We have,
[tex]\triangle RTS[/tex] in which,
[tex]\angle RTS=8x+18[/tex]
Also it is mentioned that [tex]TR \perp TS[/tex] i.e.
[tex]\angle RTS=90^0[/tex]
So, compare values of [tex]\angle RTS[/tex],
We get,
[tex]8x+18=90[/tex]
[tex]8x=72[/tex]
[tex]x=9^0[/tex]
Hence, we can say that If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
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Which undefined term is used to define an angle?
line
plane
point
ray
The undefined term is point.
What is an angle?In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.
Parts of an Angle
There are two main parts related to an angle - the arms and the vertex.
Arms of the Angle
The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.
[tex]vertex[/tex]of the angle
[tex]vertex[/tex] is a common endpoint that is shared by the two rays. Observe the figure in which the [tex]vertex[/tex] O is marked as the joining point of the two arms.
Measure of an angle
An angle is measured in degrees. One full rotation around a point forms a complete angle of 360°.
As, the is defined on the basis of arms , vertices, measurement.
They all related to point and point doesn't have a particular definition.
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What is the area of a rectangle with a length of x + 5
and a width of 4?
Answer:
[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]
Find the nth term of the quadratic sequence
Answer:
x^2
Step-by-step explanation:
all the numbers are square roots so n square is the nth term.
2^2= 4
3^2=9
4^2=16
5^2=25
6^2=36
Answer:
[tex] {n}^{2} [/tex]
Step-by-step explanation:
Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.
HELPPP! Which answer.
A: It shows a positive correlation
B: It shows a negative correlation
C: It shows no correlation
D: As fouls increase, points decrease
Answer:
most likely C
Step-by-step explanation:
the overall shape the points make don't go in any particular direction other than sideways, so there doesn't seem to be a particular correlation
Which of the following is equivalent to 5sqrt 13^3
Answer: D) 13^(3/5)
Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.
In the figure GHF=EHD. Which statement it true brother CP CTC?
A) FH=HE
B) DH=HF
C) GH=HD
D) GF=HD
Answer: DH and HF correspond.
A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.10 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answer:
The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"
Step-by-step explanation:
Null and alternative hypothesis:
[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]
Significance level: [tex]\alpha = 0.10[/tex]
It is decided that the null hypothesis at the defined meaning level is rejected.
A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators
Step-by-step explanation:
answer is in the image above
In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is
Answer:
x = 8 cm
Step-by-step explanation:
Given that,
In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.
We need to find the value of x.
In a square, all the sides are equal. So,
PQ = QR
2x +3 = 3x – 5
3+5 = 3x - 2x
x = 8
So, the value of x is equal to 8 cm.
Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not
8
7
6
15
4
1
3
2
1
-10-9
-7
-6
-5 -4
-3
-2 -1
1
2
3
4
5
6
28
9
10
-1
-2
-3
-4
17
-5
-6
Answer:
D- 456 is 3 2 7 4 = Ab
Step-by-step explanation:
Solve for u.
U/-1 +-4=-1
U =
Answer:
U = -3
Step-by-step explanation:
U/-1 +-4=-1
Add 4 to each side
U/-1 +-4+4=-1+4
U / -1 = 3
Multiply each side by -1
U / -1 * -1 = 3* -1
U = -3
If you can please help me with this question~ the question is the image :)
Answer:
B
Step-by-step explanation:
Start by using the distance formula to find the raidus
The two points are (-2,1) and (-4,1)
√((-4+2)²+(1-1)²)= 2
The radius is two and we have our center which means we can write
(x+2)²+(y-1)²=4
now it's just a matter of expanding everyhting
x²+4x+4+y²-2y-3=0
x²+y²+4x-2y+1=0
This is equal to B
Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=x ^5-3x^3
Answer:
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
Step-by-step explanation:
[tex]f(x)=x^5-3x^3[/tex]
[tex]0=x^5-3x^3[/tex]
[tex]x^5-3x^3=0[/tex]
[tex]x^3(x^2-3)=0[/tex]
[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
See the graph for a visual of the x-intercepts.
Round your answer to one decimal digit. The volume of a cylinder is 1 800 cm3. If the height of the cylinder is 40 cm then the diameter of the cylinder is
Answer:
7.57 cm
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
r= radius
h = height
1,800 = 3.14 x r² x 40
r² = 1800 /(3.14 x 40)
r² = 14.33121
√14.33121 = r
r = 3.785658 cm
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Diameter = 2 x 3.785658 cm = 7.57cm
The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior
Find the value of x.
a
x = 104
b
x = 72.5
c
x = 166
d
x = 93.5
Answer:
x=104
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
10.5 = 1/2( x-83)
Multiply each side by 2
2* 10.5 = 2*1/2( x-83)
21 = x-83
Add 83 to each side
21+83 = x-83+83
104 =x
Hope this help!!!
Have a nice day!!!
Solve 7x+6<3(x - 2).
Answer:
x<−3
Step-by-step explanation:
hope this works
Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial
the corresponding side length of two similar polygons are 6cm and 15cm if the area of smaller polygon is 32cm^2 then what is the area of the larger triangle?
Write the quadratic equation in standard form:
-7x+4=x^2
Answer:
x² + 7x - 4 = 0
Step-by-step explanation:
A quadratic equation in standard form is
ax² + bx + c = 0 ( a ≠ 0 )
Given
- 7x + 4 = x² ( subtract - 7x + 4 from both sides )
0 = x² + 7x - 4 , that is
x² + 7x - 4 = 0 ← in standard form
How many questions were on Victoria test
13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?
Answer:
63 inches tall.
Step-by-step explanation:
60 + 3 = 63.
Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754
Answer:
What is the number of boys? I think you forgot to add the number in.
Step-by-step explanation:
Don't worry, I'll still help you! I'll be here waiting! :)
what two numbers multiply to -78 and add to -7
546 Is The Answer
#KeepOnLearning
Answer:
13 and -6 or 6 and -13
Step-by-step explanation:
Use systems of equations
PLEASE HELP ASAP!!
What is the solution to the inequality |2n+5|> 1?
A)-3> n > -2
B)2< n <3
C)n<-3 or n>-2
D)n< 2 or n> 3
Answer:
C, n < –3 or n > –2
Step-by-step explanation:
The Thompson’s went out to eat at the Cheesecake Factory. If their bill was $68.65 and they gave their server a 15% tip, how much did they pay altogether?
Answer:
$78.94
Step-by-step explanation:
15% = 0.15
multiply to the total (68.65)
0.15 × 68.65 = 10.2975
$68.65 + 10.2975 = $78.94
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+3x-4x what is the answer for this equation
Answer:
[tex]-x[/tex]
Step-by-step explanation:
[tex]3x-4x = -1x[/tex]
Hope this helps
A parallelogram-shaped window is divided into two sections by a rectangular piece of wood. Find the total of the area of the surface.
The total area of the glass surface is _ square inches
y = 4 x − 1
y = − x + 4
Answer:
x=1 , y=3
Step-by-step explanation:
y = 4 x − 1
4(y = − x + 4)
y = 4 x − 1
4y= - 4 x +16
5y= 15
y=3
3=4x-1
+1 +1
4=4x
/4 /4
x=1
Does anyone know the Answer for this
Answer:
The value of y when x = 8 is -8.
Step-by-step explanation:
y = 8 - 2x
y = 8 - 2*8
y = 8 - 16
y = -8
Have a nice day!
