Answer:
[tex]ST = 10[/tex]
Step-by-step explanation:
Given
[tex]RT =4x[/tex]
[tex]ST = 5x - 10[/tex]
[tex]RS = 6[/tex]
Required
Determine ST
Since S is on RT, we have that:
[tex]RT = RS + ST[/tex]
[tex]4x = 5x - 10 + 6[/tex]
[tex]4x = 5x - 4[/tex]
[tex]4x - 5x= - 4[/tex]
[tex]-x= - 4[/tex]
[tex]x= 4[/tex]
Substitute 4 for x in [tex]ST = 5x - 10[/tex]
[tex]ST = 5 * 4 - 10[/tex]
[tex]ST = 20 - 10[/tex]
[tex]ST = 10[/tex]
Answer: It Equals 8
Step-by-step explanation:
Point S is on line segment \overline{RT}
RT
. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.
ST
.
\text{Label known information:}
Label known information:
R
S
T
2x + 7
5x – 7
RT = 4x + 9
RS+ST=
RT
Segment addition postulate
\color{darkgreen}{2x+7}+\color{darkblue}{5x-7}=
2x+7+5x−7=
\,\,\color{darkred}{4x+9}
4x+9
Substitute expressions
7x=
7x=
\,\,4x+9
4x+9
Combine like terms
-4x\phantom{=}
−4x=
\,\,-4x
−4x
3x=
3x=
\,\,9
9
\frac{3x}{3}=
3
3x
=
\,\,\frac{9}{3}
3
9
Divide by 33
x=
x=
\,\,\color{darkgreen}{3}
3
\text{Plug in value of }x\text{ to find }ST\text{:}
Plug in value of x to find ST:
ST=5x-7=5\left(\color{darkgreen}{3}\right)-7=8
ST=5x−7=5(3)−7=8
\text{You can plug }x\text{ into each expression:}
You can plug x into each expression:
Optional to check work
R
S
T
2(3) + 7
5(3) – 7
RT = 4(3) + 9
\text{Simplify:}
Simplify:
R
S
T
13
8
RT = 21
\text{Final Answer:}
Final Answer:
ST=\color{green}{\mathbf{8}}
ST=8
ms kim borrowed 1350 to buy to used a automobile if she repays 75 a month how many months will it take ro pay back the loan
Answer:
18 months
Step-by-step explanation:
since 1350/75 is 18
Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference. Which choice represents the sample space, S, for this event?
Answer:
S = {ABC, ABD, ACD, BCD}
Step-by-step explanation:
We are told that Ariana, Boris, Cecile, and Diego are students in the service club.
Let's denote their names with letters;
Ariana = A
Boris = B
Cecile = C
Diego = D
We are told that Three of the four students will be chosen to attend a conference. This means that the sample space will be a set showing combination of any 3 out of the 4 students.
Thus, sample space is;
S = {ABC, ABD, ACD, BCD}
Answer:
A
Step-by-step explanation:
What is the value of x?
Triangle B C D. Angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees.
56°
66°
124°
236°
Answer:
56°
Step-by-step explanation:
The interior angles of a triangle add up to 180.
You would first set up the following problem:
91 + 33 + x = 180
You would now subtract 91 from both sides.
33 + x = 89
You would now subtract 33 from both sides.
x = 56
The value of x is 56 degrees.
Angle of triangle D is 56 degrees.
What is a triangle?"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."
We have
Angle sum property of a triangle = [tex]180^{0}[/tex]
<B + <C + <D = [tex]180^{0}[/tex]
⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]
⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]
⇒ [tex]x^{0}=56^{0}[/tex]
The value of x is 56 degrees.
Hence, angle of triangle D is 56 degrees.
Learn more about triangle here
https://brainly.com/question/8492819
#SPJ2
Write the equation of the line through the given points (3, 5) and (-3,-3) in the three different forms.
Point-Slope Form
Slope-Intercept Form
Standard Form
Answer:
y-5=1/3(x-3)
y=1/3x+4
no standard form
Step-by-step explanation:
please help me with this it’s due soon
Answer:
39.5 degrees
Step-by-step explanation:
180-101=79
79/2=39.5
distributive property is a property of equality
A) true
B) false
Answer:
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.
Can someone please help me with this and show work as well
4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the same distance both days. How many miles long is one lap around the trail?
Answer:
c
Step-by-step explanation:
help pleaseeeeeeeee
Answer:
its a little blury but i got -3,-9
For which values of A, B, and C will AX +BY=C be a vertical line through the point (8,6)
A. A=1, B=0, C=6
B. A=1, B=0, C=8
C. A=0, B=1, C=6
D. A=0, B=1, C=8
Answer:
B. A = 1, B = 0, C = 8
Step-by-step explanation:
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (8, 6) with x- coordinate 8, thus
x = 8 is the equation of the vertical line
In comparison to
Ax + By = C, then
A = 1, B = 0, C = 8, that is
x + 0 = 8
x = 8 being the required equation
write in the simplest form 5.73 - ( -3.56)
Answer:
9.28
Step-by-step explanation:
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
A. -6,144
B. -118,098
C. -3,072
D. -354,294
Answer:
C
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 3 and r = 2 , thus
a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C
find the missing angle
129 degrees is the correct answer for the missing angle number 1 :)
Write in point-slope form an equation for the line through
the point (2, -3) that has the slope of -2. Use point-slope
form
Answer:
y=-2x+1
Step-by-step explanation:
y-y=m(x-x1)
y-(-3)=-2(x-2)
y+3=-2x+4
-3 -3
y=-2x+1
(3,-7); m=4/3 write in standard form
Answer:
In standard form it will be 4x-3y=33
Step-by-step explanation:
Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)
Answer:
[tex]d=9.2[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -5)
Point (-2, 1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-2-5)^2+(1-(-5))^2}[/tex]Simplify: [tex]d = \sqrt{(-2-5)^2+(1+5)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-7)^2+(6)^2}[/tex]Evaluate: [tex]d = \sqrt{49+36}[/tex]Add: [tex]d = \sqrt{85}[/tex]Evaluate: [tex]d=9.21954[/tex]i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8
Answer:
14
Step-by-step explanation:
-6+x=1
8
-6+x=1×8
x=8+6
x= 14 ans
Infer Jamal is in a car going north. He looks out his window and thinks that the northbound traffic is moving very slowly. Ellen is in a car going
south. She thinks the northbound traffic is moving quickly. Explain why Jamal and Ellen have different ideas about the motion of the traffic.
Answer:
relax jamal dont pull up the 9
Step-by-step explanation:
Can someone please help me with this? It’s the last problem I need to turn in a test, I will mark brainliest :(
Answer:
33b - 8
Step-by-step explanation:
You solve for the perimeter like you would for any other shape by adding all the sides
The perimeter is side A + side B + side C.
so it's 9b+8 + 12b-8 + 12b-8
Add all the like terms
9b + 12 b + 12b = 33b
8 - 8 - 8= -8
= 33b -8
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–3t
What is the c.o.p. that describes the relationship between h and t.
Write an equation that could be used to fine the number of comic books, x Jacob needs to sell in order to earn $200.
Answer:
100+x=200
Step-by-step explanation:
5-10m
WHATS THIS ANSWER?.
.
.
..
.
.
Answer:
-5 is the answer
Step-by-step explanation:
What is the value of the expression below?
8 *divide* 2 + 6x5
Answer:
34
Step-by-step explanation:
8/2 = 4
6 times 5 = 30
30 + 4 = 34
Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals
Answer:
y+1 = 3/4(x-1)Step-by-step explanation:
Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.
The point slope form of the equation is generally expressed as;
y -y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Get the slope first;
m = y2-y1/x2-x1
m = 2-(-1)/5-1
m = 3/4
Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation
y - (-1) = 3/4 (x-1)
y+1 = 3/4(x-1)
Hence the required equation is y+1 = 3/4(x-1)
7 divided by c expression
Answer:
7/c
Step-by-step explanation:
7 divide by c is the same as 7/c
PLEASE HELP FAST
The midpoint of AB is M(-4, 0). If the coordinates of A are (-6, 6), what are the coordinates of B?
Answer:
The coordinates of B are: (a, b)=(-2, -6)
Step-by-step explanation:
Let (a, b) be the coordinates of the point 'B'.
As
The midpoint of AB is M(-4, 0)
The coordinates of A are (-6, 6)
The midpoint (x,y) of line joining points (x₁, x₂) and (y₁, y₂)
[tex]x=\frac{x_1+x_2}{2},\:y=\frac{y_1+y_2}{2}[/tex]
-4 = (-6+a)/2 and 0 = (6+b)/2
-8=-6+a
-8+6=a
a=-2
0=(6+b)/2
0=6+b
b=-6
Therefore, the coordinates of B are: (a, b)=(-2, -6)
In the equation y = 2π^x, 2 is the ______ and π is the ______.
Answer:
pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.
Step-by-step explanation:
What’s the answer for 65°
15x + 10
Answer:
7
Step-by-step explanation:
65° + 15x + 10 = 180° (co-interior angles are equal)
15x + 75° = 180°
15x = 180° - 75°
15x = 105°
x = 105/15
x = 7
Match the function below with its corresponding graph or value
Answer:
Step-by-step explanation:
c 11). f(x) = - 5x ; f(4) = - 5(4) = - 20
e 12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11
b 13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15
a 14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1
f 15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down