9514 1404 393
Answer:
x = 12
Step-by-step explanation:
Sides of similar figures are proportional, so ...
AB/FE = BC/EC
x/6 = 10/5
x = 6·(10/5) . . . multiply by 6
x = 12
Proving triangle similarity given QR PT and QPR STR prove PQR TSR
The triangles are right triangles, then we can apply Pytagoras´ theorem.
Solution is:
The triangles are similar
From the attached picture, and from parameterization concepts
RS = μ × RQ 0 < μ < 1
From Δ PRQ sinα = RQ/PR PQ = h₁ ( hypothenuse in Δ PRQ)
From Δ RST sinα = RS/ST ST = h₂ ( hypothenuse in Δ RST)
Then RQ/h₁ = RS/h₂
or RQ × h₂ = RS × h₁ ⇒ h₂ = (RS/RQ) × h₁ ⇒ h₂ = μ × h₁
Then both hypothenuse are proportional, it follows both triangles are similar
Related Link: https://brainly.com/question/20502441
The cost of a daily rental car is as follows: The initial fee is $69.99 for the car, and it costs $0.30 per mile. If John initially pays $200.00 before taxes and does not want to exceed that amount, how many miles can he drive?
x ≥ 433 miles
x = 450 miles
x ≥ 450 miles
x ≤ 433 miles
x [tex]\geq[/tex] 433
explanation:
let m equal miles
0.30m + 69.99 = 200
-69.99 -69.99
0.30m = 130. 01
130.01 / 0.30 = 433. 36...
but we're gonna round it to 433
so 433 miles
majorly confused about this and how to solve.
Answer:
The answer is 59.5
2. Which is the correct set up for the quadratic formula to solve the equation below: *
(2 Points)
= 2x2 + 10x + 8
8(x)
O
x =
-10 + 102 -4(2)(8)
2(2)
x =
-10 /10--4(2)(8)
2.
O x=
10 / 102 -4(2)(8)
2(2)
x =
-10 +102 +4(2)(8)
2(2)
-10 +102 +4(2)(8) vsvshbdnndbsbbhdhhd
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
please help
Answer:
x≤2 or x≥-6
Step-by-step explanation:
Isolate the variables on both equations
3x-4≤2
3x≤6
x≤2
2x+11≥-1
2x≥-12
x≥-6
what is the volume of the rectangular prism?
Answer:
3[tex]\frac{3}{4}[/tex] cm³Step-by-step explanation:
Can someone help me with this ???
plz someone help ASAP! thanks
Answer:
B
Step-by-step explanation:
Because at least means not less than 50 or equal to 50
Since he wrote 18 pages then you have to add.
Work out
2/5
of 60
Pls work this out. It’s urgent!
please help me i will brainliest i swear
Answer:
B
Step-by-step explanation:
In 3y+1, the 3 is the coefficient
find the measure of the missing angles
Answer:
b=80
c=80
Step-by-step explanation:
the angle opposite to the 100 degree angle is congruent to it
same goes for b and c
so far we have 2 angles that measure 100 degrees 100+100=200
the sum of the 4 angles is 360
360-200=160
160/2=80=b=c
HELP IT NOT FORM IT FOR MY LITTLE SIS IM TO LAZY PLEASE HELP!!!!
1. 1/2 x 2/3
2.1/2 x 2/3 x3/4
3. 1/5 x 1/2 x 7/8
4. 1/8 x 4/7
5. 2/3 x 1/6
6. 2/5 x 1/4
7. 7/54 x 9/49
caculate
1. [tex](2/3)x^{2}[/tex])
2. [tex]1 1/2x^{2}[/tex]
Select all equations that have graphs with the same y-intercept.
y = 3x - 8
y = 3x - 9
y = 3x + 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8
The equations that have graphs with the same y-intercept are:
y = 3x - 8y = 5x - 8y = 2x - 8y = (1/3)x - 8To determine which equations have graphs with the same y-intercept, we need to look for equations that have the same constant term when written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
The y-intercept is the value of y when x is equal to 0. In other words, it is the point where the graph intersects the y-axis.
Let's compare the equations and their constant terms:
y = 3x - 8 (Constant term: -8)
y = 3x - 9 (Constant term: -9)
y = 3x + 8 (Constant term: 8)
y = 5x - 8 (Constant term: -8)
y = 2x - 8 (Constant term: -8)
y = (1/3)x - 8 (Constant term: -8)
From the comparison, we can see that the equations y = 3x - 8, y = 5x - 8, y = 2x - 8, and y = (1/3)x - 8 all have the same constant term of -8. This means that their graphs will have the same y-intercept, which is -8.
Therefore, the equations that have graphs with the same y-intercept are:
y = 3x - 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8
Learn more about intercept here:
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GIVING BRAINLY AND THANKS find the value of x show your work
Amory ate
1/4
of a box of cereal. Blaine
ate 2/9
of the same box. What fraction of
the box of cereal did they eat together?
Answer:
they ate 17/36 of the box together
Step-by-step explanation:
Kimberly and Emily went to lunch at
their favorite restaurant. Kimberly has a
$5 off coupon to use for her purchase of
$30. Emily has a 10% off coupon to use
for her purchase of $25. What is the
difference between the total amount
Kimberly and Emily will pay individually?
What is an equation that represents a non proportional relationship???
I really need help(I know nothing about proportional and non proportional equations)
Solve.
-5 3/4 - 3 1/2
Answer:
The answer is
[tex] - 9 \frac{1}{4} [/tex]
1. Use the points in the diagram to name the figure.
C
D
is is 8 IA
DC
Answer:
its the last one maybe
DC
Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands
Answer:
Tens
Step-by-step explanation:
The 5 in 51 should be above the nine
Answer:
B.
Step-by-step explanation:
2,495 ÷ 48 is 51.97
the tens is the largest place value so thats where you would start
Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please
Answer:
12.6
Step-by-step explanation:
Given
with reference angle 57°
perpendicular (p) = y
hypotenuse (h) = 15
Now
sin 57° = p / h
0.84 = y / 15
y = 0.84 * 15
y = 12.6
Hope it will help :)
Can someone plz help:(
Answer:
60 degress
Step-by-step explanation:
1. Find out the angel of each side. 360 divded by 6 = 60
2. Get the answer of 60
The circumference of a circle is 9.37cm.
Find the length of the diameter.
Give your answer rounded to 2 DP
Answer:
9.37 divide by two = 4.685
4.685 in 2DP = 4.68
Step-by-step explanation:
i hoped this helps.
Answer:
2.98 :)
Step-by-step explanation:
the circumference is when you do pi times diameter.
do 9.37 divided by 3.14(pi) to work out the diameter.
9.37/3.14=2.984
rounded its 2.98
f(x)=5(X-2)^2+4
Find vertex, Direction of parabola, and axis of symmetry
i need help please right answers only
Answer:
-3/2
Step-by-step explanation:
Count up three times and to the left twice. Let me know if you need help with other questions!
7/2x + 1/2x = 10 + 9/2x
Answer:
x=-1/20
Step-by-step explanation:
7/2x+1/2x=10+9/2x
We move all terms to the left:
7/2x+1/2x-(10+9/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/2x+1/2x-(9/2x+10)=0
We get rid of parentheses
7/2x+1/2x-9/2x-10=0
We multiply all the terms by the denominator
-10*2x+7+1-9=0
We add all the numbers together, and all the variables
-10*2x-1=0
Wy multiply elements
-20x-1=0
We move all terms containing x to the left, all other terms to the right
-20x=1
x=1/-20
x=-1/20
Answer:
[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]
HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
Process of elimination shows that the most reasonable answer is A.
what is the answer to..
Negative 10 is no less than 2 times a number plus 14
Can somebody who knows how to do this plz help answer all the questions correctly thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
17. $30
18. $2.24
19. 5
20. $2.2815 or rounded to $2.28
I think I’m right
Answer:
17. 30
18. 14
19. 5 hours
20. 15
Step-by-step explanation:
answers for both boxes please
Answer:
(-3, -6)
Step-by-step explanation:
y=2x
-3x-15=y
Use Substitution Method
-3x-15=2x
+3x +3x
-15=5x
/5 /5
-3=x
y=2x
y=2(-3)
y=-6
Answer:
(-3, -6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Solving systems using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x
-3x - 15 = y
Step 2: Solve for x
Substitute in y: 2x = -3x - 15Isolate x terms: 5x = -15Isolate x: x = -3Step 3: Solve for y
Define equation: y = 2xSubstitute in x: y = 2(-3)Multiply: y = -6