Hello!
[tex]\large\boxed{x = 17}[/tex]
[tex]\sqrt{x -1} + 5 = 9[/tex]
Begin by subtracting 5 from both sides:
[tex]\sqrt{x -1} = 9 - 5\\\\\sqrt{x -1} = 4[/tex]
Square both sides to get rid of the radical:
[tex]x - 1 = 16[/tex]
Add 1 to both sides to completely isolate for x:
[tex]x = 17[/tex]
Please help it’s so important
Given:
In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].
[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
To prove:
[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Proof:
In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.
In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],
Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex] [Given]
Leg : [tex]\overline{CD}=\overline{CD}[/tex] [Common]
If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.
[tex]\Delta ACD\cong \Delta BCD[/tex] [HL postulate]
[tex]\overline{AD}\cong \overline{BD}[/tex] [CPCTC]
[tex]\overline{AD}=\overline{BD}[/tex]
It means, point D is the midpoint of [tex]\overline{AB}[/tex].
So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Hence proved.
How is the circumference of a circle related to its diameter
write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33
Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
[tex]a_n=8n+1[/tex]Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
Determining the common difference
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 9, d = 8 in the equation
[tex]\:a_n=9+8n-8[/tex]
[tex]a_n=8n+1[/tex]
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
[tex]a_n=8n+1[/tex]what is the slope of this line
Answer:
Step-by-step explanation: Do rise and run
can someone please help me.
Answer:
Step-by-step explanation:
1. isosceles
2. right scalene
3. obtuse scalene
4. equilateral
5. right isosceles
6. acute scalene
7. equilateral
8. isosceles
50 POINTS!!!43
what is 43 7/8% of $2.35?
Round your answer to the nearest cent
Answer:
$1.03
Step-by-step explanation:
7/8 = 0.875
then
43 7/8 = 43.875%
43.875/100 = 0.43875
2.35 * 0,43875 = 1.031
Round to the neares cent:
1.03
Step-by-step explanation:
[tex]43 \frac{7}{8} \% \: of \: 2.35 \\ \frac{351}{8} \% \: of \: 2.35 \\ \frac{351}{8 \times 100} \times 2.35 \\ \frac{824.85}{800} = \boxed{\$1.0310625}[/tex]
$ 1.0310625 is the right answer.Ramona went out with her 3 sisters, they spent $58 plus
9% tax on their meal. They also left a 15% tip. If they divided
up the bill evenly, how much did each of them spend?
Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?
Solution:[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]
[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]
[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]
[tex] = \frac{58 + 13.92}{3} [/tex]
[tex] = \frac{71.92}{3} [/tex]
[tex] = 23.97[/tex]
Answer:Each of them did spend $23.97
#CarryOnLearning
#AnswerForTrees
#BrainlyBookSmart
Solve the following formula for the specified variable. B=1/4m(r+k) for r
Answer: r=4b/m-k
Step-by-step explanation: I think
The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
Given the expression,
B=1/4m(r+k)
4B = m(r + k)
r + k = 4B/m
r = 4(B/m) - k
Hence "The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k".
For more about the equation,
brainly.com/question/10413253
#SPJ2
hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·
Answer:
I can't read the words the picture is to grainy
Answer:
10% would be 6
Step-by-step explanation:
First you want to find the 100 percent amount to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10 is 6
I need help on this with solutions please
Answer:
See answers below:
1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDEUse the diagram to answer the question.
16 is a factor of 24.
O A. True
O B. False
True or False. The higher the interest rate, the larger the balance will be after a determined amount of time (than with a lower interest rate).
Answer:
True
Step-by-step explanation:
Principle = Interest * Time
So if time doesn't change, You'll get more money when Interest is higher!
A chef is making pickles. he needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for $3.00 and allows customers to buy any amount of vinegar. decide whether each of the following ratios correctly represents the price of vinegar.
a. 4 gallons to $3.00
b. 1 gallon to $1.50
c. 30 gallons to $45.00
d. $2.00 to 30 gallons
e. $1.00 to 2/3 gallon
a is incorrect
b is correct
c is correct
d is incorrect
e is incorrect
Answer:
its b
Step-by-step explanation:
find the angle which y= equals to root 3 x -4 makes with yaxis
9514 1404 393
Answer:
30°
Step-by-step explanation:
The angle a line makes with the x-axis is arctan(slope). Here, that is ...
angle with x-axis = arctan(√3) = 60°
So, the angle made with the y-axis is the complement of this:
angle with y-axis = 90° -60° = 30°
Could you describe the expression 2(3+4) as a product of two factors?
the answer will be 10 just multiply the numbers
what is the slope of the line please help khan academy??
Answer: The answer is -3
Step-by-step explanation:
The graph goes down 3 and over 1, since slope is written rise/run, it would be -3/1, which reduces to -3
What is equivalent to 5(x + 12)
A x +12
B 2x - 60
C 5x + 60
D 2x - 60
Answer:
[tex]\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}[/tex]
Step-by-step explanation:
Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .
So,
[tex]\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}[/tex]
Hence option C is correct.What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]
[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]
262.44 = [tex]/EF/^{2}[/tex] + 184.96
[tex]/EF/^{2}[/tex] = 262.44 - 184.96
= 77.48
EF = [tex]\sqrt{77.48}[/tex]
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
3/4 divided by 1/2
Step by step explanation
Answer:
1.5
Step-by-step explanation:
When we divide two fractions, such as 3/4 ÷ 1/2, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
We also simplify the answers to fraction problems whenever possible.
Answer: 3/2 or 1 and 1/2
Step-by-step explanation: Remember that dividing by a fraction
is the same thing as multiplying by the reciprocal of the fraction.
The reciprocal of a fraction is just that fraction flipped.
So 3/4 ÷ 1/2 can be rewritten as 3/4 × 2/1.
Before multiplying however, notice that we
can cross-cancel the 2 and 4 to get 1 and 2.
Finally, multiplying across the numerators and
across the denominators, we have 3/2 or 1 and 1/2.
Question
8 - (-7) =
Plz help me!!!
Answer:
8-(-7)=
8(7)=
8+7=15
Step-by-step explanation:
prove me wrong
is this table linear or exponential what us the slope and what is the equation ?
Answer:
this table is exponential
Step-by-step explanation:
the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192
32,768/8,192 = 4
you can find a linear function by subtracting point 1 and point 2.
Answer questions 3,4, and 7.
You draw a card from a standard deck of cards three
times. What is the probability that you draw a spade,
then a red card, and then a face card (Jack, Queen, King)
with the following conditions. (Leave answers as fractions
in reduced form)
WITHOUT REPLACEMENT OF CARD
Answer:
yasssssss queen/king
Step-by-step explanation:
7 + 2 + 5 + 1 +5=?
hmmmmmmmmmmm
Answer:
20.. ... ...... .. ........
All you need the photo
The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is
(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2
… = ((-64 + 80 + 4) - 4) / 2
… = 16 / 2
… = 8
h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.
There is 7/8 of the pretzel bag left. If one serving is 1/4 of the bag. How many servings are left? Use the model to answer the question.
Answer:
5/8
Step-by-step explanation:
A local pizza shop has a membership program for frequent buyers. The membership
costs $15 per month and members get a discounted price of $2 per slice of pizza.
Mayerlin purchased a membership to this pizza shop. How much would Mayerlin
have to pay the pizza shop if she bought 11 slices of pizza this month? What would be
the monthly cost for x slices of pizza?
Answer:
cost of slices=2x
cost=monthly fee+cost of slices
15x+2x
Step-by-step explanation:
Simplify (65)2
O A. 670
O B. 67
C. 65
D. 63
Rita earns 44dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Kala earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Rita earns if she sells 35books.
Equation:
Amount Rita earns if she sells 35books: dollars