8. If APTS – APQR, find the value of x.
5x + 13
T
36
Q
P
30
6x-2
-
S
R
Answer:
x = 7
Step-by-step explanation:
you can create a proportion:
PT / ST = PQ / RQ
36 / 30 = (5x+13) / (6x-2)
cross-multiply:
36(6x-2) = 30(5x+13)
distribute:
216x - 72 = 150x + 390
216x = 150x + 462
66x = 462
x = 7
The value of x for the given triangle sides is x = 7.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.
Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.
PT / ST = PQ / RQ
36 / 30 = (5x+13) / (6x-2)
Cross-multiply the equations,
36(6x-2) = 30(5x+13)
Distribute:
216x - 72 = 150x + 390
216x = 150x + 462
66x = 462
x = 7
To know more about geometry follow
https://brainly.com/question/28832881
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20 Points Please Help
Which table matches the equation y= 8x + 20
Answer:
The first table
Step-by-step explanation:
x y
7 76
10 100
13 124
16 148
HOPE THIS HELPS :)
yesterday, john had $15. In 7 days, He would have 23.
Answer:
He earn approximately $2.14 everyday
Step-by-step explanation:
hope this helps :3
i have a very hard question,
what is 1+2
please help asap
Answer:
The answer is 3.
Step-by-step explanation:
I need help on this question
3n + 2 = 17
Answer:
The value of n is 5.
Step-by-step explanation:
Concept :
Here, we will use the below following steps to find a solution using the transposition method:
Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.Solution :
By using the transposition method. we get,
[tex]{\dashrightarrow{\tt{3n + 2 = 17}}}[/tex]
[tex]{\dashrightarrow{\tt{3n= 17 - 2}}}[/tex]
[tex]{\dashrightarrow{\tt{3n= 15}}}[/tex]
[tex]{\dashrightarrow{\tt{n= 15 \div 3}}}[/tex]
[tex]{\dashrightarrow{\tt{n= \dfrac{15}{3}}}}[/tex]
[tex]{\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}[/tex]
[tex]{\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}[/tex]
Hence, the value of n is 5.
[tex]\rule{300}{1.5}[/tex]
Solve : 3n + 2 = 17
Answer:-n = 5
Explanation:-=> 3n + 2 = 17
=> 3n = 17-2
=> 3n = 15
=> n = 15/3
=> n = 5
A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)
Answer:
each ornament was about 5 cents
Step-by-step explanation:
Hope this helps
May I get Braineist pls
What is the name of this?
Answer:
Circumference of a circle
Please help me with this math problem!! NO LINKS PLEASE!! :)
Answer:
105°.
Step-by-step explanation:
1) to calculate m(∠ABC): m(∠ABC)=180-m(∠BAC)-m(∠(ACB)=180-90-65=25°;
2) note, m(∠ABC)=m∠(ABD)=25°, then it is possible
3) to calculate m(∠BAD): m(∠BAD)=180-m(∠ABD)-m(∠ADB)=180-25-50=105°.
solve y=f(x) for x. Then find the input when the output is -3. f(x)=3x^3
x=___
The input is____when the output is-3
[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]
[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]
Plsssss help me this needs to be done ASAPPP
Answer:
6 and 3
Step-by-step explanation:
Mutiply and will get your aswer correct
A. (4,1)
B.(-2,8)
C.(8,-2)
D.(-1,4)
Answer:
i think B is answer
Step-by-step explanation:
0.5x+9 = -3x+2
x = -2
y = -3x+2
y = -3(-2) +2
y = 6+2
y = 8
(x,y) = (-2,8)
Help, please!
fdlksjflksdjklfjalk
Answer:
m/_a = 8 , m/_b= 3, m/_c = 4
Ann and Betty shared a sum of money in the ratio 2:3 respectively. Ann Received $120. What was Betty’s share?
Answer:
A:B::2:3
123:x
set up as fractions:
[tex]\frac{2}{3}[/tex] [tex]\frac{120}{x}[/tex] 120*3=360
360/2=180
Betty Received $180
is y = 2/3x - 7 proportional or not?
Answer: No, it is not a direct proportion equation
Explanation:
Direct proportions are always in the form [tex]y = kx[/tex] where k is any nonzero real number. So for example, we could have the equation [tex]y = 9x[/tex]. The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.
Something like [tex]y = \frac{2}{3}x-7[/tex] has a y intercept of -7 and it doesn't fit the form [tex]y = kx[/tex], so it's not a direct proportion equation.
Can someone help me with this
giving out brainliest
Answer:
C
Step-by-step explanation:
Step 1: plot your 2 known points, (-2,3) and (1,0)
Step 2: after that, you should see that your y value should be a - and your x a +. You can eliminate A and B.
Step 3: check to see if C is a correct answer, (4,-3)
C is the answer, hope that helps
Can someone help me please
Answer:i dont know 1
2. variable
3. terms
Step-by-step explanation:
(2w2+4w)÷(w–2) divide
the answer is 4
Will give brainly,5 stars,and thank if it CORRECT
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
4 5/6 x 3/10
simplify the answer completely and change it to a mix number
Step-by-step explanation:
4+5/6*3/10
29/6*3/10
=87/60
=29/20
=1 9/20
We have : [tex]4\frac{5}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{20}[/tex] = [tex]1\frac{9}{20}[/tex]
ANSWER: [tex]1\frac{9}{20}[/tex]
Ok done. Thank to me :>
What is the volume of the prism?
cubic units
Which number sentence is not true?
101 < 100
101 = 0
|-100[< 101
1-100] > [0]
The first one & the second one
Answer:
Both first and second one are not true.
Step-by-step explanation:
The first one translates to "101 is less than 100". This statement is false.
Second one translates to " 101 is equal to 0". Obviously, this isn't true.
Hope this helps! Brainliest would be appreciated!!
A set of 3 consecutive integers has a sum of 15. Which integers are they?
The answer is 4+5+6=15.Hope that helps. :)
Answer:
Step-by-step explanation:
Let the first number be x,
The second number (since it is consecutive) will be = x + 1
The third number (since it is right after the second) = (x+1) + 1 = x + 2
x + x + 1 + x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3 = 4
If the first number = 4,
Second number will be = 5 [(x+1) = 4+1]
Third number will be = 6 [(x+2) = 4 + 2]
if f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))
Answer:
18x² - 24x + 9
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f3x - 2)
= 2(3x - 2)²+ 1 ← expand factor using FOIL
= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2
= 18x² - 24x + 8 + 1
= 18x² - 24x + 9
How to to it with step by step explanation
[tex]15^{5} \div 15 ^{7} [/tex]
Whenever the bases are same, powers are different and there is a division sign between them, The powers are subtracted.[tex]a ^{m} \div a ^{n} = a ^{m - n} [/tex][tex]15 ^{ 5 - 7} [/tex]
[tex]15 ^{ - 2} [/tex]
[tex] \tt \: alternate \: from : \\ \frac{1}{15 ^{2} } [/tex]
original price: $2.00
discount: 31%
tax: 3%
Answer:
is this a questions or no?
Step-by-step explanation:
If the radius of a circle is ‘r’ units, which of the following is its circumference? *
Answer:
2πrExplanation:
The area of the unit circle is π (in general πr2 where r is the radius).
if sarah works 40 hours a week and earns 660 dollars per payroll. how much does she make an hour
Answer:16.50
Step-by-step explanation: hope it helps
Answer:
16.50
Step-by-step explanation:
These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two blue marbles if the first one is placed back in
Answer:
2/9
Step-by-step explanation:
Can i get some help :
The store owner is adding cost, so we will use addition. The answers should be as follows:
[] c + $3.49 = $9.84
[] c = $6.35 <- subtract $3.49 from both sides of the equation
[] Solution of answer represents the old cost of the toy.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather