Answer:
x = 4
Step-by-step explanation:
Start by setting the two expressions equal to each other, since they're the same height.
6 + 15x = 6x + 42
Subtract 6x from both sides
6 + 9x = 42
Subtract 6 from both sides
9x = 36
Divide both sides by 9
x = 4
An equation is formed of two equal expressions. The value of x is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the height of Ashton and James are the same height. Also, Ashton's height is represented by (6 + 15x) and James's height is represented by (6x + 42). Therefore, we can write,
Ashton's height = James' height
6 + 15x = 6x + 42
6 + 15x = 6x + 42
15x - 6x = 42 - 6
9x = 36
x = 36/9
x = 4
Hence, the value of x is 4.
Learn more about Equation here:
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The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.
9514 1404 393
Answer:
3/4vertical: 18 in; horizontal: 24 inno changeStep-by-step explanation:
1. The ratio is ...
(6 in)/(8 in) = 6/8 = 3/4
__
2. The scaled dimensions are ...
6 in × 3 = 18 in (vertical side)
8 in × 3 = 24 in (horizontal side)
__
3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.
I will mark as brainliest if you can answer. :)
not enough information
Solve for x and find the value of the unknown angle measures.
1. x=
2. m=
3. n=
4. p=
Answer:
x=20°
m=50°
n=68°
p=50°
Step-by-step explanation:
Here,we know that,
i)n=68°[being vertically opposite angle]
ii)p+62°+n=180°[being straight angle]
or, p+62°+68°=180°
or, p+130°=180°
or, p=180°-130°
thus, p=50°
iii) m=p[being vertically opposite angle]
thus, m=50°
iv)(2+3x)°=62°[being vertically opposite angle]
or, 3x°=62°-2°
or, 3x°=60°
or, x=60°÷3°
thus, x=20°
Hence, the value of x=20°, m=50°, n=68° and p=50°.
Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4
Answer:
10y + 4
Step-by-step explanation:
-9 + 8y + 12 - (-2y) + 1
-9 + 8y + 12 + 2y + 1
8y + 2y - 9 + 12 + 1
10y + 4
Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
Answer:
[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]
Y varies directly with x and y=8 when x=-5
Answer:
Y=K×X...... equation
When,Y=8 and X=-5
To find the constant (K)
we substitute for K in the equation
8=K×-5
8=-5K divide both sides by -5
8÷-5=-5K÷-5
K=-1.6
find the area of point b??
Answer:
78.5 in^2
or
506.7 cm^2
Step-by-step explanation:
r = 5 in = 12.7 cm
Area of circle
[tex] = \pi \times {r}^{2} [/tex]
HELPPPPPP!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
no need to panic !
it is actually totally easy.
we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.
VT is almost a straight line (then that angle would be 180 degrees). but only almost ...
anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.
so
(14x - 11) + (12x + 7) = 178
14x - 11 + 12x + 7 = 178
26x - 4 = 178
26x = 182
x = 7
Help pls i’ll also rate brainliest
Answer:b
Step-by-step explanation:
¾ + ½ =
Plz help me
I neeeeed help
answer
1.25Step-by-step explanation:
[tex] \frac{3}{4} + \frac{1}{2} [/tex]
[tex] \frac{3 \times 1 + 1 \times 2}{4} [/tex]
[tex] \frac{3 + 2}{4} [/tex]
[tex] \frac{5}{4} [/tex]
[tex]1.25[/tex]
I hope this will help you..please mark my answer as BRAINLIEST....union and intersection of sets
Answer:
The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.
Answer:
UnionThe union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.
IntersectionIntersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.
19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these
Answer:
B
Step-by-step explanation:
Let the two numbers be a and b.
The product of the two is 120 and their sum of their squares is 289. In other words:
[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]
And we want to find the sum of the two numbers.
We can use the perfect square trinomial. Recall that:
[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]
From the first equation, multiply by two:
[tex]2ab = 240[/tex]
Add the two equations together:
[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]
Simplify and rewrite:
[tex]a^2+2ab+b^2 = 529[/tex]
Factor using the perfect square trinomial pattern:
[tex](a+b)^2 = 529[/tex]
And take the square root of both sides:
[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]
Hence, the sum of the two numbers is 23 or -23.
In conclusion, our answer is B.
Help please! Find the converse
Answer:
Step-by-step explanation:
The converse of ~q => ~p is ~p => ~q.
A student's cost for last semester at her community college was $2800. She spent $308 of that on books. What percent of last semester's college costs was spent on
books?
% of last semester's college costs was spent on books.
Find ef if e (1,-2) and f (7,6)
help me do this please!
Answer:
m<ABD = 37°
m<DBC = 58°
Step-by-step explanation:
m<ABD + m<DBC = m<ABC
2x + 23 + 9x — 5 = 95
11x + 18 = 95
-18 -18
--------------------
11x = 77
/11 /11
---------------------
x = 7
Now, plug this into the equation for m<ABD and m<DBC to find their values.
m<ABD = 2x + 23
= 2(7) + 23
= 14 + 23
= 37
m<DBC = 9x — 5
= 9(7) — 5
= 63 – 5
= 58
Now, check to see if our values are right or not.
2x + 23 + 9x — 5 = 95
2(7) + 23 + 9(7) — 5 = 95
14 + 23 + 63 – 5 = 95
100 – 5 = 95
95 = 95 CORRECT
I need help with this homework
2x^2+ 7x+ 5= 0
Answer:
x = -1 or/and -5/2
Step-by-step explanation:
:)
Hi, can you help me with these?
It's really hard :(
Here's the Solution:
Direct Variation
Y = kx
Given:
$34=k(4)
k = 34/4
k = 17/2
Y = kx
Y = (17/2) (10)
Y = 85Hope this helps :)
Someone please help me on this!
Which statements are true about the
transformation (x,y) → (x - 1 y +4)?
A The transformation is a non-rigid
motion.
B The transformation slides the figure
to the left 1 unit and up 4 units.
C The transformation is a rigid motion.
D The transformation slides the figure to
the right 1 unit and down 4 units.
Answer:
b and c
Step-by-step explanation:
b is obvious since you can just plug In a point to solve
but c is a bit trickier a rigid motion is a transformation that doesn't change size or shape and we are just moving points which have same size so c is true.
Solve for x in 5x²-42-1=0, using factorization method
Answer:
x=2.932576,−2.932576
The radius of a circle is 4.6 millimeters. Find the diameter.
Hi :)
Radius is half the diameter
4.6 mm (2) = 9.2 mm
The diameter of the circle is 9.2 mm.
Estimate and solve:
67+35
89-54
Answer:
32
35
Step-by-step explanation:
hope this helps :D
Answer:
Estimate and solve:
67+35
89−54
Add 67 and 35.
102
Subtract 54 from 89.
35
List all of the solutions.
67+35=102
89−54=35
Step-by-step explanation:
Determine whether the given value is a statistic or a parameter. A study was conducted of all 1575 workers in a certain state.
Answer:
Step-by-step explanation:
(2x + 5) + (x + 4) =
Answer:
3x + 9
Step-by-step explanation:
(2x + 5) + (x + 4)
Distribute the + to all numbers/variables
2x + 5 + x + 4
Combine like terms:
2x + 5 + x + 4
3x + 5 + 4
3x + 9
Hope this helped.
I am a prime number. I am two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.Answer: 17
Step-by-step explanation:
1+7=8
The ten digit is (1) 6 less than the one digit (7)
A total of 621 tickets were sold for the school play day for the school play they were either adult tickets or student tickets it there were 71 more student to get sold then adult tickets how many adult tickets were sold
Answer:
275 student tickets and 346 adult tickets
Step-by-step explanation:
621-71=550
550÷2=275+71346
Find the lower quartile for the data. {66, 70, 75, 72, 67, 68, 65, 69, 68}
A. 66.5
B. 69
C. 69.5
D. 70
Answer:
66.5 is the answer thanks
How to make 10000 by only using number 8, No matter what the operation is
BRAINLIEST will be marked
Here is the answer
[tex]\\ \sf\longmapsto 8888+888+88+88+8+8+8+8+8+8[/tex]
Similar Question .
Write 1000 using 8
Answer:-
888+88+8+8+8
Answer:
One of the options comes from this:
10000/8 = 1250It means 10000 contains 1250 of 8's:
1250 = 1111 + 139 = 1111 + 111 + 28 = 1111 + 111 + 11 + 11 + 6The 8's to make 10000 are:
10000 = 8888 + 888 + 88 + 88 + 8 + 8 + 8 + 8 + 8 + 8FIRST -CORRECT- ANSWER WILL GET BRAINLIEST!!
Find u.
A. 2√2
B. 2
C. 4
D. √2
Answer:
u=2 root 2
Step-by-step explanation:
All 45 45 90 degree triangles follow the same pattern
Which compound inequality could this graph be the solution
Answer:
A. 3x+14≥ 2 or 1-x ≥-5
Step-by-step explanation:
the solutions should be x≥ -4 or x ≤6
and the right answer is :
3x + 14≥ 2
3x ≥ -12
x≥ -4
1-x ≥ -5
-x ≥ -6
x ≤ 6
A. 3x+14≥ 2 or 1-x ≥-5