Use what you know about similarity and proportions to solve for x in the triangles below. Show all work.
4
10
5
x + 5
Answers
Answer:
Value of x = 7.5 unit
Length of side = 12.5 unit
Step-by-step explanation:
Given that both triangles are similar because all angles are equal;
So, the ratio of similar lines is in the same proportion.
[x + 5] / 5 = 10 / 4
4[x + 5] = 50
4x + 20 = 50
4x = 50 - 20
4x = 30
x = 30 / 4
x = 7.5
So,
Value of x = 7.5 unit
Length of side = x + 5
Length of side = 7.5 + 5
Length of side = 12.5 unit
Related Questions
A snow cone cup is 12cm tall and has a diameter or 8cm find the volume of the flavored ice that can be held inside the snow cone cup
Answers
Answer:
200.96 cm³
Step-by-step explanation:
Volume of a cone = πr²h/3
Pi, π = 3.14
Radius, r = diameter/2
= 8 cm/2
= 4 cm
Height, h = 12 cm
Volume of a cone = πr²h/3
= 3.14 * (4 cm)² * 12 cm / 3
= 3.14 * 16 cm² * 12 cm / 3
= 602.88 cm³/3
= 200.96 cm³
Volume of a cone = 200.96 cm³
Wesley makes spherical fish tanks with a diameter of 30 cm. A customer requests a smaller tank with half the volume of the tank that Wesley usually makes. What is the approximate diameter of the smaller tank?
Answers
Answer:
23.8
Step-by-step explanation:
v = 4/3 pi r cube
v =4/3 pi r (15) cube
v=4500 pi
v= 45000 pi /2=4/3pi r cube
1687.5=r cube
r =11.9
d =23.8
(please tell me if its wrong, if it is i will fix it!) :).
[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.
Answers
у = х2 – 3х – 10
у = -2х + 2
Answers
Answer:
Step-by-step explanation:
What is the perimeter of the garage if d=3
I’m marking branliest
Answers
Answer:
perimeter= 46
Step-by-step explanation:
(3(3)-2) + (3(3)-2) + (5(3)+1) + (5(3)+1)
7 + 7 + 16 + 16
= 46
LABEL THE TRIANGLE!! PLEASE HELP!!
Answers
Answer:
Determination of HYP,OPP,ADJ with respect to x.
Opposite side of right angle:Hypotenuse: AC
Opposite side of given angle: Opp:BC
remaining side of a triangle: Adjacent:AB.
How do the points of a figure move in a translation?
A. Same distance and different direction
В. Same distance and same direction
C. Different distance and different direction
D. Different distance and same direction
plz help!!!!!
Answers
Answer: В. Same distance and same direction
Step-by-step explanation:
A translation is a rigid transformation that maps each point of the original figure to a new position by the same distance and in the same direction.
It does not change the size or shape of the image.
Thus the correct statement relates to translation is "Same distance and same direction"
Hence, the correct option is B.
Which of the following is not a triangle similarity theorem
Answers
Answer:
D. SSA
Step-by-step explanation:
The SSA postulate does not exist because an angle and two sides does not guarantee that the two triangles are congruent. This is because if two triangles have two congruent sides but a non-included congruent side, this does not indicate that it is necessarily congruent.
ALRIGHT 66% WE NEED AT LEAST AN 80, WHAT WONDERFUL PERSON IS GONNA HELP!?
Answers
Answer:
I got 45
Step-by-step explanation:
so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.
Answer:
Formula of trapezoid:
B1(base 1) + B2(base 2) x Height(h) x 1/2
Area of Trapezoid:
10(base 1) + 6(base 2) = 16
16 x 5 = 80
80 x 1/2 = 40
The perimeter of a rectangular field is 344m . If the length of the field is 93m , what is its width?
Answers
Answer:
width is 79 m
Step-by-step explanation:
P = 2l + 2w
344 = 2(93) + 2w
344 = 186 + 2w
158 = 2w
w = 158/2
w = 79
Please help. Thank you....
Answers
Hopefully this helps
can some one help me plzz!! No links!!
Answers
(5. solve for x )
2/5 + x = 1
Answers
What is the volume of this prism? *
40 square units
20 cubic units
60 cubic units
80 square units
Answers
Answer:
60 cubic units
Step-by-step explanation:
4 x 5 x 3
12 18 , 9 6, 2 ?
help plz i cant find the relationship
Answers
Answer:
12,18 6 inbetween
Step-by-step explanation:
Find the distance between the two points in simplest radical form.
(-9,3) and (-3,-5)
Answers
Answer:
10
Step-by-step explanation:
Distance Formula: sqrt_/(x1-x2)^2 + (y1-y2)^2
sqrt_/(-9-(-3))^2 + (3-(-5))^2
sqrt_/(-6)^2 + (8)^2
sqrt_/36+64
sqrt_/100
Simplify and you get the number 10.
25+35j+55p
Answer factorised
Answers
Answer:
[tex]5(5+7j+11p)[/tex]
Step-by-step explanation:
Factor 5 out of 25 + 35j + 55p.
Answer:
[tex]5(5 + 7j + 11p)[/tex]
Step-by-step explanation:
[tex]25 + 35j + 55p \\ [/tex]
factor 5
5 × 5 = 25
5 × 7 = 35
5 × 11 = 55
[tex]\boxed{Answer:{\boxed{\green{5(5 + 7j + 11p)}}}}[/tex]
PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP
Answers
Answer:
1.105°
angle relationship=vertical angles
2.112°
angle relationship=interior angles
Step-by-step explanation:
1.180-75=105
2.180-68=112
#Carry on Learning
Find the range of the relation {(-8,1),(-3,-6),(-7,-5),(9,5),(-2,9)}
Answers
Explanation: the range is to subtract the maximum and the minimum. The maximum is 9,5 and the minimum is -2,9
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
Answers
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]x-2y=6[/tex]
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
[tex]x-2y-x=6-x\\-2y=-x+6[/tex]
Divide both sides by -2
[tex]y=\frac{1}{2} x-3[/tex]
Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2}x+b[/tex]
Plug in the given point (-6,-8)
[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]
Add 3 to both sides to isolate b
[tex]-8+3=-3+b+3\\-5=b[/tex]
Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:
[tex]y=\frac{1}{2}x-5[/tex]
I hope this helps!
Liz records her pet hamster's weight once every month for one year. How many observations does she make?
Answers
Answer: 12 observations
Step-by-step explanation:
1 year = 12 months
Number of observations = 1 per month
Therefore number of observations
for a year = 1 × 12
= 12 observations.
I suck at math help if you know and explain plz and thank you!
Answers
Answer:
13Y
Step-by-step explanation:
7+6 = 13
Answer:
Step-by-step explanation:
7y+6y
y(7+6)
y*13
13y
Or
since they are like term u simply add them
7y+6y
13y
find angle a given that a=18.2, angle b=62° and angle c=48°
Answers
Answer:
They only add up to 128.2, so if they are asking for the final angle to equal 180, then it would equal 51.8.
Hope that this helps!
Two wires, a = 90 ft apart, tether a balloon to the ground, as shown. How high is the balloon above the ground? (Round your ans
Answers
Answer:
180
Step-by-step explanation:
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85
Answers
Answer:
$29, that is the answer for this question
Please help 15 points!!!
Answers
Answer:
20 m²
Step-by-step explanation:
Figure 1: 4 x 4 = 16
Figure 2: 2 x 2 = 4
16 + 4 = 20
I don’t know the answer and I need help fast
Answers
Answer:
15? Hehehehehehehehehe....
Write the expressions for the following:
(i) 3 added with the product of x and y.
(ii) 4 subtracted from the product of -2 and m.
Answers
Answer:
i) (xy)+3 or 3+(xy)
ii) (-2×m)-4
Answer:
3+xy
-2m-4
Step-by-step explanation:
In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
Enter your answer in the box. Round to the nearest hundredth.
units
Answers
Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units
I need to find this angle please help i know it is adjacent but i need the angle.
Answers
Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Answer:
148°
Step-by-step explanation:
A flat angle measures 180°
180° - 32° = 148°