Answers
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.
The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,
[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].
Substitute,
[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]
Simplify,
[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]
Cross products,
[tex]5(x+2)=3(2x+2)\\[/tex]
Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,
[tex]5x+10=6x+6[/tex]
Inverse operations,
[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]
Related Questions
Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 200 miles per minute to travel to the moon? Round to the nearest hour.
Answers
Answer:
20 hours
Step-by-step explanation:
Mathematically we know that;
time = distance/ speed
distance = 239,000 miles
Time = 200 miles per minute
time = 239,000/200 = 1195 minutes
Let us convert this to hours by dividing by 60 (since 60 minutes equal an hour
So we have 1195/60 = 19.91
This is approximately 20 hours
Answer:
D
Step-by-step explanation:
20 hours
Plzzzz help asap thank you
Answers
2. The difference between -2x>=10 from -2x>10 is this:
-2x>=10
___ __
-2. -2
X<=-5 (I reversed the sign cause it’s dividing by a negative)
And then the second equation:
-2x>10
__. __
-2. -2
X<-5
The difference is that -2x>=10 has a product of x< =-5 meaning that X has to be less than OR equal to -5. On the other hand, -2x>10 results in x<-5 meaning that X has to be less than -5 but CANNOT be equal to -5 since there isn’t any underline the inequality. They are different as the one with the underline of the inequality can be -5 or below.. though the one without the underline of the inequality can only have numbers below -5
A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)
a
It is not a valid sample because it is only a short study.
b
It is a valid sample because money was offered to participants.
c
It is a valid sample because the first 10 people were selected to participate.
d
It is not a valid sample because it is not a random sample of the population.
Answers
Answer:
A
Step-by-step explanation:
The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!
Answer:
A) It is not a valid sample because it is only a short study.
HELP for these 2 !!! it’s asking if it’s a function or not
Answers
Which relation is a function?
Answers
To tell us a graph is a function. They must pass the vertical line test. So if u were to draw a line straight down from an x axis, the line should not intercept the relation on the graph twice. Therefore the answer is bottom right
Find the value of x (No explanation please :)
Answers
Answer:
48
Hope this helps!
What is the value of X enter your answer in the box
Answers
Answer:
x = 27
Step-by-step explanation:
The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )
10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides
20x - 50 = 14x + 112 ( subtract 14x from both sides )
6x - 50 = 112 ( add 50 to both sides )
6x = 162 ( divide both sides by 6 )
x = 27
can someone do my summer school work??
Answers
Answer:
no i can't do all of it, but i can help you do it
i just won't do it for you
What is the volume of this rectangular prism?
5 cm
3 cm
4 cm
A. 12 cm3
B. 94 cm3
C. 120 cm3
D. 60 cm3
Answers
Answer:
The volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Step-by-step explanation:
In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...
V = l × w × h
(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).
Now we just substitute the values into the formula and we get...
V = l × w × h
V = 4cm × 3cm × 5cm
V = 60[tex]cm^{3}[/tex]
Therefore, the volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Which is equivalent to 5.253 × 10-²?
Answers
Step-by-step explanation:
equivalent to 5.253 × 10-² is 0.05523
hope it is helpful to you
Work Out The Answers
Answers
Answer:
A1.) 87 + 63 =150
180 - 150 = 30
all the As is the same formula....
B1.) 180 - 123 = 57
57 + 82 = 139
180 - 131 = 41
Find the measure of the largest angle.
Answers
Answer:
4x-7
Step-by-step explanation:
Solve for x:
180 = 44 + 3x - 11 + 4x - 7
Combine like terms: 180 = 26 + 7x
Simplify: 154 = 7x
Simplify: 22 = x
Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81
Create inequality: 44 < 55 < 81
Hope this help!!!
Have a nice day!!!
transforma in metri:
a) 7 dam
b)350 dm
c) 57 000 mm
d) 0,5 km
e)750 cm
f) 5,7 dam
Answers
Answer:
a) 70 m
b) 35 m
c) 57 m
d) 500 m
e) 7.5 m
f) 57 m
Step-by-step explanation:
10 dm = 100 cm = 1 m.
1 dam = 10 m
1 km = 1000 m
100 cm = m
Correct ☑ ✔ Question :-
Transform in metre
a) 7 dam
b) 350 dm
c) 57000 mm
d) 0.5 km
e) 750 cm
f) 5.7 dam
Solution ✔a) 7 dam
1 dam = 10 m
so, 7 dam = 7 × 10 m = 70 m
b) 350 dm
10 dm = 1 m
so, 350 dm = 350/10 = 35 m
c) 57000 mm
1000 mm = 1 m
so, 57000mm = 57000/1000 = 57 m
d) 0.5 km
1 km = 1000 m
0.5 km = 1000 × 0.5 = 500 m
e) 750 cm
100 cm = 1 m
750 cm = 750/ 100 = 7.5 m
f) 5.7 dam
1 dam = 10 .
5.7 dam = 5.7 × 10 = 57 m
Which of the following best describes using a slope of -5/10 on a graph?
O Move up 5 and right 10.
O Move left 5 and up 10.
O Move down 5 and right 10.
O Move down 5 and left 10.
Answers
Answer:
move down five and move right ten
PLEASE HELP FAST, THANKS
Answers
Answer:
c=66 a=35 b=74
Step-by-step explanation:
According to the sum of the internal angles of the triangle is 180 °， The degree of each angle can be calculated
Subtract one half of a number from 10
Answers
Answer:
10-1/2n
hope this helps
have a good day :)
Step-by-step explanation:
help me pls pls pls pls pls pls
Answers
11 is -30
12 is 1
And I don’t know 9 sorry
En la figura se muestran dos bloques de m1= 0,8 Kg y m2= 0,2 kg si el bloque de masa m2 es arrastrado por el bloque masa m1 calcular la aceleracion del sistema y la aceleracion de la cuerda
Answers
Answer:
The acceleration in the system and in the rope is same as 5.88 m/s2.
Step-by-step explanation:
The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope
Let the acceleration is a and the tension in the string is T.
Use Newton's second law
[tex]m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2[/tex]
Please helpppppp 7th grade math
Answers
Answer:
A 1 cup
Step-by-step explanation:
Number of batches
24/6 = 4
Cups needed
1/4 * 4 = 1
The graph of the function f(x)= x²-3 is translated. The new function rule is f(x)= x²-1.
Which statement is true?
a. Every point on the graph is shifted down 1 unit.
b. Every point on the graph is shifted left 1 unit.
c. Every point on the graph is shifted right 2 units.
d. Every point on the graph is shifted up 2 units.
Answers
Answer:
Step-by-step explanation:
The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.
so it should be d
which expression is equal to: 3c (1/3 d-9) -7(c-1) + d(c + 4)?
A. 2cd + 8c + 4
B. 2cd + 34c + 4d + 7
C. 2cd - 34c + 4d + 7
D. 2cd - 7c - 4
Please include steps!
Answers
Answer:
c
Step-by-step explanation:
pls help me ???????????????????
Answers
Answer:
Hi♀️
Step-by-step explanation:
ΔMAN≅ΔNED
ΔRED≅ΔRGD
ΔLAN≅ΔLEI
ΔRKI≅ΔIYC
Hope it helps you!
Which expressions can be used to find the volume of the prism?
Answers
Answer:
I'm not seeing the options clearly so I'll answer the entire question then perhaps you can get your answer from that
Step-by-step explanation:
Formula for finding volume of rectangular prism =
Area or rectangle x Height
(L x B) x H
[tex] = (8 \times 3) \times 5 \\ = (24) \times 5 \\ = 120 {cm}^{3} [/tex]
I hope it helped?
Evaluate 4-2 f when f= 1.
Answers
╭═══════ღ❦ღ══╮
[tex]\boxed{ \sf{Answer}}[/tex]
⏩ Substitute the value of 'f' in the equation.
[tex]4 - 2f \\ = 4 - 2(1) \\ = 4 - 2 \\ = 2[/tex]
⏩ The answer will be 2.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
╰══ღ❦ღ═══════╯
Answer:
2
Step-by-step explanation:
If you multiply 2 by 1, you get 2. Then subtract 2 from 4 to get 2.
Hope that this helps!
Identify the lines that are perpendicular: Line 1: y=4 Line 2: y=1/5x-5 Line 3:y=8 Line 4:y+5=-5(x+1)
Answers
No stealing points!!!!!
Answers
Answer:
8.74x10^5
Step-by-step explanation:
I think this is it..hope it helps
8.8*10^5 - 6000 = 874000 =8.74 x 10^5 in scientific notation.
A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?
Answers
Answer:
2 hours
Step-by-step explanation:
Y=25x+30
80=25x+30
50=25x
2=x
What is the volume of a hemisphere with a radius of 4.3cm rounded to the nearest tenth of a cubic centimeter
Answers
Answer:
166.59 cm³ (approx.)
Step-by-step explanation:
Ayuda es urgente porfavor
Answers
… hope this helps
Three golf balls are stored in a square prism container with a height of 6 inches and a base edge of 2
inches. The diameter of a golf ball is 1.68 inches.
Find the amount of space within the square prism not taken up by the golf balls.
6 in
2 in
2 in
O 21.5 in
O 7.4 in
O 16.6 in
O 31.4 in
Answers
Answer:
16.6 in
Step-by-step explanation:
Amount of space left = volume of prism - volume of 3 golf balls
volume of prism = base area x height
base area = area of a square = length² = 2² = 4
volume = 4 x 6 = 24
Volume of a sphere = 4/3 x pi x r^3
r = 1.68/2 = 0.84
4/3 x 3.14 x 0.84^3 = 2.48
volume of 3 balls = 2.48 x 3 =