The two triangles are similar. What is the value of x? Enter your answer in the box. x = Two right triangles, one smaller than the other, back to back, so that their right angles form a straight angle. The two acute angles along the straight angle are congruent to each other. The overlapping part of the legs is labeled 12. The part of the overlapping side that extends above the smaller triangle is labeled 3. The leg of the smaller triangle that is a ray of the straight angle is labeled 3 x plus 1. The leg of the larger angle that is a ray of the straight angle is labeled 4 x.
Answers
Answer:
The two triangles are similar.
What is the value of x?
Enter your answer in the box.
x=
The value of x is 7 units.
What is Similarity of Triangles?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
Given :
AD = 6 units , BD = 8 units, m∠ABC = m∠DBE = 90° and
∠DEB ≅ ∠ACB
Now, AB = AD + BD
= 8 + 6 = 14 units
Now, In ΔABC and ΔDBE,
∠DBE = ∠ABC ( Each of 90° )
∠DEB = ∠ACB ( given )
So, By using AA postulate of similarity of triangles , ΔABC ~ ΔDBE
Now, proportion of the corresponding sides will be equal.
AD/ DB= BC/ BE
14/8 = 3x/ 2x-2
4x= 28
x= 7
Hence, the value of x is 7 units.
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Related Questions
Can you guys help me pleaseeeee!
Answers
Answer: A) True
Step-by-step explanation:
GF and KJ are marked with one dash indicating the are congruent. Same for FH and JL but this time it's marked with 2 dashes. Angles F and J are congruent because they are both right angles. So, we have a side congruent an angle congruent and a side congruent. We can use SAS to say they are congruent.
(Brainliest?)
there are 105 teachers in a school 19 more are femal than male how what is the proprtion of female teachers
Answers
Explanation: 105 - 19 = 86 (Find out how much the college would have without the more)
86 ÷ 2 = 43 (Find out male and female teachers in a seperate way without more)
43 + 19 = 62 (Female teachers)
The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There are 7 doctors and 27 nurses at Happy Hill Hospital. The ratio of doctors to nurses is, therefore, 7 7:_.
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find the slope of the line represented by the data below
slope=
Answers
QUËSTIONS:- find the slope of the line represented by the data
ANSWER:-
[tex]SLOPE = \frac{y2 -y1}{x2 - x1} \\ SLOPE = \frac{3 - 9}{4 - 2} [/tex]
[tex]SLOPE = \frac{ - 6}{2} \\ SLOPE = - 3 \: \: ans[/tex]
Answer:
-3
Step-by-step explanation:
Slope(m)=-6/2
=-3/1
=-3
Hope this helps!
Saint Xavier school is the national swimming
champion. There are many students. The meet
results for the students is shown below. What is the
highest % of silver medal winners from the two
groups?
- 600 boys won a silver medal out of the 1500 boys.
- 750 girls won a silver medal out of the 1400 girls.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
The Group Of Girls.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the boys' percentage...}}\\\\\rightarrow \frac{600}{1500}\\\\\rightarrow 0.4\\\\\rightarrow 0.4 * 100\\\\\rightarrow \boxed{40\%}\\------------\\\boxed{\text{Calculating the girls' percentage...}}\\\\\rightarrow\frac{750}{1400}\\\\\rightarrow 0.53571428571...\\\\\rightarrow 0.53571428571... * 100\\\\\rightarrow \boxed{53.57\%}\\------------\\\\53.57\% > 40\%[/tex]
⸻⸻⸻⸻
The girls should have a higher percentage from the two.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the surface area of a water tower that is 40 feet tall and 20 feet across the base.
______ square feet
Answers
Answer:
the surface area is 3140 square feet
Step-by-step explanation:
The computation of the surface area is given below:
Given that
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Surface area =
= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 square feet
hence, the surface area is 3140 square feet
The surface area is 3140 feet².
What is Surface Area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that:
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Now, Surface area will be,
=2πr²+ 2πrh
= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 feet²
hence, the surface area is 3140 feet².
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A hot air balloon is released and it rises at a speed of 15 mph. A
weather pattern introduces a wind headed west at 20 mph. The
hot air balloon is now redirected. What is the new direction of the
hot air balloon?
Answers
Answer:
The direction is 37 degree north of west.
Step-by-step explanation:
velocity of balloon, v = 15 mph upwards
velocity of wind, v' = 20 mph west wards
The direction is given by
[tex]tan\theta = \frac{15}{20}\\\\\theta = 37^o north of west[/tex]
Which of the following is the line of symmetry for the figure shown below?
B.
A. Line A
O
B. Line B
C. Line C
O D. This figure is not symmetrical.
Answers
Answer:
Line A
Step-by-step explanation:
A line of symmetry is a line that divides a shape into exactly two equal halves.
A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.
From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.
2/3 of a class are girls.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?
Answers
b) 1:3
2/3 of the class are girls, so 2:3. That leaves 1/3 of the class as boys, so 1:3 ratio.
Solve the system of equations:
(1) x - y = 3
(2) 7x - y = -3
Answers
Answer:
x= 70
and y = 67 then
-70-67 =-3
Answer:
x=-1 y=-4
Step-by-step explanation:
answer is in the photo above
Can someone help me with this?
Answers
Answer:
19.53
Step-by-step explanation:
First let's find the new price of the backpack:
40% of 29.99 is
29.99 * 0.40 = 11.99
So the new price of the backpack is
29.99 - 11.99 = 18.00
Now let's find the price with tax
8.5% of 18.00 is
18.00 * 0.085 = 1.53
So the cost of the backpack is
18.00 + 1.53 = $19.53
Answer:
$19.52
Step-by-step explanation:
29.99 x 0.60 = 17.994, (60% of 29.99)
1.085 x 17.994 = 19.52349 = $19.52 (2dp) , - (Add 8.5% Tax)
An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.
Answers
Answer:
Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.
so 96/120
48/60
24/30
12/15
so the answer is 12/15
Which region represents the solution to the given system of inequalities?
{y < -1/2x }
[y ≥ 2x+3 }
A
B
C
D
Answers
The region D represents the solution of the given system of inequalities.
What is the system of linear inequalities?
A system of linear inequalities is a collection of linear inequalities in the same variables.
How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or y< " line.Shade above the line for a " greater then" and below for the "less than".According to the given equation.
We have system of inequalities.
[tex]y < \frac{-1}{2}x[/tex]
and [tex]y \geq 2x + 3[/tex]
Also, the graph of the inequalities.
Since, y is less than [tex]-\frac{1}{2} x[/tex] shade below the line.
And, for the second inequality.
y is greater than and equal to 2x + 3 therefore, shade the above the line.
So, the common region D we get after the shading.
Hence, region D represents the solution of the given system of inequalities.
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Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...
Answers
Step-by-step explanation:
the answer is in the image above
Answer:
a₅₀₀ = 3517
Step-by-step explanation:
a₁ represents the first term and d the common difference
Here a₁ = 24 and d = 31 - 24 = 7 , then
a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517
Sam's Sweet Shoppe sells candy in bags of 30 pounds and bags of 50 pounds. Last week, Richard bought 300 pounds of candy for a birthday party from Sam's Sweet Shoppe. If at least one 30 pound bag of candy and at least one 50 pound bag of candy were purchased, what is the number of the 30 pound bags purchased?
Answers
Answer:
5
Step-by-step explanation:
30 x 5=150
then you buy 3, 50 pound bags: 3 x 50= 150
150+150=300
Answer:
5
Step-by-step explanation:
five is the only number(less then 10) that you can multiply by 30 to get a multiple of five
30x5=150
then you buy 3, 50 pound bags: 3x50= 150
150+150=300
Jasmine used the number line to find the distance between 0 and 5. What was Jasmine’s error? Jasmine should have counted from 5 to 0. Jasmine started with the wrong integer. Jasmine gave a negative answer for distance. Jasmine ended with the wrong integer.
Answers
Answer:
The answer is "Option C".
Step-by-step explanation:
In this question, the distance value is -5 that's why option c is correct.
Answer:
C. Jasmine gave a negative answer for distance.
Find the equation of the line passing
through the points (2, 4) and (3,2).
Answers
Answer:
y=-2x+8
Step-by-step explanation:
first is to find the slope
m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2
now using the line formula of y=m*x+b, put in one of the points and solve for b.
2= -2*3 + b
2= -6 + b
8 = b
so y= -2*x+8
asap plz give answer
Answers
Answer:
B) Rotation
Step-by-step explanation:
The arrows at the end of each line imply a line, not a line segment. Since the they both pass through the origin, they rotate about the origin, hence B) Rotation.
Answer:
A I'm about 89% certain that's a vertical translation
When x = 1 and y = –2, z =
Answers
Answer:
No solution is possible from the information provided
Step-by-step explanation:
Please help us help you by including enough information to answer your question.
Answer:
z = -10
Step-by-step explanation:
trust me
The function h(t) = -16t^2 + h, 0 gives the height (in feet) of a ball dropped from a height of h, 0 after t seconds. A ball is dropped from a height of 12 feet. After how many seconds does the ball hit the floor?
could someone explain how to solve the equation? I know it's h(t) = -16^2 + 12
Answers
Answer:
Step-by-step explanation
the answee
Linda is building steps for her porch. What is the volume of the first step?
Answer quick please!
Answers
Answer:
ok to do this we multiple 60 times 60 to get 3600
now we multiple this by 120
432000
now we divide this by 4
108000
so the volume of the first step is 108000 cm cubed
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°
Answers
Answer:
angle X + angle Y < 90°
Step-by-step explanation:
sum of angles of triangle is 180 ° ,
Answer:
because mZ > mX + mY
[tex] = > 18 0 - (mx + my) > mx + my \\ < = > 2(mx + my) < 180 \\ < = > mx + my < 90[/tex]
5x+y=1
10x-6=34
pleasee
Answers
Answer:
=>x=4
therefore y= -19
Answer:
x = 4, y = - 19
Step-by-step explanation:
Given the 2 equations
5x + y = 1 → (1)
10x - 6 = 34 → (2) , which can be solved as
10x = 40 ( divide both sides by 10 )
x = 4
Substitute x = 4 into (1) and solve for y
5(4) + y = 1
20 + y = 1 ( subtract 20 from both sides )
y = - 19
help plss i don't get it can yall plz help
Answers
Answer: 24, b
Step-by-step explanation:
So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.
Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.
So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.
Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.
Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.
simplify
x - ( - 6 x )
Answers
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
If a ⋆ b = ab² - a²b, then 2 ⋆ 3 = i don't kno the answer
Answers
Hello,
We know that :
a * b = ab² - a²b
We know that : 2 * 3 = 6 but we want to try this formula.
We have :
a = 2 and b = 3
So :
2 * 3
= 2 * 3² - 2² * 3
= 2 * 9 - 4 * 3
= 18 - 12
= 6
It works :)
Use the following to write and solve a proportion to find the values of X, Y and Z.
Answers
Answer:
x = 48-32 = 16
y = 32/16 × 10 = 20
z = 48/32 × 26 = 39
given f(x)=2/5(6-x)^2 what is the value of f(6)?
Answers
Answer:
0
Step-by-step explanation:
f(x) = 2/5(6 - x)²
f(6) = 2/5[6 - (6)]²
f(6) = 2/5(0)²
f(6) = 0
If the area of a rectangular prism is represented by the volume -5x^5 - 1 and the height is 5x + 5, what is the area of the base in terms of x?
Answers
Answer:
= -5[tex]x^{4}[/tex] - 1/5
0r
-5[tex]x^{4}[/tex] - 0.2
Step-by-step explanation:
Volume of a rectangular prism = area of base x height
-5[tex]x^{5}[/tex] - 1 = 5x + 5 x area of the base
to determine the area of the base, divide both sides of the equation by (5x + 5)
area of the base = (-5[tex]x^{5}[/tex] - 1) / (5x + 5)
= -5[tex]x^{4}[/tex] - 1/5
0r
-5[tex]x^{4}[/tex] - 0.2
Can anyone solve this for me pls
Answers
Answer: I'm pretty sure the answer is 78.90
Step-by-step explanation: