5
The diagram shows two right-angled triangles. OAB
and OCD
Work out the length of BD. I
7 cm
4 cm
14 cm
Answers
Given:
The diagram shows two right-angled triangles OAB and OCD.
To find:
The length of BD.
Solution:
Let the length of BD is x.
In triangle OAB and OCD,
[tex]\angle AOB\cong \angle COD[/tex] (Common angle)
[tex]\angle ABO\cong \angle CDO[/tex] (Right angle)
[tex]\Delta OAB\sim OCD[/tex] (By AA property of similarity)
We know that, the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{AB}{CD}=\dfrac{OB}{OD}[/tex]
[tex]\dfrac{4}{7}=\dfrac{14}{14+x}[/tex]
[tex]4(14+x)=14(7)[/tex]
[tex]56+4x=98[/tex]
Subtracting 56 from both sides, we get
[tex]4x=98-56[/tex]
[tex]4x=42[/tex]
[tex]x=\dfrac{42}{4}[/tex]
[tex]x=10.5[/tex]
Therefore, the length of BD is 10.5 cm.
Related Questions
what is the value of x?
Answers
Answer:
7
Step-by-step explanation:
8x−6y=1 what is the slope of the line
Answers
Answer:
m = 4/3
Step-by-step explanation:
Two ways to do this problem.
Method 1 change the Method 2 If a linear equation is in
equation to slope-intercept form standard form, ax =by = c then
8x - 6y = 1 the slope = -a/b
-6y = -8x + 1 In 8x - 6y = 1 a = 8 and b = -6
y = (-8x)/-6 +1/-6 So m = - (8)/-6 = 8/6 = 4/3
m = -8/-6= 4/3
Note: Method 2 only works if the equation is in standard form.
¿Qué peso transporta una tractomula que lleva 134 bultos de trigo de 62 kilos cada uno, 28 sacos de café de 50 kilos cada uno y 37 bultos de arroz de 75 kilos cada uno?
Answers
Answer:
the total weight is 12,483 kilos
Step-by-step explanation:
The computation of the weight is shown below:
Wheat = 134 × 62 = 8308
Coffee = 28 × 50 = 1400
Rice 37 × 75 = 2775
Total weight is
= 8308 + 1400 + 2775
= 12,483 kilos
Hence, the total weight is 12,483 kilos
I'm having trouble with the second to last step in the fifth question.
1
1 1
x 1 1 (This is a right triangle)
1 69° 1
1-------------1
11
1. first identify a trigonometric ratio that will make it possible to find the value of x.
Answer = X is opposite to the angle 69° and 11 is adjacent to the angle 69°
2. To find the unknown value, which trigonometric function should be used?
Answer = Tangent
3. Use the tangent ratio for TAN 69°.
Answer = TAN 69° = [tex]\frac{x}{11}[/tex]
4. Multiply both sides by 11.
TAN 69° = [tex]\frac{x}{11}[/tex]
Answer = 11 · TAN 69° = x
5. Simplify
11 · TAN 69° = x
11(2.6051) ≈ x
(Blank) ≈ x
Answer = 28.7 ≈ x < -- (Rounded to the nearest tenth)
11(2.6051) ≈ x This is the part I'm having trouble with. I don't understand how to get the decimal in the parenthesis. I've tried dividing, multiplying, multiplying and then dividing. I just can't get the correct answer. I think I'm suppose to use a geometry calculator and input TAN then multiply(or divide I don't know), but I don't have one right now so I need to know if there's any way I could get the same answer with a regular calculator.
Answers
Answer:
Step-by-step explanation:
let me asnswer it on paper hold on
here the question guys
Answers
Answer:
105
Step-by-step explanation:
sorry if wrong
1. Which of the following is NOT a true statement?
a) A quadrilateral with 2 pairs of parallel sides is a parallelogram.
b) Every rhombus has 2 pairs of parallel sides.
c) Every quadrilateral with 4 right angles is both a rectangle & rhombus.
d) Every rectangle is also a parallelogram
Answers
Answer:B
Step-by-step explanation: not cause you have trapeziums not c cause you have squares not d cause it just aint
Answer:They are all true statements
Step-by-step explanation:
make be brainly uuhuhuhuhuuhuhh
Answers
Answer:
uhhhhhhhhh okay then I guess
David's family drove 330 miles in 6 hours to reach the Grand Canyon before nightfall. If they drove at a constant rate, how many miles per hour was David's family driving?
Answers
they would have to be driving at a steady 55 miles per hour to make it there in 6 hours
explanation:
you would divide 330 by 6 to get how many hours per hour
330 / 6 = 55
hope this helps :)
m=−(4+m)+2
solve for m
Answers
Answer:
Step-by-step explanation:
Distribute the negative sign
m = -4 - m +2
Add m to both sides
2m = -2
Divide by 2 on both sides
m = -1
Answer: m= -1
Step-by-step explanation:
A fish tank holds 36 liters of water . Right now , it is only 75% full. How many liters of water are in the tank?
Answers
Answer:
27 Liters
Step-by-step explanation:
Do 36 (original number) divide by 4 to find how much 1/4 is. Then take that answer (9) and multiply it by 3 to get 3/4 because 75%=3/4.
15+2.5(2x+4)
PLease help!
Answers
Answer:
Step-by-step explanation:
5x+25
HELP ME PLEASE I AM STRESSED WITH THIS WORK PLEASE HELP!!!! BRAINLIST!! THANK YOU SO MUCH FOR WHOEVER HELP ME WITH THIS
Answers
Answer:
YesYesNoNoYesYesNoYesNoNoYesNoYesNoYesYesNoYesYesNoStep-by-step explanation:
A function does not have any repeating domains (x-coordinates).
Hope it helps!
Angela has $35.41 in her savings account. She really
wants to buy some songs and an app.
Angela spent $35.41 on everything. How much
money does Angela now have in her savings
account?
Answers
Answer:
0 because she spent it all
Step-by-step explanation:
35.41-35.41= 0
and why are songs $35.41
I need help with this plz j
Answers
Answer :nun of the above
help with these two math questions thank u :)
Answers
Answer:
1.) - (4, 4) 2.) - (3,5) Hope this helps!!
HELPPPP PLZZZZZZZZZ
WILL MARK BRAINLIEST
Answers
Answer: it is D
Step-by-step explanation:
What is the value of the expression 3n + 7 when n= 8?
O 24
O 27
0 31
O 35
Answers
Answer:
3(8) + 7 = 31
Answer:31
Step-by-step explanation: first if n=8 you need to do 8*3 or 3*8 +7 you get 31
if 3 people want to share a 50 pound sack of nice equally by weight
, how many pounds of rice will each person get?
A.15 1/3
B. 15 2/3
C. 16 1/3
D. 16 2/3
Answers
Answer:
D . 16 2/3
Step-by-step explanation:
50 will be divided by 3
50/3 = 16 2/3
Please help what is the variable X?
Answers
Answer:
x= -7
Step-by-step explanation:
-3x -5 = 16
+5 +5
-3x = 21
divide by negative three on both sides to get your answer
Please help: State if the three numbers can be the measures of the sides of a triangle.
Answers
Simplify 5a + 6 – 2a + 4
Answers
Answer:
3a+10
Step-by-step explanation:
3a+6+4
3a=10
5a-2a=3a+6+4
3a=10
Can someone help me with this math problem please
Answers
Step-by-step explanation:
As the triangles are similar so,
3/9 = 4/12 = 4.5/k
Taking 3/9 and 4.5/k Then
[tex] \frac{3}{9} = \frac{4.5}{k} \\ \: cross \: multiply \\ k \: = \frac{9 \times 4.5}{3} \\ k \: = 13.5 \\hope \: it \: will \: help[/tex]
similar polygons are ________________ the same shape
always
sometimes
never
Answers
Answer:
Always
Step-by-step explanation:
Similar figures are always the same shape, but not always the same size. If they have they same size, then they are also congruent.
What is the solution to this equation?
X-7 = 18
O A. x= 11
O B. X= 35
O c. x = 25
O D. x = 9
Answers
Answer:
The answer is c or x=25
Step-by-step explanation:
+7 +7
X=25
The answer is C x=25
Find the value of each variable. Write answers in simplest radical form.
Answers
Answer:
The value of n is 6.
Step-by-step explanation:
Given that these 2 triangles form a square so we can assume that all sides are same. Then, we have to apply Pythagoras Theorem, a² + b² = c², where a, b are sides and c is hypotenuse :
n² + n² = (6√2)²
2n² = 6² × (√2)²
2n² = 72
n² = 72 ÷ 2
n² = 36
n = √36
n = 6
HELPPPPPPPPPPPP PLEASEEEEWESSSSEE AND EXPLAIN HOW TO DO THIS BECAUSE I FORGOT HOW SO I CAN REALLY USE A HELP ON HOW TO DO THESE TYPE OF MATH EQUATION SO PLEASE HELP
Answers
Answer:
5.7
Step-by-step explanation:
They give you the value of a. Take that value and plug it into the equation.
2a + 3.1
a = 1.3
2(1.3) + 3.1
2.6 + 3.1
5.7
Hope this helped!
Find the 13th term of the geometric sequence 3, -15, 75, ...
Answers
the terms of geometric sequence are 3, -15, 75
given,
1st term (a) = 3
second term (t2)=-15
common ratio (r) = t2/t1
=-15/3
=-5
then
t13= ar^n-1
=3×(-5)^13-1
=3×244140625
=3×244140625
=732421875.
The [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.
A geometric sequence is given ; 3 , -15 , 75....
We have to find the [tex]13^{th}[/tex] term of the geometric sequence.
What is the formula for calculation of nth term of geometric Sequence ?
The formula for calculation of nth term of geometric progression is [tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex] where r is the common ratio of geometric sequence.
Given geometric sequence is 3 , -15 , 75....
and
Common ratio is r.
i.e., r = -15 ÷ 3 = -5
∵ [tex]n^{th}[/tex] term of a geometric sequence is given by ;
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex]
where [tex]a_{1}[/tex] is the first term.
So,
[tex]13^{th}[/tex] term of the geometric sequence will be ;
[tex]a_{13}[/tex] = 3 × [tex](-5)^{12}[/tex]
[tex]a_{13}[/tex] = - 732421875
Thus , the [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.
To learn more about geometric series here:
brainly.com/question/3924955
#SPJ2
WILL GIVE BRAINLIESTT!!
Find the local linear approximation of f(x) = [tex]e^{3x}[/tex] at x = 1.
y = [tex]e^3[/tex]
y = [tex]e^{3(x-1)}[/tex]
y = 3[tex]e^{3}[/tex](x − 1)
y = 3[tex]e^3[/tex]x − 2[tex]e^3[/tex]
Answers
Answer:
[tex] y = {e}^{3}[/tex]
Step-by-step explanation:
[tex]f(x) = {e}^{3x} \\ \\ plug \: x = 1 \\ \\ f(1) = {e}^{3 \times 1} \\ \\ f(1) = {e}^{3} \\ \\ plug \: f(1) = y \\ \\ y = {e}^{3}[/tex]
Mrs. Jones attended a Southern Living home party. She purchased a vase which cost $34.99. The shipping charge was $3.00, and 8.25% sales tax was paid on the subtotal which included the shipping charge. How much did she pay for the vase?
Answers
Answer:
$41.12
Step-by-step explanation:
34.99 + 3 = 37.99
37.99 increase 8.25% =
37.99 × (1 + 8.25%) = 37.99 × (1 + 0.0825) = 41.124175
34.99 * 8.25/100 = $2.886675
round that number to $2.89
then add $37.99 and $2.89
the answer would be 40.88
Can someone tell me why is nobody helping me with my question I be POSTING 4 TIMES PLEASE YALL Help me please
Answers
Answer:
x = 4
y = 5
Step-by-step explanation:
4x = x + 12
^(subtract x from both sides)^
3x = 12
^(divide both sides by 3)^
x = 4
3y = 15
(divide both sides by 3)
y = 5