The figure shows a rhombus ABCD. The diagonal DB is produced to E such that BC = BE and CDE = 46°.
Find
(I) BAD
(ii) BCE
Answers
Answer:
(i) 88°
(ii) 23°
Step-by-step explanation:
See the picture below.
The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.
ABCD is a rhombus, so all sides are congruent.
Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.
Related Questions
17. Alexis has a painting presently valued at $2000. An art dealer told her the painting would
appreciate at a rate of 8% each year. In how many years will the painting be worth $5000?
Round your answer to the nearest tenth.
Show work please
Answers
Answer:
18.8 years
Step-by-step explanation:
8% of $2000 = $160
To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.
Jimmy's height is 156 cm, Kessie's height is 168 cm, while Lya's height is 132 cm. Define:
Answers
Answer:
132<156<168 or 12×1, 12×2 ...
Step-by-step explanation:
Jimmy's 24cm taller than Lya, and Kessie's 12cm taller than Jimmy
can you tell me the answer please
Answers
Answer:
11
Step-by-step explanation:
140-129=11
Answer:
140 - 129
Step-by-step explanation:
If Alyanna has more cookies than Alyssa, and we want to find how much more, we need to subtract Alyssa's amount from Alyanna's amount
Therefore, Alyanna has 11 more cookies than Alyssa.
What is the lcm of 12 and 18
Answers
Explanation: 36 is the smallest number divisible by both 12 and 18.
12x3 and 18x2 = 36
Answer:
36
Step-by-step explanation:
Hi there!
We want to find the least common multiple (LCM) of 12 and 18
One easy way to do that is to split up the numbers into one of their factor pairs, find the factor pairs between the numbers we just split apart, and then keep on going, until we only get prime numbers (numbers that only have 1 and itself as multiples)
Let's start with 12.
There are multiple ways to multiply to get to 12, but we can use 3 and 4 for example
12= 3*4
4 is 2 * 2
Substituting 2*2 for 4, 12 is equal to 2*2*3
Now for 18.
18 can also be split up multiple ways; one way would be 9 and 2
18 = 2*9
9 is 3*3
Substitute 3*3 for 9.
18=2*3*3
Now look at 2*2*3; 2 shows up twice in that string of numbers
In 2*3*3, 3 shows up twice in that string of numbers
We multiply the numbers based off of the highest number of times that they occur
In other words, we will multiply 2 * 2 and 3 * 3 together
2 * 2 * 3 * 3 = 4 * 9 = 36
The LCM of 12 and 18 is 36
Hope this helps!
See more on finding the LCM here:
https://brainly.com/question/20380514
A box is 20 inches long and 21 inches high. What is the diagonal length of the box?
Answers
Answer:
29 inches
Step-by-step explanation:
Answer:
Use Pythagoras' Theorem:
c²=a²+b²
c²=20²+21²
c²=841
c=√841
c=29 inches
Step-by-step explanation:
A lookout tower above a canyon is 4 meters above ground level. The depth of the canyon is 16 meters below ground level. If 0 represents ground level, which number sentence correctly compares their distances above and below ground level?
A) 4<-16
B)4>-16
C)-4<16
D)-4>16
Answers
Answer:
B
Step-by-step explanation:
4 meters above. So 4 will not be negative, this eliminates C and D.
16 is definitely negative. So that eliminates C and D again.
< the number on the left of this is smaller than the right
> the number of the right of this is bigger than the left
4 is larger than -16
4>-16
B
2) It takes me 25 minutes to drive to school in the morning and 20 minutes to drive home after
school if those times stay the same every day, how much time do I spend driving to and from school
in a week?
Answers
Answer:
225 minutes if school is 5 days a week.
Step-by-step explanation:
20+25=45. 45x5=225
( SHOW UR WORK) Find the value of 8.41 + 42.320
Answers
Answer:
See below.
Step-by-step explanation:
42.32
+8.41
50.73
-hope it helps
Answer:
50.73
Step-by-step explanation:
8.41
42.32
+_________
50.73
Hope this helps! Have a great day!!
Simplify (3x2 − 2) (2x2 − 6x 3). 5x2 − 6x 1 5x2 − 6x − 1 x2 − 6x 1 5x2 − 8x 3.
Answers
Answer:
-566
Alternative form:
-5.66 x [tex]10^{2}[/tex]
71.5*(-9.2)
A. –657.8
B. –65.78
C. 65.78
D. 657.8
Answers
Answer:
(A)
Step-by-step explanation:
you can multiply normally like 71.5 × -9.2 =-657.8
What fraction of an hour is four minutes
Answers
Answer
1hr/15 mins=60 mins/15 mins=4 minutes.
Step-by-step explanation:
Is (6,3) a solution to the equation "a"? Yes or No.
Yes
No
Answers
Explanation: When plotted on the graph, equation A's line meets the point. This means it is a possible solution to equation A.
Answer:
Yes
Step-by-step explanation:
Find the missing lengths:
LN=
MN=
Answers
Answer:
LN=4.33
MN=5
Step-by-step explanation:
sine 60
helpp! im 2 lazy to do it
Answers
Answer:
28. add them all together
Answer:
the answer is 28
Step-by-step explanation:
you have good taste in music
Help me please it’s an easy question I guess
Answers
Answer:
The simplified fraction is
[tex] \frac{2}{9} [/tex]
Step-by-step explanation:
Finding the HCF can help a great deal, so in this case the HCF between 16 and 72 is 8.
16/8 = 2
72/8= 9
Therefore the answer is
[tex] \frac{2}{9} [/tex]
Help pleaseeee helpp!!
Answers
Answer:
D
Step-by-step explanation:
i did the math
verify that the segment lengths form a triangle. is the triangle acute, right, or obtuse?
Answers
bc Answer: They form an obtuse triangle
Step-by-step explanation:
the length of one side must be greater than the difference and less than the sum of the lengths of the other two sides. In this case the third side must be greater than 3 and less than 31. 3(squareroot) 55 is 22.25 so it fits.
Pls solve this I can do it after school I can do it after school , I’m going to cry again
Answers
Answer:
s = 71
j = 23
71 = 3j+2
71 - 2 = 3j
39 = 3j
j = 23
Answer:
j=23
s=71
Step-by-step explanation:
Here we have two parallel lines lines( UB and DK).
And we have another line, called a transversal that intersects( crosses) both parallel line. Doing so creates the following angles,
Vertical Angles, Angles are equal in measure Alternate Exterior Angles, Angles are equalAlternate Interior Angles. Angles are equalConsective Angles. Angles are equalLinear Pair Angles. Angles add up to 180So now we look at the graph
First, we know that 3j+2 and s are vertical angles since they are across of each other. So they are equal to each other so let look at another angle first.
3j+s and 71 are Alternate Interior Angles since they lie inside the transversal and are across from each other.
Since they are Alternate Interior Angles, they are equal.
So we set them equal to each other.
[tex]3j + 2 = 71[/tex]
Subtract 2 from both sides
[tex]3j = 69[/tex]
Divide both sides by 3
[tex]j = 23[/tex]
The value of j is 23.
Know to find S, we know s is equal to 3j+2, which when we plug in 23 for j, we get 71.
So s=71
amelia mom baked 48 cookies after amelia and her friends walk in the kitchen there are 18 cookies left
Answers
Please Help! ASAP. Will give Brainliest
Answers
Answer:
3 Not too sure though
Step-by-step explanation:
don't input my answer, i'm not too sure!
can you simplify 4(-5+100)
Answers
Do 4(-5) = -20
Then 4(100) = 400
Add -20+400=380
(You have to subtract because of the negative number but the answer is positive because the bigger number in the equation is positive)
(3x-1)•(5x-3)
find area and perimeter in feet
Answers
Answer:
21 is the answers to your question
Write an equation for the line parallel to the given line that contains C.
c(3,8); y= 5/8x + 8
Answers
Answer:
x= - 64/5
Step-by-step explanation:
1- Substitute y = 0
2- Multiply both sides
3- Move the variable to the left
4- Divide both sides
PLEASE HELP!!! If the height of the lighthouse is 53 meters and the angle of elevation is 47°, which of the following may be used to find the distance, z, between the boat and the base of the lighthouse?
Answers
Answer:
tan(47)=53/z
Step-by-step explanation:
Using trig ratio tan(x)=O/A
there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)
Therefore, tan(47)=53/z
[tex]\\ \tt\hookrightarrow tan47=\dfrac{H}{B}[/tex]
[tex]\\ \tt\hookrightarrow tan47=\dfrac{53}{B}[/tex]
[tex]\\ \tt\hookrightarrow B=\dfrac{53}{tan47}[/tex]
Find a polynomial that represents the surface area of a sphere with a radius of (3x – 5) cm.
The surface area of a sphere is 4π^2. Leave your answer in terms of it.
Answers
Answer:
π(36x^2 - 120x + 100)
Step-by-step explanation:
4π(3x - 5)^2 = 4π[(3x)^2 - 2*3x*5 + 5^2] = 4π(9x^2 - 30x + 25)
= π(36x^2 - 120x + 100)
PLEASE HELP HURRY WILL MARK THE BRAINLIEST ONLY ANSWER IF U KNOW 25 POINTS!!!what is the value expression 2⁴ plus 3²
Answers
Answer:
25
Step-by-step explanation:
2x2x2x2=16
3x3=9
16 + 9= 25
NEED HELP!! Urgently!
Answers
Add the two sepratw ones and that the answer
19. A bird flies at 12 miles/hour. How long does he take to fly 36 miles?
Answers
Answer:
He flew for 3 hours
Step-by-step explanation:
in this question we can use the formula :
[tex] \boxed{t = \frac{s}{v}} [/tex]
t is time
s is distance
v is Speed
_________________
We know that :
v = 12 miles/hour
s = 36 miles
So :
[tex] t = \frac{s}{v} = \frac{36}{12} [/tex]
[tex] \boxed{t = 3 \: hours}[/tex]
______________________
Find the volume of this cylinder if it has a diameter of 4mm and a height of
14mm.
Answers
Answer:
V≈1.76×10-7m³
Step-by-step explanation:
Can someone please help me with all of these. And thank you.
Answers
Answer/Step-by-step explanation:
1. x = -3.6
Add 1 on both sides.
18x = 23x + 18
Subtract 23x on both sides.
Combine like terms.
Divide the answer.
-5x = 18
x = -3.6
2. x = 11/3 (2.66666...)
Add 5 on both sides.
6x = 3x + 11
Subtract 3x on both sides.
Combine like terms.
Divide the answer.
3x = 11
x = 11/3
3. x = 23
Subtract 12 on both sides.
5x = 6x - 23
Subtract 6x on both sides.
Combine like terms.
Divide the answer.
-x = -23
x=23
(that's all.)