*
4. Find the value of x in the given parallelogram.
(2x+5)*
1159
Your answer
Answers
Answer:
x = 55
Step-by-step explanation:
Use the property of a parallelogram,
" Opposite interior angles of a parallelogram are equal in measure"
By this property, opposite angles given in the figure will be equal.
(2x + 5)° = 115°
2x = 115 - 5
2x = 110
x = [tex]\frac{110}{2}[/tex]
x = 55
Therefore, x = 55 will be the value.
Related Questions
I know the selected answer is correct but I'm not too sure how to get that answer.
Could someone please explain.
Answers
[tex]\tt{ Hey \: there , \: Mr.Panda \: ! } [/tex] ;)
♨[tex] \large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}: [/tex]
⤻ Before solving the given question , you should know the answer of these questions :
✺How do you find the hypotenuse , perpendicular and base when the angle ( [tex] \theta \: , \alpha \: ,\beta [/tex] ) is given ?
⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).
☄ [tex] \large{ \tt{REMEMBER}} : [/tex]
[tex] \bf{ \sin \theta = \frac{opposite}{hypotenuse} = \frac{perpendicular}{hypotenuse} }[/tex][tex]\bf{ \cos\theta = \frac{adjacent}{hypotenuse} = \frac{base}{hypotenuse} }[/tex][tex] \bf{ \tan \theta = \frac{opposite}{adjacent} = \frac{perpendicular}{base} }[/tex]In the above cases , [tex] \theta[/tex] is taken as the angle of reference.
♪ Our Q/A part ends up here! Let's start solving the question :
❈ [tex] \large{ \tt{GIVEN}} : [/tex]
Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16✧ [tex] \large{ \tt{TO \: FIND} : }[/tex]
Value of tan [tex] \theta[/tex]✎ [tex] \large{ \tt{SOLUTION}} : [/tex]
Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :
❃ [tex] \boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex] [ Pythagoras theorem ]
[tex] \large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
[tex] \large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = 324 - 256}}[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = 68}}[/tex]
[tex] \large{⇢ \sf{p = \sqrt{68}}} [/tex]
[tex] \large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}[/tex]
Okey, We found out the perpendicular i.e [tex] \tt{2 \sqrt{17}} [/tex] . Now , We know :
❊ [tex] \large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }[/tex]
[tex] \large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}} [/tex]
[tex] \large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}[/tex]
[tex] \large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}} [/tex]
⟿ [tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}} [/tex]
۵ Yay! We're done!
♕ [tex] \large\tt{RULE \: OF \:SUCCESS }: [/tex]
Never lose hope & keep on working ! ✔ツ Hope I helped!
☃ Have a wonderful day / evening! ☼
# StayInAndExplore ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
√(17)/8
Step-by-step explanation:
We are given with hypotenuse and base. We can have any ratio related to it, such as secant.
secA = hypotenuse/base
secA = 18/16 = 9/8
sec²A = 81/64
Using sec²A - 1 = tan²A
=> 81/64 - 1 = tan²A
=> 17/64 = tan²A
=> √(17)/8 = tanA
______________________
Using cosine of angle A.
cosA = base/hypotenuse
cos²A = (16/18) = (8/9)² = 64/81
sin²A = 1 - cos²A = 1 - 64/81 = 17/81
Hence,
tanA = √(tan²A) = √(sin²A/cos²A) = √((17/81)/(64/81)) = √(17)/8
This looks complex, either go with the 1st or one Or directly find the value of height using Pythagoras theorem,
18² = 16² + height²
√17 = height
tanA = height/base = √17/8
I really need help you’ll get 35 points if u get it right
Answers
Answer:
1/3
Step-by-step explanation:
Combine the xs
Answer:
[tex]\frac{1}{3} x + \frac{1}{2}[/tex]
Step-by-step explanation:
The following expression is equivalent to
[tex]\frac{1}{3} x + \frac{1}{2}[/tex]
Margie, Eric, and Connor helped their band stuff envelopes for a fundraiser. Margie has stuffed 96 out of 144 envelopes. Eric has stuffed 62% of his envelopes. Connor has stuffed ¾ of his envelopes. If each student started with the same amount, who has the most envelopes left to stuff?
A. Margie
B. Eric
C. Connor
Answers
A 35-year-old woman has 3 children. If you multiply the 3
children's ages, you get 36. If you add up the 3 children's ages, it's 13. Her oldest child played basketball for 3 years. How old are her 3 kids?
Answers
Answer:
Her oldest was 9, and the other 2 were 2
Is the following relation a function?
O Yes
O No
HELPPP!!!
Answers
Answer:
yes the following relation is a function
The absolute value of 5/4
A: 4/5
B: 5/4
C: -4/5
D: -5/4
Answers
Answer:
THE ANSWER IS OPTION ( B ) 5/4solve ,( √16 + √36 ). + 2^0
ASAP
Answers
Answer:
11
Step-by-step explanation:
√4² + √6² + 1
4 + 6 + 1
11..
Mark Runzun as brainliest as my id will get deleted soon
Add 8 and 7, and then multiply by 2
Answers
Answer:22
Step-by-step explanation:
It’s like saying 8+7x2 and it’s 22
Answer:
30
Step-by-step explanation:
(8 + 7) * 2
(15) * 2
30
Hope this helps!
BC is tanget to the circle centered at A with a radius of 3. What is the length of CD?
Answers
Answer:
The length of the radius of circle is 16.25 cm
Step-by-step explanation:
Answer:
The length of the radius of circle is 16.25 cm
Step-by-step explanation:
we know that
If CD is tangent to circle A at point D
then
the segment CD is perpendicular to the radius AD
and
ACD is a right triangle
so
Applying the Pythagorean Theorem
we have
substitute
solve for r
Marks mailbox has three more edges than vertices. What type of prism is Marks mailbox.
Answers
Answer:
njuvcjgxyrsdfygjhkl
Step-by-step explanation:
how do I do this? I'm confused.
Answers
Step-by-step explanation:
[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]
PLEASE HELP ME I NEED THE ANSWER I WILL MARK YOU AS BRAINLIEST
Answers
Answer:
15%
Step-by-step explanation:
There are 12 pieces of fruit in a bowl. Seven of the pieces are apples and two are peaches. What is the probability that a randomly selected piece of fruit is not an apple or peach? Express your answer as a percent rounded to the nearest whole percent.
10%
10%
17%
17%
25%
25%
83%
Answers
Answer:
25%
Step-by-step explanation:
7 apples + 2 peaches = 9
12-9=3
3/12 = 25%
There are 8 roses in a vase of 14 flowers. The rest are daisies.
(a) What is the ratio of roses to daisies?
(b) What is the ratio of all flowers in the vase to daisies?
Answers
Answer:
a) 4:3
b) 7:3
Step-by-step explanation:
No. of roses= 8
No. of daisies = 6
Total no. of flowers = 14
a) Ratio of roses to daisies = No. of roses/No. of daisies
8/6
= 4/3
= 4:3
b) Ratio of all flowers to daisies = No. of all flowers/ No. of daisies
14/6
= 7/3
= 7:3
jorge scored 4 out of 5 on a test. jane scored 8 out of 10 on a test. did Jorge and jane get equivalent scores
Answers
Please help! Will give branliest for correct answer !
God Bless uu!!
Answers
Answer:
Solution given:.
area of traingle EFG=1/2b×h=1/2×7×6=21cm²
area of rectangle ABCD=l×b=(20+9)×7=203cm²
area of rectangle BHIJ=l×b=9×11=99cm²
Total area =21+203+99=323cm² is a required answer
Top rectangle: 9x18= 162
Lower rectangle: 20x7=140
Triangle: 1/2bh = 1/2(6)(7) = 21
162+140+21 = 323 cm squared
I WILL CROWN YOU BRAINLYIST HELP
A truck delivers 14,000 pounds of gravel.
How many tons are in 14,000 pounds?
Answers
Answer:
7000
Step-by-step explanation:
Thus the truck delivers 7 tons of gravel.
What is a unit conversion?"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".
For the above situation,
A truck delivers 14,000 pounds of gravel.
We know that,
1 US ton = 2000 pounds
Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]
⇒ [tex]7 tons[/tex]
Hence we can conclude that the truck delivers 7 tons of gravel.
Learn more about unit conversions here
https://brainly.com/question/20950399
#SPJ2
Evaluate. Write your answer as a fraction in simplest form.
Answers
Answer:
6/21
Step-by-step explanation:
2/3 x 2/3 x 2/3
6/21
You have have a bag of marbles (3 purple, 5 green, and 4
yellow)
Write your probability in fraction form-no need to reduce
1a) What is the Plyellow marble)=
1b) What is the P(purple marble)=
1c) What is the Plyellow marble "and" purple marble)
1a) 4/12, 1b) 3/12, 1c) 12/12
1a) 4/100, 1b) 3/100, 1c) 12/100
1a) 4/12, 1b) 3/12, 1c) 12/144
1a) 4, 1b) 3, 1c) 12
Answers
Answer:
4/12 = yellow
3/12 = purple
12/144 = yellow and purple
Step-by-step explanation:
the first two are pretty self explanitory. The last one requires you to multiply the answers of the first two together. Make sure you multiply both the top and the bottom (don't use common denominator here)
Answer:
The answer to this is the 3rd choice which is 1a) 4/12, 1b) 3/12, 1c) 12/144.
Step-by-step explanation:
This is pretty simple. To identify the probability of the yellow marbles, you can find the amount of yellow marbles and the total amount of marbles. You take it as a fraction which would be 4/12.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of yellow marbles : 4 yellow
Probability of yellow marbles : 4/12
To identify the probability of the yellow marbles, you can find the amount of purple marbles and the total amount of marbles. You take it as a fraction which would be 3/12.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of purple marbles : 3 purple
Probability of purple marbles : 3/12
To identify the probability of both the yellow and purple marbles, you can find the amount of yellow and purple marbles along with the total amount of marbles. Since we know this from the work above, you just need to multiply both probabilities. You take it as a fraction which would be 12/144.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of yellow marbles : 4 yellow
The amount of purple marbles : 3 purple
Probability of yellow marbles : 4/12
Probability of purple marbles : 3/12
Probability of both marbles : 12/144
Can someone help me ASAP!!
Answers
9514 1404 393
Answer:
(a) No, because it will not go through the origin
Step-by-step explanation:
The equation is that of a straight line, but its y-intercept is 2, not 0. Because the y-intercept is not zero, the line does not go through the origin, and the relationship is not proportional.
+
9
y
Find
x
when
y
=
6
and
R
=
7
Answers
Answer:
15 2/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = -15.6
The height of the larger parallelogram, STRE, is 64. If the two parallelograms are similar, and the scale factor is 16, what is the height of parallelogram ANDK?
Answers
Answer:
The answer is 4
Step-by-step explanation:
I did the test
Answer: answer is 4 :)
Step-by-step explanation:
use the graph of g(x)=3 √x to help you explain why there is only one solution for every cube root equation of the form y=3 √x+a in which a is a real number
Answers
Answer:
G(x)=2x32+c
Step-by-step explanation:
Liz is exploring the coral reef at 92 feet below sea level and Jim is hiking 91 feet above sea level. Does this situation represent an additive inverse?
Answers
Answer: 183 is corecct
Step-by-step explanation:
If Jaliya has 5 paintings and paints 6 more how much does she have now?
Answers
Answer:
11
Step-by-step explanation:
5+6
5 + 6= 11
if ur learning multiplication the answer is 30
6 x 5 = 30
Please help me it would mean the world. Extra points!
The answer is 102m^2 provided by my teacher I just need the work.
Answers
Answer:
[tex] \displaystyle A_{ \text{triangle}} = 102 {m}^{2} [/tex]
Step-by-step explanation:
remember that,
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]
given that,b is 17 m and h is 12m
thus substitute:
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 17\times 12[/tex]
reduce fraction:
[tex] \displaystyle A_{ \text{triangle}} = 17\times 6[/tex]
simplify multiplication:
[tex] \displaystyle A_{ \text{triangle}} = 102 {m}^{2} [/tex]
Um who else is in love with Kenma Kozume?
Answers
Answer:
YESSSSS I AM APART OF THE KENMA CULT
Step-by-step explanation:
The sides of a triangle are 16, 21,
and 35. Determine if the triangle is
an acute, obtuse, or right triangle.
A. acute
B. right
C. obtuse
Answers
Answer:
A Acute
Step-by-step explanation:
cause a acute is between 0 and 90 degrees
Answer this question for me
Answers
need help pls asap !!!!!!!!!
Answers
Answer:
x = 5 cm
Step-by-step explanation:
Big rectangle
Length = 30 cm
Width = 12.5 cm
Length : width = 30 cm : 12.5 cm
Small rectangle
Length = 12 cm
Width = x cm
Length : width = 12 cm : x cm
Equate the ratios
30 cm : 12.5 cm = 12 cm : x cm
30/12.5 = 12/x
Cross product
30 * x = 12.5 * 12
30x = 150
x = 150/30
x = 5 cm