Answer:
7
Step-by-step explanation:
Hello 100 point Question with Explaining please
In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.
[tex]\longmapsto[/tex]The value of "x" is 5.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
A trapezium ABCD in which AB || CD such that
AO = x - 1CO = BO = x + 1OD = x + 4Now,
[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]
[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]
[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]
[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]
[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]
[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]
[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]
[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]
[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]
[tex]\bf\longmapsto \:x = 5[/tex]
Simplify the expression (2x^2+6x-7)-(9x^2-11)
2x^2 + 6x - 7 - 9x^2 + 11
(2x^2 - 9x^2) + (6x) + (-7 + 11)
-7x^2 + 6x + 4
Hope this helps!! :)
Answer:
=- 7x^2+6x+4
Step-by-step explanation:
what is 5/4÷1/10? because i don't know what it is
[tex]\bold{Hello~!}[/tex]
What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]
✧ ANSWER : [tex]0.125[/tex]☆ EXPLANATION :[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]
[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]
[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]
[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]
[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]
[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]
[tex]\sf{ 0.125}[/tex]
Hope It Helps!
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
[tex]\sf{Miwsow}[/tex]
Please, Follow me. and like my answers ! And, Brainliest is Appreciate !
May I please receive help?
Answer:
HG=7 , which would mean that HI =7 and KL = 6 so MK = 6
Answer:
HI = 7 and m ∠K = 100°
Step-by-step explanation:
In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are = and the angles are equal.
So HI = 7
In Δ KLJ, two sides are equal. If two sides of a triangle are equal then the angles opposite those sides are equal.
Now you know that m ∠L = 40°. In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°
What is the value pls help
Answer:
n = 27
Step-by-step explanation:
Multiplication has the commutative property, which means it doesn't matter what way around you put the numbers e.g. 4 × 3 = 3 × 4
So 27π = 27 × π = π × 27
n is 27
When Grace left Vermont to visit her grandfather in Florida,
the temperature in Vermont was -7°F. When she arrived,
the temperature in Florida was 65°F. What was the
difference between the two temperatures?
A
71°F
B
72°F
C
74°F
D
58°F
Answer:
D.
Step-by-step explanation:
It is simple. Subtract 7* from 65* to get you 58* F.
i just passed my math test that i had no idea how to do :)
i just felt the need to share that for some reason
have a good day/night/afternoon ^^
As long as you believe in yourself, you can do anything.
Answer:
brruhhh
Step-by-step explanation:
pls help fast no randoms
Answer:
A, D, E
Step-by-step explanation:
Those are your surds because when you square root them they stay in the radical
Answer:
hla shougi
Step-by-step explanation:
Mr.Crane and Ms. Finch are next-door neighbors. They both have beautiful gardens with feeders that attract wildlife. Mr. Crane uses 2 cups of sunflower seeds for evey 6 cups of birdseeds in his feeders. Ms. Finch uses 3 cups of sunflower seeds for every 5 cups of birdseed in her feeders. Whose Feeder has a greater ratio of sunflower seeds to birdseeds?
Answer:
ms finch
Step-by-step explanation:
.
Use the remainder theorem to determine whether x=-4 is a solution of
[tex] {x}^{6} + {5x}^{5} + {5x}^{4} + {5x}^{3} + {2x}^{2} - 10x - 8[/tex]
Answer:
The remainder is zero. Then x = –4 is a solution of the given equation.
Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
__________________
Hope it'll help you!
ℓu¢αzz ッ
Can anyone help me with this question?
Answer:
13
Step-by-step explanation:
Since this is a right triangle, you can use the Pythagorean Theorem.
The side y would be the hypotenuse.
[tex]a^{2} + b^{2} = c^{2}[/tex]
Plug it in:
[tex]5^{2} + 12^{2} = y^{2}[/tex]
Isolate y:
y = [tex]\sqrt{ 5^{2} + 12^{2} }[/tex]
Solve:
y = 13
Solve the equation |p − 8| = 4.
Answer:
p (4;12)
Step-by-step explanation:
lp - 8l = 4
---------------
1.
p - 8 = 4
p = 12
---------------
2.
- p + 8 = 4
p = 4
--------------
P: (4,12)
Answer:
P = -6 hope it helps
Step-by-step explanation:
please help me to solve problems
Step-by-step explanation:
ajhai ans Pani chaiyo ki sabai ko ans pathau
Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.
a. x+60⁰+30⁰=180⁰
x+90⁰=180⁰
x=180⁰-90⁰
x=90⁰
b. x+3x+40⁰=180⁰
collect like terms
4x+40⁰=180⁰
4x=180⁰-40⁰
4x=140⁰
Divide both sides by 4
x=35⁰
c. x+(x+7)+(x+5)=180⁰
3x+12=180⁰
3x=180⁰-12
3x=168⁰
x=168⁰÷3
x=56⁰
d. 52+x+y=180⁰
keeping in mind, two sides of this triangle are equal...
180⁰-52⁰=128⁰
128⁰÷2=64⁰
x=64⁰
x=64⁰ y=64⁰
e. b+a+90⁰=180⁰
right angled triangle
180⁰-90⁰=90⁰
90⁰÷2=45⁰
b=45⁰
b=45⁰ a=45⁰
f. Angles on a straight line equals 180⁰
180⁰-130⁰=50⁰
x=50⁰
Back to the triangle, in which two are equal,
50⁰+x+y=180⁰
180⁰-50⁰=110⁰
110⁰÷2=55⁰
y=55⁰
y=55⁰ z=55⁰
To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.
On a scale drawing of a map, two houses are 4 inches apart. The actual distance that they are apart is 30 miles. What is the scale used to create the scale drawing of the map?
Answer:
The map scale is 1 : 475200
Step-by-step explanation:
Todd is buying material to fence his new garden. He buys 2 strands of barbed wire and a post for every 3m of fence. Each post costs 300 dollars and barbed wire costs 20 dollars per meter. What is the shape of the largest area Todd can enclose if he spends 3000 dollars on fence material? Show your work.
fence material 268 is your answer..
Write the slope-intercept form of the equation of the line perpendicular to the
graph of 2x-y=6 that passes through the point (-4,1).
Answer:
12x=4y........................................
hi Help pls will mark as brainlist!!!!!!!!!
Answer:
-1/10
Step-by-step explanation:
-7/24 by the reciprocal of 35/12
The reciproical of 35/12 is 12/35
-7/24 * 12/35
Rewriting
-7/35 * 12/24
-1/5 * 1/2
-1/10
A concert venue can hold up to 2,400 people. 50 tickets are automatically reserved for radio stations to give out. When tickets go on sale for a Coldplay concert, 30 tickets are sold every minute. Which inequality below represents times in minutes , m, before the concert is sold out?
Erica cut 2/3 yard ribbon into pieces that are 1/6 yard long how many pieces of ribbon did she cut
Answer:
4 pieces
Step-by-step explanation:
To perform the calculation, it's easier for both values to have the same denominator.
2/3 yards is the same as 4/6 yards.
Now we have two values with the same denominator: 4/6 and 1/6.
(4/6) / (1/6) = 4.
so I'm not sure how to draw a square with the area of 3 units
[tex]8mx^{2}nx^{4}[/tex]
Step-by-step explanation:
You have $7,000 in your savings account gaining 4% interest per year. If you don't replace the $800 in the savings account
Arrange the following in descending order: 1/5,3/7,7/10
Answer:
7/10 - 3/7 - 1/5
Step-by-step explanation:
3/7-7/10-1/5
Step-by-step explanation:
Express the equation In y = 5 in exponential form.
TIMED HELP PLEASE
Answer:
log
2
(
y
)
=
5
→
2
5
=
y
⇒
y
=
32
Step-by-step explanation:
60% of a mussems fossils are from the jurassic period if the number of fossils from the jurassic period is 15 what is the total of number of fossils ate the musuem ?
The total number of fossils at the museum are, 25
WILL CHOOSE BRAINLIEST:Directions: From the graph, write the linear equation in slope-intercept form
Answer:
y = -2/3x - 2
Step-by-step explanation:
Picking two points on the line: (0,-2) & (-3,0)
Using the slope formula:
[tex]\frac{x2-x1}{y2-y1}[/tex]
= (0-(-2))/(-3-0)
= 2/-3
= -2/3
y = -2/3x + c
Subsituting (0,-2) into 'y = -2/3x+c':
-2 = 0 + c
c= -2
Hence,
y = -2/3x -2
Hope this helps, and be sure to have a wonderful time ahead at Brainly! :D
Feel free to mark this as brainliest :D
A popular laptop sells for $199.99. Since sales are so
good, the store raises the price by 13%. What is the cost
of the laptop after the markup?
Answer:
I believe the price after the markup would be $225.99, I hope this helps! :)
Answer:
Step-by-step explanation:
Increase % = 13%
[tex]New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\[/tex]
Determine if the system of equations has a unique solution.
3x - 2y + z = 15
2x + 4y + 6z = 30
X - 2y + 4z = 10
A. No solution
B. Linearly Dependent, infinite solution
C. Linearly Independent, Unique solution
Answer:
C. Linearly Independent, Unique solution
Step-by-step explanation:
x=11/2
y=7/4
z=2
1/(2+i)²
Solve this question....
[tex]\large\underline{\sf{Solution-}}[/tex]
Given complex number is
[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]
[tex]\rm \: = \: \dfrac{1}{4 - 1 + 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]
We know,
[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 + 16} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{25} [/tex]
[tex]\rm \: = \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]
Name the property that is illustrated.
1 x 3/4 = 3/4
Answer:
Associative Property of Addition