Answer:
x = 10Step-by-step explanation:
Given,
l || m
Therefore,
142° + (3x+8)° = 180° [Since Co-exterior angles]
=> 3x + 8 = 180 - 142
=> 3x + 8 = 38
=> 3x = 38 - 8
=> 3x = 30
[tex] = > x = \frac{30}{3} [/tex]
=> x = 10 (Ans)
A shopkeeper marked price of a radio is rupees 5000 is sold it allowing a discount of 10% and made a profit of rupees 500 find the cost price of the radio
the cost price of radio is Rs.4450.
Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.
Answer:
x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]
Step-by-step explanation:
Equate the first 2 parts of the ratios on both sides of the equation and solve for x.
Expressing the ratios in fractional form, then
[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
6x = 15 ( divide both sides by 6 )
x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]
-----------------------------------------------------------------------------------
Equate the last 2 parts of the ratios on both sides and solve for y
[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )
y = [tex]\frac{27}{4}[/tex]
A point is chosen randomly on KN. Identify the probability that the point is on KL or MN.
Answer:
11/18
Step-by-step explanation:
KL + MN = 11
Total = 18
Probability of KL or MN = 11/18
How would you graph 6x-5y=13
Answer:
Step-by-step explanation:
5y=...:
y=5-13
y=-8=>5y=-58
6x-(-58)=13
6x+58=13
6x =13-58
6x =-45
x =-45:6
x =-7.5
Lem is playing a board game and needs to roll two dice and get a six on both die in order to win the game. What is the probability that Lem will win the game on the next roll? Write your answer as a simplified fraction.
The probability of getting a 6 on one dice is 1/6
The probability of getting a 6 on both dice would be 1/6 x 1/6 = 1/36
Answer: 1/36
what is the square root of 100
The square root of 100 is 10.
To check, solve 10 x 10.
Hope this helps! Please mark me as brainliest!
Have a great day!
Which expression is equivalent to −24x+72?
−24(x−72)negative 24 times open paren x minus 72 close paren
−24(x−3)negative 24 times open paren x minus 3 close paren
24(x+3)24 times open paren x plus 3 close paren
24(x+72)
Answer:-24(x-3) = -24x (-24)(-3)
Step-by-step explanation:
Answer:
eat my hand where the pic
Step-by-step explanation:
yeah
plz help me out with the 'd' one
Answer:
381/90
Step-by-step explanation:
x = 4.2333.... ----------(I)
Number of digit after decimal is 2 ( 4 , 3). So multiply both sides by of equation 100
100x = 423.333..... (II)
One digit (3) is repeating.So, multiply by both sides of equation (I) by 10
10x = 42.333....... -----(III)
Subtract Equation (III) from (II)
(II) 100x = 423.333......
(III) 10x = 42.333...... {Subtract}
90x = 381
x = 381/90
What is the value of 4x2 + 5x - 8, if x = 3?
Answer: 43
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.
Given
4x² + 5x - 8
x = 3
Substitute the value of x
4(3)² + 5(3) - 8
Simplify exponents
4(9) + 5(3) - 8
Simplify multiplication
36 + 15 - 8
Final subtraction and addition
43
Hope this helps!! :)
Please let me know if you have any questions
How to find the unknown angles
Answer:
How do you find the unknown angle of a triangle? To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Step-by-step explanation:
Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
i need help ASAP. troll answers WILL be deleted.
(-2, -3) || -3 + -2 < -5 || -5 < -5 || FALSE
(-4, -2) || -2 + -4 < -5 || -6 < -5 || TRUE
(-3, -2) || -2 + -3 < -5 || -5 < -5 || FALSE
(-1, -3) || -3 + -1 < -5 || -4 < -5 || FALSE
Correct Answer: (-4, -2)
Hope this helps!
Answer:
(-1,-3)
Step-by-step explanation:
(x,y)
it's not hard just plug in the coordinates for x and y ;-;
-2 is x, -3 is y
-3+-2<-5
-5<-5? false.
-4 is x, -2 is y
-2+-4<-5
-6<-5? false.
-3 is x, -2 is y
-3+-2<-5
-5<-5? false
-1 is x, -3 is y
-1+-3<-5
-4<-5? true
hopefully you found out the pattern in how to do this if you did not know. or if you simply were too l a z y to do it urself I understand that as well. have a great day!
Can the sides of a triangle have lengths of 42, 45, and 13? If so, what kind of triangle is it?
Answer:
obtuse
Step-by-step explanation:
45^2 = 2025
42^2 = 1764
13^2 = 169
169+1764=1933
2025 > 1933
therefore it is an obtuse triangle
The perimeter of a rectangular park is 200 feet. The length of the park is 40 feet longer than the width.Find the length of the park.
What is the length of the park?
feet?
[tex] \green{ \boxed{\sf \: length \: \: = 70 \: \: feet}}[/tex]
Step-by-step explanation:
Let assume that,
Wide = xSo,
length = x + 40Given,
perimeter = 200 feet
We know that,
Perimeter = 2(length + wide)
So,
[tex]200 = 2(x + 40 + x) \\ = > \frac{200}{2} = 2x + 40 \\ = > 2x + 40 = 100 \\ = > 2x = 100 - 40 = 60 \\ = > x = \frac{60}{2} \\ = > x = 30 \: feet[/tex]
So length = x + 40 = 30 + 40 = 70 feet
What is the value of x?
Enter your answer in the box.
X =
Answer:
x = 55°
Step-by-step explanation:
The sum of the angles in a triangle is 180°.
x + 75 + 50 = 180
x + 125 = 180
x = 55
Therefore, x = 55°.
Answer:
x = 55
Step-by-step explanation:
the angles of a triangle add up to 180 degrees. So far we have 125 taken up.
We do 180 - 125 = 55.
x = 55
can someone please help me with this math thing, i'm being timed and i don't know what else i can do, if someone wants to help just do the Nick one the graph and the Sammy and Mariam one i’ll try to do by myself but please help me
Answer:
Step-by-step explanation:
a. amt. of weeks and hours worked
Based only on the given information, it is guaranteed that LN I MO.
L
Given: ALON
LM: NM
LO = NO
MO #MO
M
0
N
Answer:
true
Step-by-step explanation:
We are given that sides LM and NM, LO and NO, MO and MO are congruent. Since this describes 3 sides of the triangle, you can say ΔMNO is congruent to ΔMLO. From this, you can say ∠OMN is congruent to ∠OML. The two angles (∠OMN and ∠OML) form a straight line, meaning they add up to 180 degrees. We can write:
∠OMN + ∠OML = 180
And since ∠OMN = ∠OML, we can substitute and solve:
∠OMN + ∠OMN = 180
2∠OMN = 180
∠OML =∠OMN = 90
Since both these angles are 90 degrees, LN is perpendicular to MO by definition.
If the vertex of an isosceles triangle measures 46°, what is the measure of it’s base angles?
Answer:
67°
Step-by-step explanation:
let the base angle=x
x+x+46=180
2x=180-46=134
x=134/2=67
Find the value of x.
Answer:
A - 55 degrees
Step-by-step explanation:
secant-tangent angle: 1/2(larger-smaller)
1/2(180-70)
1/2(110)
55 degrees
A certain company sells tea in loose leaf and bagged form, and in five flavors: Darjeeling, earl grey, chamomile, peppermint, and orange pekoe. The company packages the tea in boxes that contain either 8 ounces of tea of the same flavor and the same form, or 8 ounces of tea of 4 different flavors and the same form. If the order in which the flavors are packed does not matter, how many different types of packages are possible
Answer:
- 20
Step-by-step explanation:
Given that,
Flavors of tea = 5
Types of packaging = 2
So,
No. of possibilities = 5 * 2
= 10
A.T.Q.,
4 from 5 total flavors will be included in the variety pack, the number of available choices = 5C4
= 5 choices
Since 5 choices are probable for each form, The total in two forms would be 5 * 2 = 10.
Therefore,
Total no. of different packs can be possible = 10 + 10
= 20
(3×sqrt(3)-2×sqrt(2))÷(sqrt(3)-sqrt(2))
Answer:
5+√6
Step-by-step explanation:
(3√3 -2√2) ÷ (√3-√2 )
= (3√3 -2√2) (√3+√2) ÷ (√3 -2√2) (√3+√2)
= (9+3√3√2-2√2√3-4) ÷ ((√3)^2 -(√2)^2)
=(9+3√6-2√6-4) ÷ (3-2)
= (5+√6)
There are 6 wooden cubes, each of side 5 centimeters there total mass is 525 grams find the mass per cube. b)find the mass per cubic centimeter of a cube.
Answer:
(a) 87.5 g
(b) 0.7 g per cubic cm
Step-by-step explanation:
side of each cube, s = 5 cm
total mass, M = 525 g
(a) mass of each cube, m = M/6 = 525/6 = 87.5 g
(b) Volume of each cube = s x s s = 5 x 5 x 5 = 125 cubic cm
mass per cubic cm = 87.5/125 =0.7 g per cubic cm
PLEASE HELP AND EXPLAIN!!
Answer:
D
Step-by-step explanation:
This isnt a cartisean coordinate plane so A is wrong. One of our points is at
[tex] - 3 + i[/tex]
Because it coincide with real number 3, and negative imaginary number i.
Conjugates are terms with opposite inverse of terms.
So our conjugates is
[tex] - 3 - i[/tex]
HELP PLEASE!!!
Find the length of AB.
А.53.74
B.26.05
C.96.95
D.84.79
Answer:
Step-by-step explanation:
Sin 61 = 47/X
(X=AB)
X = 53.73764119
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.
Using the Sine ratio for the angle B, we can writte,
Sin(∠B) = AC/AB
Sin(61°) = 47/AB
AB = 53.74 units
Hence, the correct option is A.
Learn more about Sine:
https://brainly.com/question/21286835
#SPJ2
O 131 If cos 23°=P, express without the use of a calculator the following in terms of p.
Cos203°
Answer:
cos203° = - p
Step-by-step explanation:
Using the addition formula for cosine
cos(a + b) = cosacosb - sinasinb
cos203°
= cos(180 + 23)
= cos180°cos23° - sin180°sin23°
= cos180°. p - 0
= - 1 . p
= - p
|x-2| + |x+1| -5=0
find x
Answer:
|x-2| + |x+1| -5=0
⇒|x-2| + |x+1|=5
⇒x-2+x+1=5
⇒2x=6
⇒x=3
Step-by-step explanation:
The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 89% confidence interval for the mean gas mileage for this car model.
Answer:
The answer is "(27.030,29.770)"
Step-by-step explanation:
[tex](\bar{x}) = 28.4[/tex]
[tex](n)= 49[/tex]
[tex](\sigma) = 6[/tex]
[tex](CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}[/tex]
[tex]z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})[/tex]
[tex]CI = 28.4 \pm 1.598 \times \frac{6}{\sqrt{49}}=(27.030,29.770)[/tex]
Help: A marching band is rehearsing. 4/5 of the marching band members play percussion instruments. 4/6 of the percussionists play the snare drum. What fraction of all the band members play the snare drum.
Answer: 1.2/5 Marching band members play the snare drum.
Step-by-step explanation:
4/5 Band Members Play Percussion Instruments. (80%)
4/6 Play The Snare Drum. (66% of the 80%)
1/5 Band Members Do NOT play percussion. (20%)
80 - 66 = 14%
14 + 20 = 24%
1/5 = 20%
1.5/5 = 30%
1.2/5 = 24%
1.2/5 Marching band members play the snare drum.
A point has
the coordinates (m, 0) and m + 0.
Which reflection of the point will produce an image located at (0, -m)?
• a reflection of the point across the x-axis
O a reflection of the point across the y-axis
O a reflection of the point across the line y = X
a reflection of the point across the line y = -X
Answer:
A reflection of the point across the line y = -x
Step-by-step explanation:
General rule for reflection across line y = -x is
(a,b) -------> (-b , -a)
What is the estimated value of 2v12 . 3V5 / V30 . V36
Answer:
the correct answer is b and I know this because I just had it
hurry PLEASE i'm unsure of this
Answer:
Infinite solutions
Step-by-step explanation:
x + 4y = 7 --------------(I)
8y = 14 - 2x
⇒ 2x + 8y = 14 -----------(II)
[tex]\frac{a_{1}}{a_{2}}=\frac{1}{2}\\\\\frac{b_{1}}{b_{2}}=\frac{4}{8}=\frac{1}{2}\\\\\frac{c_{1}}{c_{2}}=\frac{7}{14}=\frac{1}{2}\\\\\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{2}[/tex]
So, infinite solutions
Answer:
G
Step-by-step explanation:
Given the 2 equations
x + 4y = 7 → (1)
8y = 14 - 2x → (2)
make x the subject of (1) by subtracting 4y from both sides
x = 7 - 4y
Substitute x = 7 - 4y into (2)
8y = 14 - 2(7 - 4y) ← distribute
8y = 14 - 14 + 8y
8y = 8y
Since both sides are equal this indicates the system has infinite solutions