Answer:
x = 8
Step-by-step explanation:
Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.
m<MNO = (5x + 2)° => exterior angle of ∆LMN
m<NLM = (x + 10)° => interior angle of ∆LMN
m<LMN = (x + 16)° => interior angle of ∆LMN
Therefore:
m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)
Substitute
5x + 2 = x + 10 + x + 16
Add like terms
5x + 2 = 2x + 26
Collect like terms
5x - 2x = -2 + 26
3x = 24
Divide not sides by 3
x = 24/3
x = 8
what is the value of x?
When a pair of parallel lines is intersected by a transversal, then
Interior opposite angles are equal.
So, (3x + 4)° = 115°
=> 3x + 4 = 115
=> 3x = 115 - 4
=> 3x = 111
=> x = 111/3
=> x = 37
Answer:
37
Step-by-step explanation:
So, if you got two parallel line, which are crossed by another line, the conterminal angles are gonna be as big as each other.
what we get outta this explanation is
3X+4=115===> 3X=111===> X=37
Write an equation that represents the line.
Use exact numbers.
the line passes point (0, -3) and (1, -5)
the slope = (-5+3) /(1-0) = -2/1 = -2
the y-intercept = -3
so, the equation : y = -2x -3
Given EH = 12 and EG = 20 , find FJ.
Answer:
10
Step-by-step explanation:
If you look at it 20 is from EG so if FJ is half of EG then FJ is half of 20
AB = 20 cm, m∠A = 30°, and m∠C = 45°. Express the number of centimeters in the length of BC in simplest radical form.
Answer:
Step-by-step explanation:
x/Sin30 = 20/sin45 multiply both sides by sin30
x = 20*sin30 / sin45
sin30 = 1/2
sin45 = 0.7071
x = 20*1/2 / 0.7071
x = 10 / 0.7071
x = 10 * sqrt(2)
try it, let's see can u do or not
Answer:
Step-by-step explanation:
From the given trapezium, the following can be observed:
i. trapezium ABCD
ii. AB || DC
iii. EF || AB
iv. EF || DC
Let AD ≅ BC, then:
AD = AE + ED
BC = BF + FC
So that with the condition that;
AE ≅ BF
and
ED ≅ CF
So then;
AE:ED ≅ BF:FC
Which implies that;
[tex]\frac{AE}{ED}[/tex] = [tex]\frac{BF}{FC}[/tex]
2c(u-6)+(u-6) complete the expression
Answer:
the answer to the expression is u=4
How many possible outcomes do you have when you role 4 dice
Answer:
1296
Step-by-step explanation:
6^4
does anyone understand this? will give Brainly for correct answer
Answer:
[tex]x_{1}[/tex] = [tex]\frac{\pi }{6}[/tex] and [tex]x_{2}[/tex] = [tex]\frac{5\pi }{6}[/tex]
Step-by-step explanation:
Express each of the following decimal number in p/q form
3.127bar
Answer:
3124/999
Step-by-step explanation:
x = 3. 127 127 ....... -------------(I)
127 -----> 3 digits are repeating. so multiply both sides by 1000
(I)*1000 1000x = 3127.127127......
x = 3.127127...... [Now subtract}
999x = 3124
x = 3124/999
What is the result of subtracting the second equation from the first?
-2x+y = 0
-7x+3y = 2
Answer:
-5x + 2y=2
Step-by-step explanation:
[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]
What number is increased by 40% become 28?
a.5 b. 10 c. 15 d. 20
Answer:
d. 20
Step-by-step explanation:
28 ÷ (100%+40%)
= 28 ÷ 140%
= 28 ÷ 1.4 = 20
Answer:
option d
Step-by-step explanation:
Let the number be x
40% of x = 0.40x
Increased by 40% = 28
That is ,
x + 0.40x = 28
1.40x = 28
[tex]x = \frac{28}{1.40}\\[/tex]
[tex]x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20[/tex]
Therefore, the number is 20
I don’t know how to do this can someone help?
Answer:
Why your question is not visible
Your photo is black screen
Step-by-step explanation:
Please Mark me brainliest
Si "m" es el lado mayor de un triángulo, dos cuyos ángulos interiores miden 30° y 60°, entonces el perímetro del triángulo es
Answer:
[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]
Step-by-step explanation:
triángulo 30°-60°-90°
[tex] 1~:~\sqrt{3}~:~2 [/tex]
[tex] 1m~:~m\sqrt{3}~:~2m [/tex]
[tex] \dfrac{m}{2}~:~\dfrac{m\sqrt{3}}{2}~:~m [/tex]
[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + m[/tex]
[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + \dfrac{2m}{2}[/tex]
[tex]perimetro = \dfrac{m + m\sqrt{3} + 2m}{2}[/tex]
[tex]perimetro = \dfrac{3m + m\sqrt{3}}{2}[/tex]
[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]
URGENT PLS ANSWER QUICKLY
Answer:
5 is 14cm . 14 is 2pie r. 6 is 120
Answer:
Question 5 = 14
Question 6 = 120
I hope this helped!
Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answer:
1.06
Step-by-step explanation:
cos41⁰ = 0.8 ÷ X
X = 0.8 ÷ cos41⁰
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a right triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
x = Hyp (for this question)
Cos(41) = 0.8 / Hyp
use your algebra skillz
Hyp = 0.8 / Cos(41)
use your calculator to fund Cos(41) into 0.8
Hyp = 1.060010395 (that's all the decimal places my calc would go out to )
x = 1.1 ( rounded to nearest 10th )
One hundred rats are being trained to run through a maze and are rewarded when they run through it correctly. Once a rat successfully runs the maze, it continues to run the maze correctly in all subsequent trials. The number of rats that run the maze incorrectly after t attempts is given approximately by Find the number of trials required such that only % of the rats are running the maze incorrectly. Round to the nearest trial.
Answer:
6 trials
Step-by-step explanation:
The number of rats that run the maze incorrectly after t trials ;
N(t) = 100e^-0.14t
Initial number of rats = 100
45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats
N(t) = 45
N(t) = 100e^-0.14t
45 = 100e^-0.14t
45/100 = e^-0.14t
0.45 = e^-0.14t
Take the In of both sides :
In(0.45) = In(e^-0.14t)
- 0.798507 = - 0.14t
Divide both sides by -0.14
- 0.798507 / - 0.14 = - 0.14t / - 0.14
5.7036 = t
To the nearest whole number :
Number of trials, t = 6 trials
PLS HELP !!!
a. 15
b. 1
c. 2
d. 11
Answer:
d
Step-by-step explanation:
ive had this exac problem before
Answer:
B. 1
Step-by-step explanation:
Since the sides are equal to each other, the equations will be equal.
4x + 7 = x + 10
-7 -7
---------------------
4x= x + 3
-x -x
-------------
3x = 3
---- ---
3 3
x = 1
The answer is 1.
help i’m so confused
Answer:
-27/7
Step-by-step explanation:
put x into the equation
Aimee wants to cut a piece of ribbon that is 5 1/4 meters long into lengths that are 1 1/8 meters long. How many full pieces can she cut?
Answer:
Four pieces.
Step-by-step explanation:
If Aimee has a piece of ribbon that is 5 1/4, or 5 2/8 meters long, then you will want to divide that main part into smaller parts of the other length.
1 1/8 meters multiplied by 1 is 1 1/8 meters. This still fits. 1 1/8 meters multiplied by 2 is 2 1/4 meters. This still fits. 1 1/8 meters multiplied by 3 is 3 3/8 meters, which still fits. 1 1/8 meters multiplied by 4 is 4 1/2 meters, which still fits. However, once you reach 5, or 5 5/8 total, then that is over the size of the whole.
So, four full pieces can be cut.
At a school concert the total value of tickets sold was $4452. Student tickets sold for $8 and adult tickets sold for $12. The number of adult tickets sold was 7 less than 4 times the number of student tickets. Find the number of student tickets sold.
Answer:
there is 81 student and 317 adults adults :) got u
Step-by-step explanation:
4452 = 8n + (4n-7)12
4452 = 8n + 48n - 84
4536 = 56n
81 = n
what is the area of this triangle
Answer:
son Judy even eat and technology and yyry and then he will get your BMW
If px-3+qx+1=2x+3,Find the value of p+q
The Marked price, inclusive of GST, of a notebook computer is $1679.90.it is sold at a discount of 10%.
a) find its marked price before GST
b)Find the GST before discount.
c)What is the selling price of the computer
d) find the GST after the discount
e)what is the percentage decrease in the GST
Answer:i don’t know
Step-by-step explanation:i don’t know
Explain how you can write a quadratic function in a factored form that would have a vertex with an x-coordinate of 3 and two distant roots
Answer:
Step-by-step explanation:
(x-3)²-4=0
(x-3)²=4=2²
x-3=±2
x=3±2
x=3-2,3+2
x=1,5
it has two distinct roots and a vertex at x=3
Suppose that X1 and X2 are independent random variables each with a mean μ and a variance σ^2. Compute the mean and variance of Y = 3X1 + X2.
Mean:
E[Y] = E[3X₁ + X₂]
E[Y] = 3 E[X₁] + E[X₂]
E[Y] = 3µ + µ
E[Y] = 4µ
Variance:
Var[Y] = Var[3X₁ + X₂]
Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]
(the covariance is 0 since X₁ and X₂ are independent)
Var[Y] = 9 Var[X₁] + Var[X₂]
Var[Y] = 9σ² + σ²
Var[Y] = 10σ²
which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2
Answer:
Option D: x ≥ 1.
Step-by-step explanation:
Here we have the quotient:
[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]
Here we have two restrictions for the domain.
first, the denominator can never be zero, so x must be different than zero.
Second, the arguments of the square roots can not be negative.
The one in the denominator is always positive because we have the square of x.
So let's look at the values of x, such that:
15*(x - 1) ≥ 0
(x - 1) ≥ 0
x ≥ 1
Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:
x ≥ 1.
The correct option is D
A committee that consists of five members are to be chosen from 6 boys and 5 girls. Find the number of different committees that can be formed if only two boys are selected
Answer:
150 different committees can be formed
Step-by-step explanation:
We have 6 boys and 5 girls and we want to select 5 members
Out of these 5 members, two boys are selected
Since two boys are selected, we are left with three girls
So, out of 6 boys, we select 2 boys and out of 5 girls, we select 3 girls
Mathematically, we know that the number of ways in which we can select r items from a total n follows the combinatorial formula;
nCr = n!/(n-r)!r!
With this, we have;
6C2 * 5C3
= (6!/(6-2)!2!) * (5!/(5-3)!3!) = 150 different committees can be formed
the regular price of base ball cleats is 80 dollars if the cleats are on sale for 45% off, then what is the value of the discount in dollars?
Answer:
$36
Step-by-step explanation:
If the cleats were on sale for 45% off, that means they were 55% "on." Therefore, you have to multiply 80 by 0.55* to get how much they cost.
80 x 0.55 is 44.
To get the value of the discount, you subtract 44 from 80, which is 36.
The cleats sold for $44, and there was a $36 discount.
*you multiply by 0.55 because it is 55 percent. Percent means "per every hundred." That's why you have to divide 55 by 100 to get 0.55.
An alternate way to solve this is to multiply 80 by 55 and then divide the result by 100, but you'll still get 44.
Dog breeds 2238 pages in seven hours he reads the same number of pages each hour how many pages did he read in one hour
Answer:
319 pages and a half
Step-by-step explanation:
Triangle Angle-Sum Theorem
Answer:
answer is C , 123
Step-by-step explanation:
angle 1 = sum of the interior opposite Angles
1 = 60 + 63
1 = 123