This triangle is an isosceles triangle because it has two congruent sides. Therefore, the two bottom angles are also congruent. And, the sum of the interior angles of a triangle is 180 degrees.
180 = 104 + (9x - 25) + (9x - 25)
180 = 104 + 18x - 50
180 = 54 + 18x
126 = 18x
x = 7
Hope this helps!
Multiply and reduce to lowest form and convert into a mixed fraction:
a) 15 x 3/5
b) 4 x 1/3
c) 5/2 x 6
Answer:
a) 9
b)
[tex]1 \frac{1}{3} [/tex]
c) 15
Step-by-step explanation:
The first step is to cancel out the fraction's denominator if possible.
a)
[tex]15 \times \frac{3}{5} [/tex]
We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is
[tex]3 \times \frac{3}{1} [/tex]
Since 3/1 is 3, we can now simplify the values:
[tex]3 \times 3 = 9[/tex]
b)
[tex]4 \times \frac{1}{3} [/tex]
4 is indivisible by three and gives a non-whole value. This is not what we need here.
Instead we should do the division rule and find the remainder.
In this case, 4 divided by 3 gives 1 with a remainder of 1.
[tex]4 \times \frac{1}{3} = \frac{4}{3} [/tex]
After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:
[tex] \frac{4}{3} = 1r1[/tex]
The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:
[tex] \frac{4}{3} = 1 + \frac{1}{3} = 1 \frac{1}{3} [/tex]
c)
[tex] \frac{5}{2} \times 6[/tex]
For this part, we can cancel out 2 since 6 is divisible by 2. This gives:
[tex] \frac{5}{1} \times 3[/tex]
Since 5/1 is 5,
we can now solve part c:
[tex]5 \times 3 = 15[/tex]
In a large crowd, there are three times as
many men as women. Three people are
chosen at random. Assuming that there are
so many people that choosing three has a
negligible effect on the proportion of men to
women, find the probability that they are
a.all men
b.2 women and 1 man.
Answer:
A. All men
Explanation
The probability of all men = 0.4219 while the probability of 2 women and 1 man = 0.14
How to solve for the probability of menThe question says we have three times as much men as women
The probability it is a man that was chosen = 3/4
The probability of choosing a woman = 1/4
a. The probability that the chosen persons are all men = (3/4)³
= 0.4219
b. The probability of 2 women and 1 man
3 * 0.75 *0.25²
= 0.14
Hence the probabilities are a. 0.4219 and b. 0.14
Read more on probability here:
https://brainly.com/question/24756209
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verify : x×y=y×x,if x=0,y =-8/3,z=1
plz give the ans
Answer:
Verify x+y+z)=(x+y)+z for the following values of x,y,z
(i)x=3/4,y=5/6,z=-7/8(
ii)x=2/; 3,y=-5/6,z=-7/9(
iii)x=3/5,y=-6/9,z=2/10(
iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24
RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24
LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18
= 12/18 - 29/18 = -17/18
RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =
-17/18
LHS = RHS....
Hence verified..
Step-by-step explanation:
hope it helps u no notebook
.???
work out 1 2/3 x 1 1/5
pls give the full answer with working out
{NOTE:the 2/3 and the 1/5 are fractions and the 1's are the whole numbers}
Answer:
5/3*1/5= 1/3
Step-by-step explanation:
change the mixed fraction into improper fraction which is 1*3+2=5
then multiply
Please help me this is due in like five minutes
Answer:
20 cm²
Step-by-step explanation:
Area of the square = 2cm * 2cm = 4 cm²
Area of All triangles = (4cm * 2cm) ÷ 2cm * 4cm = (4cm * 2cm) * 2cm = 16 cm²
Total Area = 4 cm² + 16 cm² = 20 cm²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
30% of 50 is___
plss answerr
Answer:
15 is 30 percent of 50 hope this helps
In ΔKLM, the measure of ∠M=90°, LK = 5, KM = 3, and ML = 4. What ratio represents the cosine of ∠K?
What is the value of y?
SUM OF ALL INTERIOR ANGLE = 180
[tex]y + y + 72 = 180 \\ 2y + 72 = 180 \\ 2y = 180 - 72 \\ 2y = 108 \\ y = \frac{108}{2} \\ y = \frac{ \cancel{108}^{ \: \: \: \tiny{54}} }{ \cancel{2}} \\ y = 54 \degree[/tex]
the sum of triangle is 180 :
[tex]y + y + 72 = 180 \\ 2y + 72 = 180 \\ 2y = 180 - 75 \\ 2y = 108 \\ y = \frac{108}{2} \\ y = 54[/tex]
is dilated to become LaTeX: g\left(x\right)=\frac{1}{3}\cdot4^x. What is the specific effect on LaTeX: f\left(x\right)
Answer:
f(x) is shrinked
Step-by-step explanation:
Given
[tex]f(x) = 4^x[/tex]
[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]
Required
The effect of dilation on f(x)
From the given parameters, we have:
[tex]f(x) = 4^x[/tex]
[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]
On a general term;
[tex]g(x) = k * f(x)[/tex]
So by comparison:
[tex]k = \frac{1}{3}[/tex]
When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink
What is the measure of x in the figure below?
Answer:
115 degree
Step-by-step explanation:
x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])
x = 180 - 65
x = 115 degree
i will give brainliest
Hello,
Probability get a Bleu marble =5/12
Probability get a Red marble =4/12
Probability get a Green marble =3/12
p(B,R)=5/12*4/12=20/144
p(R,B)=4/12*5/12=20/144
p(B,G)=5/12*3/12=15/144
p(G,B)=3/12*5/12=15/144
p(R,G)=4/12*3/12=12/144
p(G,R)=3/12*4/12=12/144
p(2 marble different colours)= 2*(20+15+12)/144=94/144=47/72
Find the measure of the indicated angle
Answer:
73 degrees
Step-by-step explanation:
The line on the two sides of the triangle indicates that the triangles is isosceles. This means that the base angles are congruent.
What is the answer to this question
Answer:
26 m is the answer to the question
Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|
Answer:
I don't know I don't know about question
17
Select the correct answer from each drop-down menu.
Consider this system of equations:
2x+ıy=3
(equation A)
fr-y=6
(equation B)
The expressions that give the value of y are
The solution for the given system is
and
Answer:
The expressions that give the value of y are A - 3B and (1/3)A - B
The solution is (27/13, -60/13)
Step-by-step explanation:
We can see both equation A and equation B.
Equation A: 2x + (1/4)y = 3
Equation B: (2/3)x - y = 6
To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:
(13/4)y = -15
y = -60/13
you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)
Put y = -60/13 in equation A to get x:
2x + (1/4)(-60/13) = 3
2x = 3 + 15/13
2x = 54/13
x = 27/13
The solution is (27/13, -60/13)
Find x. Round your answer to the nearest hundredth
Answer:
5.86
Step-by-step explanation:
Answer:
x = 5.86
Step-by-step explanation:
x / 15 = cos67°
x = 15cos67°
x = 5.86
Please help me with this one!!
Answer:
[tex]21 in^{2}[/tex]
Step-by-step explanation:
The square in the middle has a length and width of 3, so multiply. 9.
All of the triangles have a base of 3 and a height of 2. The area equation for triangles is
[tex]A=bh\frac{1}{2}[/tex]
So base*height is 6. Divide that by 2 or multiply by 1/2.
You get 3. There are 4 triangles, so multiply that by 4. 12.
Add 12 and 9 together, and you get:
[tex]21 in^{2}[/tex]
I hope this helps!
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
Answer:
The answer is B
B) x>3
CHECK THE IMAGE! FOR THE QUESTION
Answer:
A
Step-by-step explanation:
William used 15 cm of tape to wrap 3 presents. Find the length of tape to wrap for 1 present?
Answer:
The length of tape to wrap = 5 cm
Step-by-step explanation:
Let the length of tape used to wrap 1 present be = x
Tape length Number of presents
15 cm 3
x 1
[tex]\frac{15}{x} = \frac{3}{1} \\\\x \times 3 = 1 \times 15\\\\x = \frac{15}{3} = 5 \ cm[/tex]
i need help because summer school is bad
Answer:
B or the second one
Step-by-step explanation:
There are the same numbers just positive and negative.
Hope it helps c:
Find the average rate of change of g(x)= 7x^4+7/x^3 on the interval [2,3]
Someone help me please I’m exhausted & struggling
Answer:
Step-by-step explanation:
write twelve thousand twelve hundred and twelve in numbers
Answer:
12, 120,012
Step-by-step explanation:
What is the volume of the prism?
A rectangular prism with cubic units arranged in two rows of two with six total layers. Each cubic unit is one cubic meter.
14 m3
24 m3
30 m3
44 m3
Answer:
24 m³
Step-by-step explanation:
We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 m³ .
Volume of one unit :-
[tex]\rm\implies Volume_{one\ unit } = 1m^3 [/tex]
By Unitary Method :-
Volume of two cubes , will be :-
[tex]\rm\implies Volume_{two\ unit } = 2m^3 [/tex]
Volume of one layer :-
[tex]\rm\implies Volume_{one\ layer } = 4m^3 [/tex]
Volume of six layers :-
[tex]\rm\implies Volume_{6\ layers } = 4m^3\times 6 \\\\\rm\implies \boxed{\rm Volume_{6\ layers } = 24 \ m^3} [/tex]
What is 600000+45 yes I'm back
Answer:
600045
Step-by-step explanation:
Answer:
Hmm the answer might be 600045
Step-by-step explanation:
So what you do is that you add them up using your calculator or brain.
Find the nature of roots for equation 2x square -root5x -2 =0
Pls help me fast
Answer:
roots are real and distinct
Step-by-step explanation:
To determine the nature of the roots use the discriminant , b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then roots are not real
Given
2x² - [tex]\sqrt{5}[/tex] x - 2 = 0
with a = 2, b = - [tex]\sqrt{5}[/tex] , c = - 2 , then
b² - 4ac
= (- [tex]\sqrt{5}[/tex] )² - ( 4 × 2 × - 2)
= 5 - (- 16)
= 5 + 16
= 21
Since b² - 4ac > 0 then the equation has 2 real and distinct roots
[X + y] + 3w? Helpppppp
Answer:
x+y+3w
Step-by-step explanation:
Find the measure of the indicated angle
Answer:
X = 88 degrees
Step-by-step explanation:
Because its an isosceles triangle the two top angles are 46.
46 + 46 = 98
then you take the degree of the triangle 180 and subtract 98 from it to get 88 degrees
Question
Example
Step by Step
A
You can represent the measures of an angle and its complement as xºand (90-x)º.
Similarly, you can represent the measures of an angle and its supplement as x and
(180 - x )°. Use these expressions to find the measures of the angles described.
The measure of an angle increased by 68° is equal to the measure of its complement.
The measure of the angle is
and the measure of its complement is
Answer:
The measure of the angle is 11 and its complement is 79 degrees
Step-by-step explanation:
Mathematically, when two angles are complementary, the sum of the angles equal 90 degrees
so now, if the first angle is x , the second angle which is increased by 68 degrees will be x + 68
So now if we add these two, the value we will get is 90 degrees
Mathematically, we have this as;
x + x + 68 = 90
2x + 68 = 90
2x = 90-68
2x = 22
x = 22/2
x = 11
the measure of the angle is 11 and its complement will be 11 + 68 = 79