Answer:
x = 40°
Step-by-step explanation:
Both triangles can be regarded as similar triangles. Therefore, their corresponding angles would be congruent to each other.
Thus:
x = 180° - (75° + 65°)
x = 180 - 140
x = 40°
apply the distributive property to create an equivalent expression
1/2 (10x + 20y + 10z)=
Answer:
5x + 10y + 5z
Step-by-step explanation:
( 1/2 x 10x ) + ( 1/2 x 20y ) + ( 1/2 x 10z )
Hello!
The Answer is: 5x+10y+5zThank you for asking this question!
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Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°.
What are the values of x and y?
Given:
Triangle EFG and EHG are two right triangles.
[tex]m\angle HEG=35^\circ[/tex]
[tex]m\angle FGE=30^\circ[/tex]
To find:
The values of x and y.
Solution:
In triangle EFG,
[tex]m\angle EFG+m\angle FGE+m\angle FEG=180^\circ[/tex] [Angle sum property]
[tex]90^\circ+30^\circ+(x+35)^\circ=180^\circ[/tex]
[tex](x+155)^\circ=180^\circ[/tex]
[tex]x+155=180[/tex]
[tex]x=180-155[/tex]
[tex]x=25[/tex]
In triangle EHG,
[tex]m\angle EHG+m\angle HEG+m\angle EGH=180^\circ[/tex] [Angle sum property]
[tex]90^\circ+35^\circ+(y+30)^\circ=180^\circ[/tex]
[tex](y+155)^\circ=180^\circ[/tex]
[tex]y+155=180[/tex]
[tex]y=180-155[/tex]
[tex]y=25[/tex]
Therefore, the value of x is 25 and the value of y is also 25.
at 30 minutes to 2 o'clock find the radian measure of the angle made by the minute hand with the hour hand of a clock
Answer:
And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.
0% of the students on a field trip love the museum. If there are 0 students on the field trip, how many love the museum?
Answer:
0 students love the museum
Step-by-step explanation:
since the percentage of students that love the museum is zero, no matter how many students went, the number of people who like the museum will always be 0
now if 100 students went and 32% loved the field trip, then you would take 32% of the amount of students who went, to find the exact number of students who liked the field trip
32% of 100 is 32, so in my example, 32 people loved the museum
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Which statements are true about all points on the x-axis? Check all that apply.
They have a y-value of 0.
They have an x-value that is not 0.
They are not to the left or to the right of the origin.
They are in Quadrant I.
They are not in any of the quadrants.
They are not above or below the origin.
Answer:
They have a y-value of 0.
They are in Quadrant I.
They are not above or below the origin.
Step-by-step explanation:
i hope this helps:)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-16)
43°
109°
Jason buys 2 sandwiches for $12. He uses the equation shown to find the cost, X, of each sandwich
2x = 12
What is the cost of each sandwich?
A $6
B) $10
C$14
D $24
Answer:
it is a
Step-by-step explanation:
Answer:
A) $6
Step-by-step explanation:
divide the 12 on the right by the 2 on the left. This gets X by itself. 12/2 is 6, therefor oyur sandwhich costs $6
1
Subtract: (-9 +61) - (5-101)
Your Work
Please show ^
148
(-9 +61) - (5-101)
(-9 +61) = 52
(5-101) = -96
So, 52 - ( - 96 )
=> 52 + 96
=> 148
Hope it helps!
Answer:
-9+61-5+101
-14+162
148
hope this will help you
Alejandro's baseball album holds 3 baseball cards per page. If there are 8 pages in the album, how many baseball cards can it hold? Use the number line to help solve the problem. Write your answer in the post below.
Step-by-step explanation:
1 page = 3 baseball cards
8 pages = 3 * 8 = 24 baseball cards.
We can represent this on the number line by putting a solid dot above the number 24 along the axis.
Picture below/above.........
Answer:
a= -12
hope it helps.
and also sorry, if I'm wrong.
Answer:
a=-24
Step-by-step explanation:
a-8×6=12×-6
a-48=-72
a=-72+48
a=-24
The number of accidents that occur
each day at a certain intersection along
with the corresponding probabilities are
shown.
Accidents
0
1
2.
3
4
Probability
.935
.03
.02
.01
.005
Find the expected number of accidents
each day.
Enter
Answer: 0.12
Step-by-step explanation:
The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:
= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)
= 0.12
Graph each figure on the coordinate plane. Then find the perimeter
#4:
A(-4,2), B(3,2), C(3,-5), D(-4,-5)
Perimeter:
units *
Your answer
Answer:
[tex]\boxed{\blue{ \sf Perimeter \ of \ the \ figure \ will \ be \ 28 units . }}[/tex]
Step-by-step explanation:
Given points to us are ,
[tex]\qquad A(-4,2) \\\qquad B(3,2)\\\qquad C(3,-5) \\\qquad D(-4,-5) [/tex]
For the graph refer to the attachment .
On plotting the graph we see that , it forms a shape of a square .
And , Distance between two points is 4 + 3 = 7 units .
And , the perimeter of square is given by ,
[tex]\qquad \boxed{\red{\sf Perimeter_{square}=4(side) }}[/tex]
[tex]\implies Perimeter_{square}=4(side) \\\\ \implies Perimeter= 4 \times 7 units \\\\\boxed{\pink{\tt \implies Perimeter_{square}=28 \:units . }}[/tex]
Hence the perimeter of the figure is 28 units .
Which polynomial is factored completely?
121 x squared + 36 y squared
(4x + 4)(x + 1)
2 x (x squared minus 4)
3 x Superscript 4 Baseline minus 15 n cubed + 12 n squared
9514 1404 393
Answer:
a, d
Step-by-step explanation:
We assume you want factors that use real integers.
a) 121x² +36y² . . . . cannot be factored using real numbers
b) (4x +4)(x +1) = 4(x +1)²
c) x(x² -4) = x(x -2)(x +2)
d) x⁴ -15n³ +12n² . . . . cannot be factored*
_____
* If the polynomial is n⁴ -15n³ +12n², then it factors as n²(n² -15n +12).
Answer:
its c on edge
Step-by-step explanation:
simplest form 3/56
Answer:
uh it's already simplest-
but ig you rounded to 6 decimal places
so it would be 0.053
Elena walked 12 miles. Then she walked 0.25 that distance. How far did she walk all together? Select all that apply. A: 12+0.25∙12 B: 12(1+0.25) C: 12∙1.25 D: 12∙0.25 E: 12+0.25
Answer:
Step-by-step explanation:
If Elena walk 12 miles, and then 0.25 that distance
0.25=1/4
12*1/4=3 miles is 1/4 of the distance
she walked in total 12+3=15 miles
choice A =12+12*1/4
Elena walked a total 12(1+0.25) distance.
What is a distance?The distance is the total movement of an object without any regard to direction.
First Elena walked 12 miles.
Then walked 0.25 or (1/4)th of 12 miles
i.e. 12 * (1/4) = 3
The total distance Elena walked is
12+3 = 15 miles or
12 + (1/4)*12 = 12(1+0.25)
Hence, 12(1+0.25) is the total distance walked by Elena.
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the amount of money you end up with after deductions and taxes is known as?
Answer: Net Income
The gross income is the amount of money you earn before taxes, deductions, etc. The net income is gross income minus those fees.
Net income = (gross income) - (fees)
Annika was having fun playing poker. She needed the next two cards dealt to be diamonds so she could make a flush (five cards of the same suit). There are 15 cards left in the deck, and five are diamonds. What is the probability that the two cards dealt to Annika (without replacement) will both be diamonds?
a. 13%
b. 29%
c. 33%
d. 10%
Answer:
d. 10%
Step-by-step explanation:
1. Information to know
15 cards left in the deck, and 5 are diamond, to find the probability of the next 2 cards being diamond, one has to find the probability of the 1st card as a diamond, and then multiply it by the probability of the 2nd card being a diamond.
Remember, probability is;
[tex]\frac{favorable-outcomes}{total-outcomes}[/tex]
2. Find probability 1
favorable out comes; diamond = 5
total outcomes; total cards = 15
probability is; [tex]\frac{5}{15}[/tex]
Simplified; [tex]\frac{1}{3}[/tex]
3. Finding probability 2
If the last card drawn was a diamond then the new numbers will be
favorable outcomes; 4
total outcomes; 14
Probability is; [tex]\frac{4}{14}[/tex]
Simplified; [tex]\frac{2}{7}[/tex]
4. Total probability
Now, one has to multiply the first probability by the second probability to find the probability of the event;
[tex]\frac{1}{3} * \frac{2}{7}[/tex]
= [tex]\frac{2}{21}[/tex]
= 0.095238
~10%
There are 6 times as many females as males on the maths course at university. What fraction of the course are male? Give your answer in its simplest form.
1. What is the slope of a line that goes through the points (3,5) and (8, 6)?
O 1/6
1/5
1/8
Answer:
1/5 that's what I think to
Four expressions are shown:
A. 10x + 6
B. 12x + 4
C. 2(5x + 3)
D. 2(6x + 2)
Which two expressions are equivalent to 2(5x + 2 + x)? (1 point)
A and C
B and D
A and D
B and C
Answer:
B and D
Step-by-step explanation:
Simplify the given expression as shown below:
2(5x+2+x)= 2(6x+2) = D
Also
2(6x+2) = (2×6x) + (2×2)= 12x + 4 = B
Hence Both B and D are equivalent to 2(5x+2+x)
– 1/4 × 2/5 + – 4/5 + – 3/4
Answer:
- 1/4 × 2/5 + - 4/5 + - 3/4 = -33
20
= -1 13
20
= -1.65
Step-by-step explanation:
Answer:
the answer iss...−1.65
Step-by-step explanation:
A steel cable consists of eight high-strength steel strands. The strength of each strand can be modeled by a lognormal random variable with a mean value of 50 kips and a coefficient of variation of 10%. What is the probability that the weakest strand will have a strength less than 40 kips?
Answer:
P(X< 40) = 0.014367
Step-by-step explanation:
From the given information:
Suppose X denotes the strength of each steel strand & X follows the lognormal distribution with a mean value [tex]\mu_x[/tex] = 50 kips & coefficient of variation CV = 10%
Using the formula for the coefficient of variation CV
[tex]cv = \dfrac{\sigma_x}{\mu_x}[/tex]
[tex]0.10 = \dfrac{\sigma_x}{50}[/tex]
[tex]\sigma_x = 50 (0.10)[/tex]
[tex]\sigma_x = 5[/tex]
By applying the mean and mean & variance from the lognormal distribution, we have:
[tex]\dfrac{\sigma_x^2}{\mu_x}= \dfrac{\{exp(2 \mu + \sigma^2)\} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}[/tex]
[tex]\dfrac{5^2}{50}= \dfrac{\{exp(2( \mu + \dfrac{\sigma^2}{2})) \} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}[/tex]
[tex]\dfrac{5^2}{50}= exp \{ 2 ( \mu + \dfrac{\sigma^2}{2}) - ( \mu + \dfrac{\sigma^2}{2}) \} \{ ( exp ( \sigma^2))-1 \}[/tex]
[tex]\dfrac{5^2}{50}=exp \{(\mu + \dfrac{\sigma^2}{2}) \} {(exp (\sigma^2))-1 \}[/tex]
[tex]\dfrac{5^2}{50}=50 \{ (exp (\sigma^2 )) -1 \}[/tex]
[tex]\dfrac{25}{50 \times 50 }= ( exp (\sigma^2 )) -1[/tex]
[tex]exp( \sigma^2) = \dfrac{25}{50 \times 50}+ 1[/tex]
[tex]exp( \sigma^2) = (\dfrac{25+2500}{2500 })[/tex]
[tex]exp( \sigma^2) =1.01[/tex]
[tex]\sigma^2 = In (1.01)[/tex]
[tex]\mathbf {\sigma^2 = 0.00995}[/tex]
However, the next process is to replace the value of [tex]\sigma^2[/tex] into the logman distributions mean.
[tex]\mu_x = exp ( \mu + \dfrac{\sigma^2}{2})[/tex]
[tex]50 = exp ( \mu + \dfrac{\sigma^2}{2})[/tex]
[tex]50 = exp ( \mu + \dfrac{0.00995}{2})[/tex]
[tex]In(50) = ( \mu + \dfrac{0.00995}{2})[/tex]
3.912023 = μ +0.004975
μ = 3.907048
Now, we know our mean to be 3.907048 and the variance to be 0.00995.
Therefore, the probability that the weakest strand will have a strength of fewer than 40 kips can be computed as follows:
P(X< 40) = P(In(x) < In(40))
[tex]P(X<40) = P(\dfrac{In(x) - \mu}{\sigma} < \dfrac{In(40) - \mu}{\sigma})[/tex]
since;
[tex]\sigma^2 = 0.00995 \\ \\ \sigma = \sqrt{0.00995} \\ \\ \sigma = 0.0998[/tex]
[tex]P(X<40) = P(Z < \dfrac{In(40) - 3.907048}{0.0998})[/tex]
P(X< 40) = P(Z < -2.18712)
Using the Excel formula =(=NORMDIST (-2.18712)
P(X< 40) = 0.014367
Rita has a rope 5 m long. She cuts it into 2 pieces of length 2 m 30 cm and 1 m 65 cm.
a. What is the total length of 2 pieces together?
explain plz
Answer:
3m 95cm
Step-by-step explanation:
its... simple math? i added 2 and 1; and 30 and 65?
When dividing a number what way the decimal move left or right
Q4)
AB and CD are parallel lines. EF and GH are straight lines. (3
Work out the size of angle x.
140
B
H Η
1500
D
F
Diagram not accurately drawn
Answer:
70 degrees
Step-by-step explanation:
i got a 30 degrees because its a straight line and 180-150=30
and same for 40 degrees
and 110 because its a triangle so inner angles have to add up to 180 so 180-(40+30)
70 = 1/2 of 360-(110+110)
You order pizza on Door Dash, It costs $39. You want to leave 20% tip. What is the tip?
help please i only have a few minutes will mark brainliest :)
Answer:
f(x)=-3x+9
Step-by-step explanation:
Solve 18.2 = y - 11 for y.
Answer:
29.2
Step-by-step explanation:
18.2+11=y
29.2=y..........
y = 29.2
Step-by-step explanation:
18.2 = y - 11
To solve the above equation, do the
following:
Collect like terms=>
18.2 + 11 = y
y= 29.2
Hope it helps!
Students majoring in psychology surveyed 200 of their fellow students about their dreams. The results of the survey are shown in the Venn diagram. Let B be the event that the participant dreams in black and white and let C be the event that the participant dreams in color.
What is the probability that a randomly selected participant dreams in black and white or color?
Answer:
0.13
Step-by-step explanation:
4/200=0.02 12/200=0.06 10/200=0.05
0/02+0.06+0.05=0.13
The probability that a randomly selected participant dreams in black and white or color is 0.13.
What is probability ?"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. "
Probability of all black = 4/200=0.02
Probability of all white = 12/200=0.06
Probability of all other color = 10/200=0.05
So, probability that a randomly selected participant dreams in black and white or color =0.02+0.06+0.05=0.13
Hence, the probability that a randomly selected participant dreams in black and white or color = 0.13
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Emilia conducted an experiment with Growing crystals. At the beginning of the experiment, she had a crystal that measured 6MM. She recorded the length every hour and notice that it increased by 12MM every hour. Emilia Task to the relationship between time and length of the crystal. Which towo ordered pairs are on Emilia's graph? (1,12) (2,30) (4,36) (5,66) (7,54)
Answer: (2,30), (5,66)
Step-by-step explanation: I truly don’t know if this is correct, but at the beginning, the crystal was already 6 mm. She then realized it increased 12 mm every hour, so if one hour passed, it would be 12+6= 18. Okay, so now that we know that, we multiple the hours by 12 and then add the 6.
12x2= 24
24+ 6= 30,
12x5= 60
60+6= 66