Answers
Answer/Step-by-step explanation:
Since ∆PHS ≅ ∆CNF, therefore:
<P ≅ <C,
<H ≅ <N
<S ≅ <F
Thus:
Since, <P ≅ <C, therefore,
36° = (4z - 32)°
36 = 4z - 32
Add 32 to both sides
36 + 32 = 4z
68 = 4z
Divide both sides by 4
68/4 = z
17 = z
z = 17
Since <H ≅ <N, therefore:
6x - 29 = 115°
Add 29 to both sides
6x = 115 + 29
6x = 144
Divide both sides by 6
x = 114/6
x = 24
m<F + m<C + m<N = 180° (sum of ∆)
(3y - 1) + (4z - 32) + 115 = 180 (substitution)
Plug in the value of z and solve for y
3y - 1 + 4(17) - 32 + 115 = 180
3y - 1 + 68 - 32 + 115 = 180
3y + 150 = 180
Subtract 150 from both sides
3y = 180 - 150
3y = 30
y = 10
The value of x, y and z are 24, 10 and 17 respectively.
PHS≅CNF
Therefore,
∠P ≅ ∠C
∠H ≅ ∠N
∠S ≅ ∠F
36 = 4z - 32
36 + 32 = 4z
4z = 68
z = 68 / 4
z = 17
6x - 29 = 115
6x = 115 + 29
x = 144 / 6
x = 24
3y - 1 = 180 - 115 - (4z - 32)
3y - 1 = 180 - 115 - 4z + 32
3y - 1 = 97 - 4(17)
3y - 1 = 29
3y = 30
y = 30 / 3
y = 10
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Related Questions
The proof that ΔQPT ≅ ΔQRT is shown. Given: SP ≅ SR Prove: ΔQPT ≅ ΔQRT Triangle P Q R is shown. Angle P Q R is cut by a perpendicular bisector to form midpoint T on side P R. Point S is on line Q S. Lines are drawn from points P and R to point S. Line segments P S and S R are congruent. What is the missing reason in the proof? Statements Reasons 1. SP ≅ SR 1. given 2. ST ⊥ PR 2. converse of the perpendicular bisector theorem 3. PT ≅ RT 3. ? 4. QT ⊥ PR 4. ST and QT name the same line. 5. QP ≅ QR 5. perpendicular bisector theorem 6. ΔQPT ≅ ΔQRT 6. HL theorem definition of perpendicular bisector definition of congruence reflexive property substitution property
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Answer:
Answer is a
Step-by-step explanation:
Edg 2020
Answer:
Step-by-step explanation:
i think the answer is a
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Answer:
19
Step-by-step explanation:
57 divided by 3 is 19
Answer:
57 divided by 3 is 19
Step-by-step explanation:
The expression 18a-12 factored is
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Answer:
6(3a-2)
Step-by-step explanation: Both terms have a 6. Factor that our
Solve by substitution. Please help ASAP
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16 factory workers made 40 pieces in a certain amount time
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Answer:
10 but im notr really sure
Step-by-step explanation:
In manufacturing a medical equipment, a firm incurs costs of two types. Fixed annual costs of $ 155,000 are incurred regardless of the number of units produced. In addition, each unit produced costs the firm $5. If C equals total annual cost in dollars and x equals the number of units produced during a year;
a) Develop the function C = f(x) which expresses annual cost.
b) Calculate f(280,000)? What does f(280,000) represent?
c) State the restricted domain and restricted range of the function if maximum production capacity is 850,000 units per year
Answers
thanks for your question
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Answers
Answer:
1. a || b ------ Given
2. m<6 = ⅛m<4 ------- Given
3. m<6 + m<4 = 180 ------- Supplementary Angles
4. m<6 + 8<m6 = 180 ---- Substitution
5. m<6 = 20; m<4 = 160 ----- Algebra
Step-by-step explanation:
Required
Fill in the gaps
1. a || b ------ Given
From the question, we understand that m<6 is ⅛ of m<4. This answers (2) as follows:
2. m<6 = ⅛m<4 ------- Given
From the attached figure, m<6 and m<4 are supplementary angles and they add up to 180. So:
3. m<6 + m<4 = 180 ------- Supplementary Angles
In (2): m<6 = ⅛m<4
Multiply both sides by 8
8 * m<6 = 8 * ⅛m<4
8m<6 = m<4
So, substitute 8m<6 for m<4 in (3). This gives (4)
4. m<6 + 8<m6 = 180 ---- Substitution
Solve (4) algebraically,
9m<6 = 180
Multiply both sides by ⅑
⅑ * 9m<6 = ⅑ * 180
m<6 = 20
Recall that m<4 = 8m<6
So:
m<4 = 8 * 20
m<4 = 160
Hence, (5) is
5. m<6 = 20; m<4 = 160 ----- Algebra
Emma wants to enlarge a square photo and print it to a square canvas. The side
length of the canvas is 12 in. The scale from the canvas to the photo is 4 in. to 1 in.
What is the side length of Emma's photo? Show your work.
Answers
The side length of the photo will be 3 inches.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Emma wants to enlarge a square photo and print it on a square canvas.
The side length of the canvas is 12 in.
The scale from the canvas to the photo is 4 in. to 1 in.
Let a be the side length of the photo.
Then the side length of the photo will be
a = 12/4
a = 3 inches
More about the dilation link is given below.
https://brainly.com/question/2856466
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factor the following expression 14x + 49
Answers
Answer:
7(2x +7)
Step-by-step explanation:
The GCF is 7 therefore you factor out the GCF (write the GCF first then divide each term by 7
7(14x/7 + 49/7)
So that would give you: 7(2x+7)
Find the slope of every line that is perpendicular to the graph of the equation:
y-5x=7
Answers
Answer:
[tex]m=-\frac{1}{5}[/tex]
Step-by-step explanation:
the movie theatre, 65 student tickets were sold for one performance.
a) The ratio of adult tickets sold to student tickets sold was 3:5, how
many adult tickets were sold?
Answers
Answer:
39 ADULT tickets
Step-by-step explanation:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39
Someone help me solve this please, I'd appreciate it if you can walk me through the steps. If not, just answering it is okay! :)
Answers
X
Step-by-step explanation:
Multiply by reciprocal: [tex]\frac{x}{6} *\frac{6}{1} =\frac{6x}{6} =x[/tex]
[tex] \Large{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]
Here we have to simplify:
[tex] \rm{ \dfrac{x}{6} \div \dfrac{1}{6} }[/tex]So, we know that:
Dividing a fraction by another fraction is the same as multiplying the fraction by the reciprocal (inverse) of the other.
By using this,
➝ [tex] \rm{ \dfrac{x}{6} \times 6}[/tex]
➝ [tex] \rm{x}[/tex]
The correct answer is Option (A)
daisy breeds locusts . how many 5kg bags of food will she need to last four weeks if her locusts eat 1kg of food a day ?
Answers
Answer:
28
Step-by-step explanation:
7 bags for 7 days, times 4 weeks = 28 bags.
and what psychopath BREEDS LOCUSTS?!
theres a freaking locust plague in different countries you know T^T
Determine the number of real solutions of the given function.
Answers
Answer:
I believe it would be A
Step-by-step explanation:
I couldnt find any solutions
Answer:
I think its B because my answer is: x1= -√2+3
x2= √2+3
an 8cm cube is cut into several small cubes of edge 2cm.how many cubes are formed???
Answers
Help
Give the equation for this line in
slope-intercept form.
slope = 5, y-intercept = 12
y = [?]x + [ ]
Answers
Answer:
y = 5x + 12
Step-by-step explanation:
hope this helps good luck!
Chocolate chip cookies call for 3 1/4 cups of sugar for 2 1/2 batches. To make 1 1/4 batches of peanut butter cookies you need 1 3/4cups of sugar. Which type of cookie requires more sugar per batch
Answers
Answer:
=peanut butter cookie batches require more sugar
Step-by-step explanation:
chocolate chip cookies:
3 1/4 / 2 1/2
7 / 5 = 7 x 2 = 7 cups
4 2 4 5 10
peanut butter cookies:
1 1/4 / 1 3/4
5 / 7 = 5 / 4 = 5 cups
4 4 4 7 7
compare cups
7 , 5 = 49 , 50
10 7 70
=50 = 5 = peanut butter cookie batches require more sugar
70 7
Simplify the following: (b^4)^6 (b to the fourth all to the sixth power)
Answers
I need help with this please
Answers
9514 1404 393
Answer:
(-2, -8)
Step-by-step explanation:
The translation vector is added to the coordinates of point Q to get the translated point's coordinates:
Q' = Q + (2, -5)
Q' = (-4, -3) +(2, -5) = (-4+2, -3-5)
Q' = (-2, -8)
125 is what percent of 50?
Answers
Answer:
250%
Step-by-step explanation:
For this equation we have to use the percent composition formula. It is as follows:
[tex]\frac{part}{whole} *100 = percent[/tex]
Now, we plug in the numbers given in the equation. 125 being the part and 50 being the whole.
[tex]\frac{125}{50} *100 = 250[/tex]
Therefore, 125 is 250% of 50.
Hope this helps!!
- Kay :)
The percentage of 125 in whole quantity 50 is, 250%
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
To find what percentage 125 is of 50, we first need to convert the ratio of 125 to 50 into a decimal and then convert the decimal into a percentage.
The ratio of 125 to 50 can be expressed as a fraction: 125/50. We can convert this fraction to a decimal by dividing the numerator by the denominator:
⇒ 125/50
⇒ 2.5
Next, we convert the decimal to a percentage by multiplying it by 100 and adding the percent symbol:
⇒ 2.5 x 100
⇒ 250%
So, 125 is 250% of 50. This means that 125 is equal to 250% of the value of 50.
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What is the solution set for StartAbsoluteValue y minus 9 EndAbsoluteValue less-than-or-equal-to 12:A?
y greater-than-or-equal-to 3 or y less-than-or-equal-to 21
Negative 3 less-than-or-equal-to y less-than-or-equal-to 21
y greater-than-or-equal-to negative 3 or y less-than-or-equal-to 21
3 less-than-or-equal-to y less-than-or-equal-to 21
Answers
Using the absolute value concept, it is found that the solution is:
[tex]-3 \leq y \leq 21[/tex]Which is given by the second option.---------------------------------
The absolute value of a point, or of a function, measures it's distance to the origin.The inequality given by:
[tex]|y - 9| \leq 12[/tex]
The distance to the origin is of at most 12 between -12 and 12, thus:[tex]-12 \leq y - 9 \leq 12[/tex]
We have to solve both inequalities, and find the intersection.[tex]-12 \leq y - 9[/tex]
[tex]-y \leq 3[/tex]
[tex]y \geq -3[/tex]
[tex]y - 9 \leq 12[/tex]
[tex]y \leq 21[/tex]
The intersection is values of y between -3 and 21(and logical operator, not or), inclusive, thus: [tex]y \geq -3[/tex] and [tex]y \leq 21[/tex], that is: [tex]-3 \leq y \leq 21[/tex]A similar problem, involving absolute value, is given at https://brainly.com/question/24734454
Answer:
B: -3 ≤ y ≤21
Step-by-step explanation:
WILL MARK BRAINIEST!!!
What is the principal square root of 100?
10
50
O 200
0 10,000
Answers
Answer: 2√100=√100=±10
Step-by-step explanation: this is how you write it
Answer:
The square root of 100: 10
Step-by-step explanation:
help i wiil biran list you
Answers
write the equation of the line that passes through the points (-3,4) and (-4,2). Write the final answer in slope intecept form
Answers
Answer:
The equation in the slope-intercept form will be:
[tex]y=2x+10[/tex]
Step-by-step explanation:
Given the points
(-3, 4)(-4, 2)Finding the slope between two points
[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-4,\:2\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2-4}{-4-\left(-3\right)}[/tex]
[tex]m=2[/tex]
As the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
putting the values m=2 and the point (-3, 4)
[tex]y-4=2\left(x-\left(-3\right)\right)[/tex]
[tex]y-4=2\left(x+3\right)[/tex]
Writing the equation in slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept
so the equation becomes
[tex]y-4=2\left(x+3\right)[/tex]
add 4 to both sides
[tex]y-4+4=2\left(x+3\right)+4[/tex]
[tex]y=2x+10[/tex]
Therefore, the equation in the slope-intercept form will be:
[tex]y=2x+10[/tex]
A person runs 1 4/5 miles in 1/5 of an hour determine how many miles they are running per hour
Answers
9/5 * 5/1 = 45/5 = 9 miles
Answer:
Step-by-step explanation: There are different methods to solve this, but I chose to change these into decimals- 1.8 and .20, to make it easier. Since miles per hour is speed, and speed is distance divided by time, all you have to do is fill in the blanks.
Since 1.8 / .20= 9, the answer is 9 miles per hour.
To take it a step farther, you could multiply this by any number of hours, or convert it to minutes. For example, to figure out how far they'd get in 10 minutes, I could divide the unit rate by 60, since there are 60 minutes in an hour, and get 0.15. So, in 10 minutes, they'd get 0.15 miles away.
Just in the mood for math, ig.
Ew, did I just say that? >.<
Use mathematical induction to prove that the statement is true for every positive integer n.
7+49+343+...+7↑n= 7↑n+1-7/6
PLZ HELP ME
Answers
Answer:
3x-4v
it is because of me
A state lottery game requires that you pick 6 different numbers from 1 to 44. What is the probability of picking exactly 3 of the 6 numbers correctly?
Answers
Answer:
Step-by-step explanation:
This would be a sequence of events therefore, in order to calculate this you would simply need to multiply together the probability of each event happening seperately. The probability of getting a correct number is 1/44 while the probability of getting an incorrect number is 43/44. Therefore, since we need to find the probability of getting only 3 out of the six correct we would multiply the following.
[tex]\frac{1}{44} * \frac{1}{44} * \frac{1}{44} * \frac{43}{44} *\frac{43}{44} *\frac{43}{44} =[/tex] 0.000001095 or [tex]\frac{79,507}{7,256,313,856}[/tex]
Which of the following is a function equivalent to f(x) = 5(1.9)3x? (5 points)
f(x) = 34.29x
f(x) = 5(6.86x)
f(x) = 5(6.86)x
f(x) = 328.51x
Answers
Answer:
The answer is c!
Step-by-step explanation:
I got this right on the test. :)
HELP ME PLEASE!!
Which equation describes this line!!
Answers
Answer:
Option A: y-9=2(x-1)
Step-by-step explanation:
Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)
The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.
Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)
B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)
C and D are wrong because the points aren't crossed through
which statement about 4x-5 is true??????
A. there are two variables in 4x - 5
B. 5 is the coefficient of x
C. 4x is a term in 4x - 5
D. 4x - 5 is a product