Given:
[tex]MZ\cong PZ[/tex]
[tex]m\angle MFZ=(x+9)^\circ[/tex]
[tex]m\angle PFZ=(2x-1)^\circ[/tex]
To find:
The measure of angle MFZ.
Solution:
In triangles MFZ and PFZ,
[tex]m\angle FMZ\cong \angle FPZ[/tex] (Right angle)
[tex]MZ\cong PZ[/tex] (Given)
[tex]FZ\cong FZ[/tex] (Common side)
[tex]\Delta MFZ\cong \Delta PFZ[/tex] (HL congruent postulate)
[tex]\angle MFZ\cong \angle PFZ[/tex] (CPCTC)
[tex]m\angle MFZ=m\angle PFZ[/tex]
[tex]x+9=2x-1[/tex]
[tex]9+1=2x-x[/tex]
[tex]10=x[/tex]
The value of x is 10.
The measure of angle MFZ is:
[tex]m\angle MFZ=(x+9)^\circ[/tex]
[tex]m\angle MFZ=(10+9)^\circ[/tex]
[tex]m\angle MFZ=19^\circ[/tex]
Therefore, the measure of angle MFZ is 19 degrees.
Find the measure of the angle, round to the nearest tenth: Cos Y = .5736
Answer:
Y ≈ 54.998°
Step-by-step explanation:
Cos Y = .5736
=> Y = [tex]cos^{-1}[/tex](.5736)
=> Y ≈ 54.998
If 1/2 inch represents 25 miles, how many miles are represented by 1 1/2 inches?
DF bisects EDG. Find FG. The diagram is not to scale. Show all steps.
Answer:
FG = 14
Step-by-step explanation:
The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.
This implies that:
n + 9 = 4n - 6
Collect like terms
n - 4n = -9 - 6
-3n = -15
Divide both sides by -3
n = -15/-3
n = 5
✔️FG = 4n - 6
Plug in the value of n
FG = 4(5) - 6
FG = 20 - 6 = 14
How many pints are in 5 gallons? Enter only a number. Do not include units.
The solution is____
Answer:
0 because it's purified water :)
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
answer is right there, you only asked for a number.
A typical tip in a restaurant is 15\% of the total bill. If the bill is $80, what would the typical tip be?
Answer:
$12
Step-by-step explanation:
15% is the same thing as 0.15. So we multiply 80*0.15 to get $12.
please help with this? (10points!)
Answer:
A is the answer
Step-by-step explanation:
ΔABC has the following angle measures:
∡A: 87° (reason: given)
∡B: 23° (reason: given)
∡C: 70° (reason: sum of all interior angles in a triangle is 180)
What is the probability of an indi individual scoring above 500 on the GMAT
Answer:
It depends on how much effort that you put in preparing and working on sample questions to write this exam. It takes continual time and dedication and cannot be hoped to be achieved/aced within a few hours.
A group of friends had 28 driveways to shovel. If one of them shoveled 1/4 of the driveways, how many driveways did he shovel.
Answer: 7
Step-by-step explanation:
Since we are given the information that a group of friends had 28 driveways to shovel and that one of them shoveled 1/4 of the driveways.
The number of driveways that he shovel will be:
= 1/4 × 28
= 7
Therefore, he shovel 7 driveways.
What is the area of the triangle?
Answer:
21
Step-by-step explanation:
Add 5.3 + 1.7 and you get 7 (7 is the base of the triangle). Multiply 7 by the height (6) and you get 42. When you put 2 triangles together, it will create a quadrilateral. "Cut the quadrilateral in half" and you will get your triangle's area. The area is 21 :)
Answer:
53.9 square units was my answer, but I learned that it was 21 !
2
Jerry flips a coin and rolls a six-sided die. What is the probability of getting heads on the coin and an odd number on the die?
A. 1/4
B. 1/2
C. 1/3
D. 1/12
What type of function is shown on the table?
A
Linear
B
Quadratic
с
Exponential
I need help with steps of solving this equation.
Answer:
x = {-1/5, 1}
Step-by-step explanation:
(5x - 2)² - 1 = 8
Add 1 to both sides
(5x - 2)² = 9
Take the square root of both sides
5x - 2 = ±3
------------------------------
Solution I for 5x - 2 = +3
5x - 2 = 3
add 2 to both sides
5x = 5
Divide both sides by 5
x = 1
------------------------------
Solution II for 5x - 2 = -3
5x - 2 = -3
add 2 to both sides
5x = -1
Divide both sides by 5
x = -1/5
-------------------------------
x = {-1/5, 1}
HELP!!!! Which expression is equivalent to
Answer:
The answer is the first option just cause i checked on calculator and boith equaled the same thing 3072
Step-by-step explanation:
YA
1. Here is a graph of y = p(x), represented
with a solid curve, and a set of data. Which
transformation of p best matches the set
of data?
13
pix)
14
3 A2 -
+
A. d(x) = P(x + 2) + 3
B. d(x) = P(x - 2) + 3
C. d(x) = P(x - 2) - 3
D. d(x) = P(x + 2) – 3
2. Which sequence of transformations takes the graph of y = k(x) to the graph of
y =-{k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of
B. Translate 1 to the left, scale vertically by , then reflect over the x-axis.
C. Translate left by ž, then translate up 1.
D. Scale vertically by ž, reflect over the y-axis, then translate up 1.
Answer:
C.
Step-by-step explanation:
a) The equation of graph of the transformation of function is given by the relation d ( x ) = p ( x - 2 ) + 3
b) The sequence of transformation is translate 1 to the left, scale vertically by 1/2 , then reflect over the x-axis.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as p ( x )
Now , the value of p ( x ) is
d ( x ) = p ( x - 2 ) + 3
The function is shifted 2 units to the right and 3 units up do match all the data points on the graph
b)
Let the parent function be y = k ( x )
Let the transformed function be y = -( 1/2 ) k ( x + 1 )
So , the series of transformation is given by
Translating 1 unit to the left , scale vertically by 1/2 , then reflect over the x-axis.
Hence , the transformed function is y = -( 1/2 ) k ( x + 1 )
To learn more about transformation of functions click :
https://brainly.com/question/26896273
#SPJ2
A 2-column table with 5 rows. Column 1 is labeled Evelyn's Scores with entries 125, 137, 138, 145, 145. Column 2 is labeled Distance from the Mean with entries x, y, 0, 7, z.
What is the mean absolute deviation of Evelyn’s scores?
5.1
5.6
5.8
7
Answer:
Column 1(X) Column 2(mean - X)
125 -13
137 -1
138 0
145 7
145 7
Mean = 138
Mean Absolute Deviation : 5.6
Answer:
for all the lazy readers on top the answer is.. B. 5.6:)
Step-by-step explanation:
Can someone help me please
Answer:
12
Step-by-step explanation:
1:3 multiply them by 4 for 4 juice cans
Answer:
The answer would be A, 12.
Step-by-step explanation:
The ratio of juice to water is 1:3. 1 being the amount of juice, and 3 being the amount of water. If Maria used 4 cans of juice, that makes the new ratio 4:w. W can stand for the amount of water. 1x4=4 so we can multiply 3x4=12.
Mark brainliest please! :)
hellpppppppppspspspspspspsp
I'd say 13, hope this helps
Step-by-step explanation:
swag on ha dragga dab dab dab
Answer:
8 1/2
Step-by-step explanation:
Find the diameter of each circle.
answer:
2. 10 km
4. 20 km
step-by-step explanation:
multiply the radius by 2 to find the diameter2 — 5 X 2 = 10 km
4 — 10 X 2 = 20 km
Daud and Jerry share 30 durians. Daud gets 6 durians more than Jerry. Find the number of durians received by
Daud and Jerry respectively.
A person invested $790 in an account growing at a rate allowing the money to double every 13 years. How much money would be in the account after 30 years, to the nearest dollar?
Answer:
1580
Step-by-step explanation:
i don't really have an explanation
reduce the fraction 512/128 into the simplest form.
Answer:
Therefore, 512/128 simplified to lowest terms is 4/1.
Step-by-step explanation:
Reduce 512/128 to lowest terms
The simplest form of
512
128
is
4
1
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 512 and 128 is 128
Divide both the numerator and denominator by the GCD
512 ÷ 128
128 ÷ 128
Reduced fraction:
4
1
Therefore, 512/128 simplified to lowest terms is 4/1.
pythagorean theorem!! round to the nearest tenth ..
Answer:
24
Step-by-step explanation:
We are given a leg and the hypotenuse, and we can put what we have into the pythagorean theorem formula:
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
b^2 = 576
b = 24
what is the perimeter of a rectangle with a length of 9-2y and width of 7
Answer:
perimeter = 32-4y
Step-by-step explanation:
perimeter = 2(length +width)
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
8.2
Step-by-step explanation:
a^2+b^2=c^2
7.6*7.6=57.76
3.2*3.2=10.24
57.76+10.24=68
square root of 68= 8.2
What is the surface area
Answer:
42cm
Step-by-step explanation:
Answer:
[tex]10 \times 5 = 50 \\ because \: a there \: are \: three \: of \: them \: we \: need \: to \: = \\ 50 \times 3 = 150 \\ for \: triangles = \\ 4 \times 5 \div 2 = 20 \div 2 = 10 \\ as \: far \: as \: we \: have \: two \: triangles = \\ 10 \times 2 = 20 \\ 20 + 150 = 170 \\ the \: surface = 170[/tex]
For the purpose of determining the value of its end-of-year inventory, a clothing store creates a list at the end of the year of every item currently in stock along with each item's wholesale price. Which of the following is the best description of the end-of-the-year activity?
a. An experiment, because the items are treatments and wholesale prices are responses.
b. An experiment, because the store does not know the total wholesale price of all the items.
c. A sample survey, because the store wants to estimate the value of all items for the entire year.
d. A sample survey, because the items currently in the store at the end of the year are a random sample of all items in the store for the entire year.
e. A census, because the wholesale prices of all items are listed.
Answer:
e. A census, because the wholesale prices of all items are listed.
Step-by-step explanation:
A census encompasses collecting data of an entire population as well evaluation of the characteristics of an entire population. Every item currently in store alongside their wholesale price was included in the survey here. None was excluded. So we cannot call the activity a sample survey. Since all items were counted, the best description to give to this activity is "a census".
Learning Task No.2
A. Find the missing terms and write the rules.
1. 5,6,8,15
2. 18,20,24_38
3. 14, 17, 20,23,
4. 24, 30, 36, 42,
5. 1, 10, 100,
Answer:
See Explanation
Step-by-step explanation:
Required
Complete the term and identify the rule
[tex](a)\ 5, 6, 8, [], 15[/tex]
We have:
[tex]5 + 1 = 6[/tex]
[tex]6 + 2 = 8[/tex]
[tex]8 + 3 = 11[/tex] --- Missing term
[tex]11 + 4 = 15[/tex]
The rule is:
Add current term to the position of term
i.e.
[tex]T_{n+1} = T_n + n[/tex]
[tex](b)\ 18, 20, 24, [], 38[/tex]
We have:
[tex]18 + 2*1 = 20[/tex]
[tex]20 + 2*2 = 24[/tex]
[tex]24 + 2 * 3 = 30[/tex] --- Missing term
[tex]30 + 2 * 4 = 38[/tex]
The rule is:
Add current term to twice the position of term
i.e.
[tex]T_{n+1} = T_n + 2 *n[/tex]
[tex](3)\ 14, 17, 20, 23, [][/tex]
We have:
[tex]14 + 3 = 17[/tex]
[tex]17 + 3 =20[/tex]
[tex]20 + 3 = 23[/tex]
[tex]23 + 3 = 26[/tex] --- Missing term
The rule is: Add 3
i.e.
[tex]T_{n+1} = T_n + 3[/tex]
[tex](4)\ 24, 30, 36, 42, [][/tex]
We have:
[tex]24 + 6 = 30[/tex]
[tex]30 + 6 = 36[/tex]
[tex]36 + 6 = 42[/tex]
[tex]42 + 6 = 48[/tex] --- Missing term
The rule is: Add 6
i.e.
[tex]T_{n+1} = T_n + 6[/tex]
[tex](5)\ 1, 10, 100[/tex]
We have:
[tex]10^0 = 1[/tex]
[tex]10^1 = 10[/tex]
[tex]10^2 = 100[/tex]
[tex]10^3 = 1000[/tex] -- Missing term
The rule is: 10 to the power of current position
i.e. [tex]T_n = 10^n[/tex]
In the figure below, UV is best described as _____.
Answer:
Segment
Step-by-step explanation:
Its only part of the line.
Answer:
The answer is ray
Step-by-step explanation:
How many centimeters will Kristen have left to knit when Edie has 12 centimeters left to knit?
Enter your answer in the box.
Answer:
D ; 15 cm
Step-by-step explanation:
The graph which matches the distribution of the data is D. This can be known by visually pairing Kristen's data on the y-axis to Eddie's data on the x - axis.
The Numbe rof centimeters Kristen has left to knit when Eddie has 13 cm is about 15 cm. This can be obtained by tracing the poi t 12 upward and tracing its intersection with the best fit line to the y-axis.
Answer:
D ; 15 cm
Step-by-step explanation:
The graph which matches the distribution of the data is D. This can be known by visually pairing Kristen's data on the y-axis to Eddie's data on the x - axis.
The Numbe of centimeters Kristen has left to knit when Eddie has 13 cm is about 15 cm. This can be obtained by tracing the poi t 12 upward and tracing its intersection with the best fit line to the y-axis.