Answer:
1. ∠C ≅ ∠B by definition of congruency
2. m∠Y by definition of obtuse angle
3. ∠C ≅ ∠A by definition of congruency
4. ∠N and ∠P are complementary angles by definition of complementary angles
Step-by-step explanation:
1. The given parameters are;
Statement [tex]{}[/tex] Reason
ΔABC is a right triangle [tex]{}[/tex] Given
∠A is a right angle [tex]{}[/tex] Given
m∠B = 45° [tex]{}[/tex] Given
m∠A + m∠B + m∠C = 180° [tex]{}[/tex] Sum of interior angles of a triangle
m∠C = 180° - (m∠A + m∠B) [tex]{}[/tex]
m∠C = 180° - (90° + 45°) = 45° [tex]{}[/tex] Substitution property
m∠C = 45° = m∠B [tex]{}[/tex] Substitution property
∠C ≅ ∠B [tex]{}[/tex] Definition of congruency
2. Statement [tex]{}[/tex] Reason
m∠X = 4·a + 2 [tex]{}[/tex] Given
m∠Y = 21·a + 3 [tex]{}[/tex] Given
∠X and ∠Y are linear pair [tex]{}[/tex] Given
m∠X + m∠Y = 180° [tex]{}[/tex] Sum of angles of linear pair
4·a + 2 + 21·a + 3 = 180° [tex]{}[/tex] Substitution property
25·a + 5 = 180° [tex]{}[/tex]
a = (180 - 5)/25 = 7
m∠Y = 21 × 7 + 3 = 150° [tex]{}[/tex] Substitution property
m∠Y = 150° > 90
m∠Y is an obtuse angle [tex]{}[/tex] Definition of obtuse angle
3. Statement [tex]{}[/tex] Reason
∠A and ∠B are complementary angles [tex]{}[/tex] Given
∠A + ∠B = 180° [tex]{}[/tex] Definition of complementary angles
∠B and ∠C are complementary angles [tex]{}[/tex] Given
∠B + ∠C = 180° [tex]{}[/tex] Definition of complementary angles
∠B + ∠C = ∠A + ∠B [tex]{}[/tex] Transitive property
∠C = ∠A [tex]{}[/tex] Reverse of addition property of equality
∠C ≅ ∠A [tex]{}[/tex] Definition of congruency
4. Statement [tex]{}[/tex] Reason
ΔMNP is a right triangle [tex]{}[/tex] Given
∠M is a right angle [tex]{}[/tex] Given
∠M + ∠N + ∠P = 180° [tex]{}[/tex] Sum of interior angles of a triangle
∠N + ∠P = 180° - ∠M [tex]{}[/tex] Subtraction property of equality
∠N + ∠P = 180° - 90° = 90° [tex]{}[/tex] Substitution property of equality
∠N + ∠P = 90° [tex]{}[/tex] Substitution property of equality
∠N and ∠P are complementary angles [tex]{}[/tex] Definition of complementary angles.
The figure shows two parallel lines cut by a transversal.
124°
(4x – 8°
Given: 2n=m+h, h=n+m; prove n=2m
An equation is formed of two equal expressions. n=2m can be proved by solving the two of the given equation for h and then equating them together as shown below.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two equations, 2n=m+h, and h=n+m. Now, solve the two of the equations for h as shown below.
Equation 1.
2n = m + h
2n - m = h
h = 2n - m
Equation 2.
h = n + m
Further, equate the value of h from both the equation,
h = h
2n - m = n + m
Bring the like terms on the same side of the equation,
2n - n = m + m
n = 2m
Hence, proved n=2m.
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What is 650 + 1764(98)?
Answer:
173522
Step-by-step explanation:
1764(98) is 172872. Then add 650, giving you 173522.
Answer:
173522
Step-by-step explanation:
The Doritos are $4.50 on sale. There are 15 oz in a bag. So, how much is 1 oz Of Doritos?
m∠6 = (10x + 8)?plz helppppp:)
SOMEONE PLEASE ACTUALLY HELP ME!!!!
Answer:
with what do u need help with?
Answer:
it just asks for help i dont see an attachment or screenshot
Step-by-step explanation:
Mrs. Barron's kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 8 inches and 6 inches. The scale of the drawing is LaTeX: \frac{1}{2}1 2inch = 1 foot. What is the perimeter of Mrs. Barron's actual kitchen? Group of answer choices
Answer:
48
Step-by-step explanation:
7 inches = 14 feet
There are 14 halves in 7 inches.
5 inches = 10 feet
There are 10 halves in 5 inches
14+14+10+10=48
write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.
у вас всё правильно вы молодцы
A line contains the point (2 , 1) and has a slope of -2. What is the equation of the line?
please help
Answer: y=-2x+5
Step-by-step explanation:
Answer:
The answer would be y=-2x+5
Step-by-step explanation:
hope this helped :)
The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.
Answer:
103 at most and 87 at least
Step-by-step explanation:
95-8=87 seeds
95+8=103 seeds
Answer with step-by-step explanation:
Max: 25 + 3 = 28
Min: 25 - 3 = 22
Hope this helped!
. a) Divide Rs 84 in 1:2 ratio.
Answer:
28 and 56
Step-by-step explanation:
let the numbers be x and 2x
x+2x= 84
or,3x=84
therefore, x=24
and
2x=2×28=56
Create a one step equation using the numbers 4 and 6. One you create the
equation, solve it and find the solution.
Answer:
x=1.5
Step-by-step explanation:
4x=6
6/4=1.5
What is the equation of the line perpendicular to line l and passes through the origin?
Answer:
bruh add a picture
Step-by-step explanation:
Wyatt invested $1,600 in an account paying an interest rate of 52% compounded
annually. Joshua invested $1,600 in an account paying an interest rate of 47%
compounded quarterly. After 17 years, how much more money would Wyatt have in
his account than Joshua, to the nearest dollar?
Answer:
\$ 329
$329
Step-by-step explanation:
After 17 years, Wyatt has $ 856329.9 more money as compared to Joshua.
To understand more, check below explanation.
Compound interest:Given that,
Wyatt invested $1,600 in an account paying an interest rate of 52% compounded annually.
Wyatt amount after 17 years is computed as,
[tex]Amount=1600*(1+\frac{52}{100} )^{17}\\\\Amount=\$ 1974517.5[/tex]
Joshua invested $1,600 in an account paying an interest rate of 47%
compounded quarterly.
Joshua amount after 17 years is computed as,
[tex]Amount=1600*(1+\frac{47}{100} )^{17}\\\\Amount=\$ 1118187.6[/tex]
Wyatt have more money as compared to Joshua,
1974517.5 - 1118187.6 = $ 856329.9
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Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. If 2/5 of the caramel apples are covered in sprinkles,
how many caramel apples will have sprinkles?
HELKPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPIHUJGYJUH
Answer:
B
Step-by-step explanation:
the hundredths place is the 5 written as 0.05 and the 4 is written as 0.004 meaning it needs to be changed to thousandths not hundredths.
What is 6+6+2
need to actually ask something to give away points or the bots will report lol
Answer:
14
Step-by-step explanation:
because 6+6 is 12 and add 2 is 14
Simplify
81
100
nswer
are irrational numbers intergers
Answer:
No they are not intergers
Step-by-step explanation:
Hope this helps
find the value of x. Please help.!!
Need to show work.
Answer:
(x-54)° + 2x° + 99° = 360
=> x + 2x + 99 – 54 = 360
=> 3x + 45 = 360
=> 3x = 360 – 45
=> x = 315/3
=> x = 105
The value of x is 105
idkkk what it is I accidentally pressed a
The inequality will be x ≥ 2.
What is an inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given is an inequality, 4x - 3 ≥ 5,
We need to solve for x,
4x - 3 ≥ 5
Add 3 to both sides,
4x - 3 + 3 ≥ 5 + 3
4x ≥ 8
Divide the inequality by 4,
4x / 4 ≥ 8 / 4
x ≥ 2
Hence the inequality will be x ≥ 2.
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!!!BRAINY AND 10 PTS!!!
Answer:
Top left
Step-by-step explanation:
5(-2/3) this is it and I don’t know it
Answer:
4 1/3
Step-by-step explanation:
hope this helps!
Answer:
I'm assuming it's asking to simplify, so if that's the case, then you multiply the numerator by 5 and get 5(-2/3)= -10/3.
Look at the picture plz solve for (x) please and ty
Answer:
x=68
Step-by-step explanation:
Five sides means the shape is equal to 540 degrees. So set up an equation that is equal to 540 degrees.
540=(2x-2)+(x-10)+(x+8)+(3x)+(x)
Take off the parentheses because there's nothing to simplify with them.
540=2x-2+x-10+x+8+3x+x
Then you simplify and get.
540 =8x-4
Then get x alone.
8x=544
Divide each side by 8 to get x alone
x=68
*I would recommend you to check my work, but I think this is it.
Convert 8 days into months. Round your answer to the nearest hundredth.
Answer:
8 days to a month is 0.26 months
Step-by-step explanation:
I'm not sure (Mark this as Brainliest)
The number of months when 8 days are converted into months will be 0.27.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
We know that in 1 month, there are 30 days.
Divide the number 8 by 30, then we have
⇒ 8 / 30
⇒ 0.27
The number of months when 8 days are converted into months will be 0.27.
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HELP PLS HOW DO U DO THIS
Answer:
10
Step-by-step explanation:
1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.
Answer:
10
Step-by-step explanation:
24 ÷ 3 = 8 so one third is 8
24 ÷ 4 = 6 so one fourth is 6
8 + 6 = 14 (14 people brought drinks or dessert)
24 - 14 = 10
ten people brought chips.
Which statement about residual plots is not true?
A. if the residuals are randomly distributed, the model is probably reasonable
B. The sum of the residuals is 0
C. The vertical axis shows residuals
D. The horizontal axis shows the predicted y-values
Answer:
The horizontal axis shows the predicted y-values.
Step-by-step explanation:
The person above me is dumb, he's cancelled.
Answer:
D
Step-by-step explanation:
_k-1_ how do i solve this plz help
=10
2
Answer:
k = 21
Step-by-step explanation:
pic below................
Answer:
1st step - parenthesis 3-9= -6, so the equation is now 2+ (-6) / -3 *4
2nd step - division- -6/-3 = 2 , so the equation is now 2 + 2 * 4
3rd step - multiplication - 2*4 = 8 so the equation is now 2+8
4th step addition- 2 + 8 = 10
Final answer 10
Step-by-step explanation:
Anne made a recipe for miniature bread loaves that called for StartFraction 7 Over 8 EndFraction of a cup of whole-wheat flour. If the recipe made 7 equal-sized loaves of bread, how many cups of whole-wheat flour did each loaf contain?
Answer:
1/8 of a cup
Step-by-step explanation:
The total amount of flour used in the recipe was 7/8 of a cup.
The recipe made 7 loaves. Each loaf has 1/7 of the total amount of flour.
1/7 * 7/8 = 1/8
Answer: 1/8 of a cup
Answer:
1/8
Step-by-step explanation:
