name two pairs of congruent angles in the figure. Justify the answer. help please!
Answers
Answer: a. <aib & <bic
Step-by-step explanation: because those two angles are both 45 degrees, meaning they are congruent.
In the given options, there are two pairs of congruent angles in the figure. They are ∠AIB and ∠BIC according to the Equal Complements Theorem. ;∠AIC and ∠BID according to the Right Angles Congruent Theorem. Option a and c is the correct answer.
Congruent angles are angles that have the same measure. In other words, if two angles are congruent, it means that they have the same degree of rotation or the same amount of opening between their sides. Option a and c is the correct answer.
1. ∠AIB and ∠BIC according to the Equal Complements Theorem. The Equal Complements Theorem states that if two angles are complementary to the same angle (or congruent angles), then they are congruent to each other. In the figure, both ∠AIB and ∠BIC are complementary to angle ∠BIC. Therefore, according to the Equal Complements Theorem, ∠AIB and ∠BIC are congruent angles.
2. ∠AIC and ∠BID according to the Right Angles Congruent Theorem. The Right Angles Congruent Theorem states that all right angles are congruent. In the figure, both ∠AIC and ∠BID are right angles. Therefore, according to the Right Angles Congruent Theorem, ∠AIC and ∠BID are congruent angles. Therefore, the correct pairs of congruent angles in the figure are ∠AIB and ∠BIC, as well as ∠AIC and ∠BID.
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Related Questions
Find the measure of the angle indicated in bold (7x + 10)
Also can you explain how you got the answer
Answers
Answer:
80°
Step-by-step explanation:
8x = 7x + 10
They are alternate(different sides of the intersecting or transversal line) interior(inside the two parallel lines)angles
alternate interior angles
8x = 7x + 10
x = 10
7(10) + 10 = 80
If my answer is incorrect, pls correct me!
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-Chetan K
(b+a)^2 ÷4 ; use a=-2, and b=4
Answers
Answer:
1
Step-by-step explanation:
(b + a)² ÷ 4 when a = -2 and b = 4
~Substitute
(4 + (-2))² ÷ 4
~Simplify
2² ÷ 4
4 ÷ 4
1
Best of Luck!
Answer:
1
Step-by-step explanation:
it is above in the photo.
anyone know this question: 16) -8(-21 - 2) - 6
Answers
Answer:178
Step-by-step explanation:
distribute, multiply -8 with - 21 and -2 . that would get you 168 + 16 - 6. add the 168 and 16, it equals 184, then subtracts it with a 6.
a bank account balance for an account with an initial deposit of p dollars earns interest at an annual rate of r . the amount of money in the account after n years is described using the following expression p (1+r)n what effect if any does decreasing the value of r have on the amount of money after n years?
Answers
Answer:
Step-by-step explanation:
For the same exponent n and 1 < a < b we have
[tex]a^n < b^n[/tex]
Now if we decrease the r the value then 1 + r will also decrease.
If follows that the amount of money after n years will also decrease.
I just need help with #15 … can someone please help me
Answers
Answer:
450
Udjdjdjdndkdkdkdjejeud
what is 2/3 to the -3 power
Answers
Answer:
[tex]\frac{27}{8}[/tex]
Step-by-step explanation:
2/3 to the 3rd power ([tex]\frac{2}{3} *\frac{2}{3}* \frac{2}{3}[/tex]) is [tex]\frac{8}{27}[/tex]
Since the power is negative, just use the reciprocal (flip the fraction)
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
[tex]\frac{27}{8}[/tex]
Step-by-step explanation:
[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]
[tex]\frac{1}{\frac{8}{27} } =\frac{27}{8}[/tex]
Marta Collected 363 cans die go collected 295 cans how many cans marta And diego Collect
Answers
Answer:
658
Step-by-step explanation:
I’m struggling on this one pls help
Answers
Answer:
1:2
Step-by-step explanation:
11 triangles : 22 hearts
= 1:2
Question 13 of 23
If f(x) = 3x - 15, what is f(4)?
A. 3
O B. -8
O C. 12
O D. -3
Answers
Answer:
f(4) = 3×4 - 15
f(4) = 12-15 = -3
Answer : D. -3
...........
Answer:
D.-3
Step-by-step explanation:
f(4)=3•4-15
=12-15
=-3
27. In the figure, AFJD, BGFE, CHGA, DIHB and EJIC are straight lines.
Find a + b + C + d + e.
Answers
So follow this rule 180(n-2)
180(5-2)
180(3)= 540
So in another words: a+b+c+d+e=540
7k -2(3k + 1) - 9
Y’all I need help.
Answers
Answer:
k - 11
Step-by-step explanation:
7k - 2(3k +1) - 9
So first we start by multiplying out the brackets. Multiply 2 by 3k and 1 then it becomes:
7k - 6k + 2 - 9
Then collect like terms subtract 6k from 7k and 9 from 2:
k - 11
HOPE THIS HELPED
I will crown you! And extra points! Just need some help on this question.
Answers
Answer:
∠LMP = 77
∠NMP = 103
Step-by-step explanation:
to find the measure of ∠LMP and ∠NMP
we know that ∠LMN is a straight line so that will be 180 degrees
so you can say that
∠LMP + ∠NMP = 180
(-16x +13) + (-20x +23) = 180
-16x +13 -20x + 23 = 180
-36x + 36 = 180
-36x = 180-36
-36x = 144
x = 144/-36
x = -4
∠LMP = (-16x +13)
= ( -16 (-4) + 13)
= ( 64 + 13)
= 77
∠LMP = 77
∠NMP = (-20x +23)
= (-20 (-4) + 23)
= 80 + 23
= 103
∠NMP = 103
Malcom has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for 159.50 today. Write an inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a fee.
(9th grade Algebra 1)
Answers
The inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a fee is 638.54 - 159.50 + x ≥ $500
The given parameters:
initial amount of money in Malcom's account = $638.54
a constant balance to be maintained to avoid a fee = $500
amount to be withdrawn today = $159.50
To find:
inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a feeLet the LEAST amount = x
Here are basic things to note in order to form the equation:
The money going into the account must be addedThe amount to be withdrawn will be subtracted Finally, the total amount must be greater or equal to $500Considering the above explanation, the inequality becomes;
638.54 + x - 159.50 ≥ $500
Rearrange to match the given options;
638.54 - 159.50 + x ≥ $500
Thus, the inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a fee is 638.54 - 159.50 + x ≥ $500
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Ms. Johnson bought an area rug for her den. The perimeter is 30 feet. The width of the rug is
2yards What is the area of Ms. Johnson's rug in square feet and square yards?
in both feet and yards.
Answers
Answer:
6 sq yards, 54 sq feet
Step-by-step explanation:
30/3 = 10, 10 - 4 = 6, 6/2 = 3, 3 * 2 = 6
30/3 since we are calculating yards(3 ft = 1 yard), 10 -4 since 2 sides have the width of 2 yards. 6/2 since there is two sides left.
Basically the same thing for sq feet.
Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6
Answers
Answer:
angle 1 and angle 7 are alternate exterior angles.
angle 1 and angle 5 are corresponding angles.
angle 3 and angle 8 are same side interior angles.
angle 2 and angle 8 are alternate interior angles.
Step-by-step explanation:
y = 2/3 -5 GRAPHED
I WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Hope this helps
please help me solve this
(3/4)^2+1/8+1/4•3/2= ?
Answers
Answer:
This was a little tricky but the answer is 2 7/16
Step-by-step explanation:
15
16
+
3
2
=
15
16
+
3 × 8
2 × 8
=
15
16
+
24
16
=
15 + 24
16
=
39
16
=
2 7/16
HOW MANY DEGREES IN A SUPPLEMENTARY ANGLE???
Answers
Answer:
180 degrees
Step-by-step explanation:
if f(x)=x-4 find the value if f(x)+f(-x)
Answers
Answer:
2x
Step-by-step explanation:
f(x) = x -4
Step 1:
y = x - 4
Step 2: Replace y with x
x = y - 4
Step 3: Find y
x + 4 = y
f(-x) = x + 4
f(x) + f(-x) = (x - 4)+ (x + 4) = 2x
{ALGEBRA} What’s the domain and range of these graphs?
Answers
I fixed your first and second graph
And filled in the blanks
Hope this helps!
Writing equations in standard form:
Hi I need help with writing equations in standard form using points. The points are (4,5) and (-3,-1) I already found the slope which is 6/7 but I don’t know how to do the point slope form. This is the slope form if you don’t know:
Y-y1=m(x-x1)
Answers
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11
Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11
You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true
Identify the rule for the following pattern: 4, 24, 144...
Answers
Answer:
Multiply By 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The common ratio is 6 ie dividing the second term by the first term or the third term by the second term ie
24 ÷ 4 = 6
144 ÷ 24 = 6
And so on....
I need help I will give brainiest if correct plz solve all of these two questions
Answers
Answer:
1. You should mix 5 cups of yellow paint with 1 cup of blue paint. The table shows that the ratio is 1:5 (blue:yellow) so 1 cup of blue paint means you need 5 cups of yellow paint.
2. Using the same ratio (1:5), you can multiply both numbers by any number and get the same shade of green.
5 cups of blue paint will need 25 cups of yellow paint.
(1 x 5 = 5 : 5 x 5 = 25)
Step-by-step explanation:
HELP ME PLEASE:((
Question 1 of 10
Which of the following is most likely the next step in the series?
Answers
Answer: it should be A
Step-by-step explanation: just follow the pattern
( show your work ) Find the total cost of 6 puppies if each pull-ups coast $250
Answers
Answer: $1500
Step-by-step explanation:
Given information
Number of puppies = 6
Cost of each puppy = $250
Given expression deducted from the question
Total cost = number of puppies × cost of each
Substitute values into the expression
Total cost = 6 × 250
Simplify by multiplication
Total cost = [tex]\boxed{1500}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Work
If one Cost $250 , and we need to fine the total of 6 puppies. So it 250 times 6 , then you will get the answer 1500
The total cost of 6 puppies is $1500
0.582 times 10 what is value of the 2
Answers
Answer:
5.82
Step-by-step explanation:
0.582 x 10
=> Shift the decimal place by 1
=> 5.82
The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
To determine the value of 2 in the product of 0.582 times 10.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.
Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
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I just need help with #16 … can someone please help me
Answers
Answer: it goes up like 10,20,30,40
Step-by-step explanation:
and solve the two equations for x and y.)
midpoint (-4,-7), endpoint (5,- 10)
The other endpoint is
(Cype an ordered pair.
Answers
Answer:
the formula is x2+x1/2 , y2+y1/2 so plug it in and you will get (1,-17/12)
Step-by-step explanation:
evaluate the expression
Answers
Answer:
-213
Step-by-step explanation:
Hi there!
[tex]3|x+y|^2-(xy)^2[/tex]
Replace x with 3 and y with -5
[tex]= 3|3+(-5)|^2-[(3)(-5)]^2\\= 3|3-5|^2-(-15)^2\\= 3(2)^2-225\\= 3(4)-225\\= 12-225\\= -213[/tex]
I hope this helps!
19, 36, 23, 42, 21, 33, 23, 24, 36, 42, 23, 37, 37, 33, 17
Answers
What is this suppose to mean