Your sister says that the angles ∠DCA and ∠BCA are supplementary angles. Is she correct? Explain your reasoning.
Is triangle DCA congruent to triangle BCA? Explain.
Answers
Proving congruency:
CA = CA, reflexive
m ∠DCA = m ∠BAC, alt interior ∠
m ∠BCA = m ∠DAC, alt interior ∠
triangle DCA = triangle BCA, ASA
Supplementary angles means a pair of angles adding to 180 degrees.
180 degrees would be a straight angle.
∠DCA + ∠BCA = ∠DCB, not a straight angle.
Hope this helped.
Related Questions
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 212cm. The prism is filled with cubes that have edge lengths of 12 cm. How many cubes are needed to fill the rectangular prism? Enter your answer in the box.
Answers
Answer:
first solve the volume of the rectangular prism
V = l x w x h
where l is the length
w is the width
h is the height
V = 7 x 4 x 2.5
v = 70 cu cm
then solve the volume of the box
v = e^3
v = 0.5^3
v = 0.125
number of cubes = 70 / 0.125
number of cubes = 560 cubes
Step-by-step explanation:
Identify an obtuse angle and give its measure.
Answers
what is the GCF of 10 and 8
then take the awnser for the GCF of 10 and 8 to solve this equation
10-8= __ x(__ - __)
Answers
Answer:
The answer of The GCF 10 and 8 is 80
Step-by-step explanation:
Hellp meeeeeeeeeeeeee
Answers
Answer:
The picture is so small I cant even answer the question
Step-by-step explanation:
HOME WORK HELP DUE BEFORE 3:00
Answers
Answer:
sandcastle (7,6)
chest (-1,5)
bucket (-6,1)
fish (-4,-6)
starfish (4,-5)
seahorse (-7,-2)
crab (5,0)
ice cream (1,-6)
life ring (-7,7)
‐----------------------------------------
square (3,6)
hexagon (-3,6)
frog (-6,-6)
fish (2,-5)
Pentagon (5,-1)
right triangle (6,2)
equilateral triangle (-5,-3)
crab (-2,2)
snail (6,-3)
Can Someone Please Help Me? I’m really Confused with this
Triangle PQR is similar to triangle XYZ. Which statement is true?
A.
The slope of QR is equal to the slope of XZ.
B.
The slope of PR is equal to the slope of XZ.
C.
The slope of QR is equal to the slope of XY.
D.
The slope of PR is equal to the slope of YZ.
Answers
B.
The slope of PR is equal to the slope of XZ.
Step-by-step explanation:
Point PR and XZ line up, on the blue line.
Hope this helps!
What is the name of the relationship between ∠3 and ∠7?
A)alternate exterior angles
B)corresponding angles
C)alternate interior angles
D)adjacent angles
Answers
Answer:
B)Corresponding angles
brainlies, help pls
Subtract the following fractions. Simplify and reduce to the lowest terms.
6/9 - 4/9
A.10/9
B.2/9
C.1/3
D.10/18
Answers
Answer:
B
Step-by-step explanation:
6/9 - 4/9 = 2/9
Cant be simplified any farther
Answer:
The answer is B
Step-by-step explanation:
Step 1 :
Since our denominators match, we can subtract the numerators.
6 − 4 = 2
So the answer is:
2/9
Step 2 :
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
No good. 3 is larger than 2. So we're done reducing.
There you have it! The final answer is:
2/9!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPL PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs
Answers
please explain:
what is a parabola?
minimum values of parabola, equations of the axis of symmetry for parabola, y-intercept of parabola, vertex of parabola
formulas
i know this is a lot so just answer whatever you can, thanks so much :))
Answers
help me please i will give the brainiest
Answers
Answer:
4(x+10)
Step-by-step explanation:
(x+15)+(x+5)+(x+15)+(x+5)
x+15+x+5+x+15+x+5
x+15+x+5+x+15+x+5
x+40+x+x+x
x+40+x+x+x
4x+40
4x+40
4(x+10)
describe a sequence of transformations that maps figure a to figure b
Answers
Answer:
rotate CCW 90°dilate by a factor of 2Step-by-step explanation:
First of all, we need to discover the relation Figure B has to Figure A.
Figure B has dimensions that are twice those of Figure A, so a dilation by a scale factor of 2 will be required. The "points" of figure A are on its "south" side, while those of figure B are on its "east" side. Rotation 90° CCW will be involved.
If we consider just these two transformations, we find that they are sufficient to map A to B without any additional translation. Since both transformations use the origin as a reference, their order does not matter.
__
Rotating figure A by 90° CCW moves the vertex of its "notch" from (2, 2) to (-2, 2). Dilating the rotated fibure by a factor of 2 moves its "notch" vertex to (-4, 4), as shown in Figure B.
A suitable sequence of transformations is ...
Rotation 90° CCWDilation by a factor of 2 about the originThese can be done in either order.
_____
Additional comment
The transformations are ...
(x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW
(x, y) ⇒ (2x, 2y) . . . . dilation by a factor of 2
The composition of these transformations is ...
(x, y) ⇒ (-2y, 2x)
Answer:
dilate by a factor of 2
rotate CCW 90°
How many times would you expect your heart to beat in 25 seconds? ____________
60 seconds? _____________ 120 seconds? ___________
Answers
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg.
Write an equation to determine the weight, www, of each of Carl's checked bags.
Find the weight of each of his checked bags.
Answers
Answer:
15.5kg
Step-by-step explanation:
total is 35
35-4=31
31÷2=15.5kg
Darnell bought 6 packs of baseball card. There were 6 cards in each pack Darnell put all his card in card book. He put 9 cards on each page.
How many pages of the card book did Darnell use?
Answers
Answer:
Darnell used 4 pages.
Step-by-step explanation:
We know Darnell has 36 cards, with this given we can do the simple division of 36 / 9 to get the answer of 4.
Pls give brainliest!
Answer:
4 pages
Step-by-step explanation:
1 pack : 6 cards
6 packs : x cards.
x = 6 x 6
= 36
Darnell bought 36 baseball cards.
1 page : 9 cards
x pages : 36 cards
x = 36/9
= 4
Darnell used 4 pages of his card book.
Please help me!
Identify all the sets to which the number 3.1214122144 . . . belongs.
a) rational number
b) irrational number
c) integer, rational number
d) whole number, integer, rational number
Thanks!
Answers
Answer:
B
Step-by-step explanation:
Since the decimal goes on forever, it is Irrational. Any numbers with an infinite number of digits go under irrational numbers.
B
Step-by-step explanation:
Answer the two questions below
3. Suppose that you are going to select a random sample of students from your school, measure the heights of the students in your sample, and then find the mean height for your sample. There are many different sets of students who could end up forming your sample. Will the sample mean be the same for all possible samples? If so, explain why. If not, what is the phrase used for the fact the sample means will vary according to the sample selected?
4. Return to the context of the previous item. The sample mean will vary according to what sample you happen to select. If you want to reduce this variation, would you choose to select a sample of size 5 or a sample of size 25?
Answers
Answer:
3: No
4: 25
Step-by-step explanation:
3: It won't because not everyone is the same height and there will be variation in the mean height.
4: A larger sample size will give a more accurate representation of the population, where as a sample size of 5 is much more likely to have a higher percentage of outliers, and each outlier matters much more in finding the mean. In a sample size of 25, each outlier matters much less.
A recipe requires 5.5 teaspoons of sugar to make a cheesecake. Which equation shows the number of teaspoons of sugar, y, needed to make x cheesecakes? (1 point) a x = 5.5b y = 5.5 + x = 5.5x = 5.5 + y Sorry I suck at math
Answers
What is the value of x?
Answers
180-33-91=56
Every triangle has a total of 180 degrees
Answer:
56
Step-by-step explanation:
The angles of a triangle add up to 180 degrees. In this case, we have 2 values.
First, we add the two values that we already have so 91 + 33 = 124
To find the length of the missing angle, we subtract 124 from 180.
180 - 124 = 56
And 56 is the value of x.
The product of ages of Hasni and Alia is 32 years. Hasni is 4 years older than Alia. How old are Hasni and Alia?
Answers
This gives us 8 and 4, and since Hasni js 4 years older than Alia, Hasni must be 8 years old and Alia must be 4 years old.
If the product of the ages of Hasni and Alia is 32 years and Hasni is 4 years older than Alia, then Hasni would be 8 years old while Alia would be 4 years old.
How to determine the agesFirst, the question states that the product of the ages of Hasni and Alia is 32 years old. We can represent mathematically in the following way;
ab = 32
Assuming b = a + 4, then we would have;
a(a + 4) = 32 years
a² + 4a = 32 years
a+8)(a - 4) = 32 years
So, the ages are expressed as follows:
x + 8 = 0 or x - 4 = 0
Hasni's age is 8 while Alia's age is 4.
Learn more about age calculations here:
https://brainly.com/question/26423521
#SPJ2
7 points: What is the value of k?
pls need help.
Answers
Answer:
78
Step-by-step explanation:
angle 78 is parallel to k which makes then equal the same value so K is equal to 78
k=78
Step-by-step explanation:
the opposite angel is also 78
A man usually rides his bike 9 kilometers per hour, yet the wind slows him to 6.76 kilometers for 26 minutes and 5.55 kilometers for 10, how long until he gets home 11.54 kilometers away?
This is a riddle that showed up in the first few pages of the poetry book "inside out and back again" I was just wondering if anyone had answers, please try it out I would appreciate it!!
Answers
Answer:
0
In order to calculate the time it took, multiply 6.76 by 26/60. This is due to the formula d=rt. Then add that result to 5∗5.55/10. Then, subtract that result from 11.54.
= 11.54−3.85433333333
=9.53566666667
Now, divide it by the regular speed of 9 km/hr.
= 1.05951851852 hours.
Multiply the decimal part by 60.
=1 hour 3.571 minutes.
Multiply the decimal part again by 60.
=1 hour 3 minutes 34 seconds.
Step-by-step explanation:
:) hope this helps!!!
Answer:
0
Step-by-step explanation:
The simple answer
The two numbers rolled can be added to get a sum. Find P (sum is greater than 5)
HELP
5/6
13/18
5/18
1/3
Answers
Explanation:
1) Draw a table
+ 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
2) Then you count how many are above 5 (not in bold). I got 26, so this will be your numerator.
3) Finally, for the denominator, do 6x6 which is 36.
Answer:
Your answer as a fraction will be 26/36 (if asked to simplify, then it's 13/18)
Compare the backpack weights for the students in the three classes.
Answers
Bennett is getting in shape for football season. He runs 400 yards
3 times each day for 5 days. Which shows the correct way to find the
number of miles Bennett will run in 5 days? Circle the letter of the
correct answer. (1 mile = 1,760 yards)
A 400 X 3 X 5 X 1,760
B 400 ÷ (3 X 5) ÷ 1,760
C 400 X (3 + 5) ÷ 1,760
D 400 X 3 X 5 ÷ 1,760
Jory chose A as the correct answer. How did he get that answer?
Answers
Answer:
D.
Step-by-step explanation:
D. the correct answer because if you divide the 3,500 to 1760 it equal to 1 miles
I need help with my math homework I suck at this. Please help.
Answers
Mode) 9
Median) 5
Range) 13
Interquartile range) 6
Mean Absolute Deviation) 8.5
Second set
Mean) 9.3
Mode) 5
Median) 9
Range) 19
Interquartile Range) 6
Absolute Deviation) 9.3
And don’t know the options given for the bottom
How do I convert vertex form to square form in algebra?
Example: y = x^2 -6x + 2.
I need to know this to find out the minimum or maximum of the vertex of parabola
Answers
Answer:
(3,−7)
Step-by-step explanation:
Whats the area of the figure below?
Answers
Answer: 63
Step-by-step explanation:
Put them into different shapes, two triangles and one trapezoid then plug in the numbers
Which shapes have all the properties shown? Select all that apply.
A. Isosceles triangle
B. Parallelogram
C. Rectangle
D. Right triangle
E. Square
F. Trapezoid
The table below shows some properties of shapes.
Answers
Answer:
parallelogram
trapezoid
Step-by-step explanation:
a parallelogram has two parallel sides
3a-2b=50, 2a+3b=100 what does a equal and what does b equal?