Answers
The evaluation of the composite figure comprising of a square and an equilateral triangle is as follows;
9 (a) ∠ABD = 90°
(b) ∠BCD = 60°
(c) ∠ADC = 105°
What is a composite figure?A composite figure is a figure comprising of two or more regular geometric figures.
9. The shape of the quadrilateral ABDE = A square
The kind of triangle specified for the triangle ΔBCD = Equilateral triangle
The sides of the square ABDE are congruent by the definition of a square
Therefore; AB = BD = DE = AE by the definition of congruency
(a) Angle ∠ABD is a corner of the square ABDE, therefore;
The size of angle ∠ABD = 90° (properties of the interior angle of a square)
∠ABD = 90°(b) The size of angle ∠BCD = 60° (Interior angle of an equilateral triangle)
∠BCD = 60°(c) The size of angle ∠ADC is found as follows;
Triangles ΔAED and triangle ΔABD formed by the diagonal AD are congruent by Side-Side-Side, SSS congruency postulate
∠DAB ≅ ∠ADB (base angles of isosceles triangle ΔABD)
∠DAB = ∠ADB (Definition of isosceles triangles)
∠ABD + ∠DAB + ∠ADB = 180° (Angle sum properties of a triangle)
90° + 2 × ∠ADB = 180° (substitution property)
∠ADB = (180° - 90°) ÷ 2 = 45°
∠BDC = 60° (Interior angle of an equilateral triangle)
∠ADC = ∠ADB + ∠BDC (Angle addition postulate)
Therefore, ∠ADC = 45° + 60° = 105°
∠ADC = 105°Learn more about equilateral triangles here:
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Related Questions
The two lines graphed on the coordinates grid each represent an equation
Which prefer pair represents a solution to both equations.?
A- (-4,0)
B- (-2,1)
C- (0,-4)
D- (1,-2)
Answers
AB is the angle bisector of ∠CAD. Solve for x.
(I really need help on this one cuz i.dk what I'm doin')
Answers
Answer: x=7
Step-by-step explanation:
Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7
HELP!!! What’s the domain and range? PLS!!!!
Answers
Answer:
A) Vertex: (3,1) Maximum, Domain: all real numbers, Range: y is less than or equal to 1.
B) Vertex: (1,-5) Minimum, Domain: all real numbers, Range: y is greater than or equal to -5
C) Vertex: (0,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1
D) Vertex: (4,0) Maximum, Domain: all real numbers, Range: y is less than or equal to 0.
E) Vertex: (4,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1
F) Vertex: (-1,4) Maximum, Domain: all real numbers, Range: y is less than or equal to 4.
G) Vertex: (2,-4) Minimum, Domain: all real numbers, Range: y is greater than or equal to -4
H) Vertex: (-4,-3) Minimum, Domain: all real numbers, Range: y is greater than or equal to -3
I) Vertex: (2,3) Maximum, Domain: all real numbers, Range: y is less than or equal to 3.
Step-by-step explanation:
Sorry it took forever to type
Jose has scored 866 points on his math tests so far this semester. To get an A for the semester, he must
score at least 946 points.
Part 1 out of 2
Enter an inequality to find the minimum number of points he must score on the remaining tests in order to
get an A. Let n represent the number of points Jose needs to score on the remaining fests.
Answers
Answer:
ur question is more clarification
Step-by-step explanation:
Answer:
I don't know this
Step-by-step explanation:
Not enough info to solve it...can you post part 2 as well?
I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
A three-dimensional figure has a volume of 314 cubic centimeters rounded to the nearest cubic centimeter. Select whether each shape below, with dimensions given in centimeters (cm), matches this three-dimensional figure.
A sphere with a radius of 4.217 cm (true or false)
A sphere with a diameter of 4.217 cm (true or false)
A cone with a radius of 10 cm and a height of 3 cm(true or false)
A cylinder with a radius of 1 cm and a height of 10 cm(true or false)
A cylinder with a radius of 4.47 cm and a height of 5 cm(true or false)
Answers
Answer:
The first one and the third one are true and the rest are false
Step-by-step explanation:
Answer:
first and therd are right
Step-by-step explanation:
What is the critical value z* for constructing an 80% confidence interval?
Answers
Answer:khan is 1.282 or c
Step-by-step explanation:
ILL GIVE BRAINLY IF YOU CAN HELP ME ASAP
Answers
Answer:
a
Step-by-step explanation:
hiiiiiiiii
A 20 foot flagpole casts a shadow on a flat concrete patio. The distance from the top of the pole to the tip of the shadow is 50 feet. What is the distance along the ground from the base of the pole to the tip of the shadow (nearest tenth)?
Answers
Answer:
Flagpole height is 50 ft.
Explanation:
This is a ratio problem
Find the value of x 6x+2
Help Due in 30 mins!
Answers
Answer:
Step-by-step explanation:
(6x + 2)° + 42° + 58° = 180°
6x + 2 = 180 - 100
6x = 78
x = 13
Answer:
13
Step-by-step explanation:
There are 180 degrees in a triangle
58 + 42 + (6x +2 ) = 180
98 + (6x + 2) = 180
Subtract 98 from 180.
6x +2 = 82
Subtract 2 from 82
6x = 80
x = 13.333 or 40/3
Leia is trying to find the best price for 6 pairs of colored shoelaces. If 3 pairs of colored shoelaces cost $20 at Sprint Sneakers, and 2 pairs of colored shoelaces cost $12 at Shoe Sanctuary, how many dollars will Leia save if she buys 6 pairs of colored shoelaces from Shoe Sanctuary instead of Sprint Sneakers?
Answers
Answer:16
Step-by-step explanation:
Sprint is 2shoe sanc. 2 for 12
2
4
6 36 - 20 is 16
12
24
36
Solve this equation:
945 = 210T
Answers
Answer:
T=9/2 alternate form T=4 1/2, T=4.5
Step-by-step explanation:
you have to divide both side
explanation: u divide
Rearrange the formula:
C = (F - 32)
to make F the subject
help
Answers
Answer:
f=c+32
Step-by-step explanation:
Eliminar paréntesis.
c=f-32
c=f−32
2 Suma 3232 a ambos lados.
c+32=f
c+32=f
3 Intercambia los lados.
f=c+32
f=c+32
C = F - 32 (remove the bracket)
- F = - 32 - C (change the subject to F)
F = 32 + C (remove the negative sign from the subject & change the sign to everything at the right hand side)
Final answer , F = 32 + C
Hope this helps!!
A plane flew for 2 hours at 467 mph (miles per hour) and 5 hours at 536. How far did the plane fly in miles
Answers
Answer:
3614 miles
Step-by-step explanation:
Given data
A plane flew for 2 hours at 467 mph
Let us find the distance covered
Speed= distance/time
Distance= speed*time
Distance= 467*2
Distance=934 miles
5 hours at 536
Let us find the distance covered
Speed= distance/time
Distance= speed*time
Distance= 536*5
Distance=2680 miles
Total distance
=2680+934
=3614 miles
Can someone plzzz helppp meeee!!!
Answers
Answer:
130
Step-by-step explanation:
Hello There!
An included angle is equal to half the measure of its included arc
So more specifically for this circle
∠mABC = [tex]\frac{1}{2}[/tex] arc(mAB)
So in order to find the value of x we are going to want an equation
Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two
So 2(3x+32) = 10x+20
now we solve for x
step 1 distribute the 2
2 * 3x = 6x
2 * 32 = 64
now we have
6x + 64 = 10x + 20
step 2 subtract 20 from each side
64 - 20 = 44
20 - 20 cancels out
now we have 6x + 44 = 10x
step 3 subtract 6 x from each side
10x - 6x = 4x
6x - 6x cancels out
now we have 44 = 4x
step 4 divide each side by 4x
44/4=11
4x/4=x
we're left with x = 11
finally we want to plug in 11 to x for (10x+20)
10(11)+20
10*11=110
110+20=130
so arc ab = 130
Answer:
AB = 130
Step-by-step explanation:
So, according to a certain theorem to do with arcs and their angles, If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.
In this case, the ARC is AB, and the angle is CBA.
CBA = 3x+32
AB = 10x+20
And,
[tex]CBA = \frac{1}{2} AB[/tex]
Now,
[tex]3x+32=\frac{1}{2} (10x+20)[/tex]
[tex]3x+32=5x+10\\32=2x+10\\22=2x\\11=x[/tex]
Now we can substitute x into the equation that equals AB
[tex]10(11)+20 \\=110+20\\=130[/tex]
So, the answer is 130, sorry I took a while, the explanation takes a long time to do lol.
Have a nice day fam. Spread The Love.
A town has a population of 15,000 and grows at 7% every year. What will be the
population after 10 years, to the nearest whole number?
Answers
Answer:
29,507
Step-by-step explanation:
Simple way just do 15,000 x 1.07. Take that number and multiply by 1.07. Do that 10 time.
What is the value of x that makes angle G a right angle in circle I?
Answers
Step-by-step explanation:
The answer is 12 bro
Thank me pls
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Luke sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
204 visitors purchased no costume.
209 visitors purchased exactly one costume.
27 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one
or more costumes as a fraction in simplest form.
Answers
Answer:
59/110
Step-by-step explanation:
Based on these results, express the probability that the next person will purchase one or more costumes as a fraction in simplest form.
204 no costume, 209 exactly one costume, 27 more than one costume.
204+\color{steelblue}{209}+\color{steelblue}{27}=
204+209+27=
\,\,\color{indianred}{440}
440
There were a toal of 440 customers. 209+27=236 visitors purchased one or more costumes costumes.
Probability the next visitor will purchase one or more costumes:
\frac{\color{steelblue}{236}}{\color{indianred}{440}}=
440
236
=
\,\,\frac{59}{110}
110
59
Giving brainliest!! TO FIRST PERSON 9x8?
Answers
Answer:
9x8=72
9x5=45 9x3=27 45+27=72
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
9514 1404 393
Answer:
C. (10, 5), (5, 0), (0, 5)
Step-by-step explanation:
In order for the square to have an area of 50 square units, its side lengths must be √50 = 5√2 units long. The only way to get such a length with integer coordinates is for the sides of the square to be themselves the diagonals of a square 5 units on a side.
That is, two of the other vertices of the square must be among ...
(5±5, 10±5) ⇒ (10, 15), (0, 15), (10, 5), (0, 5)
Only choice C contains two of the vertices on this list.
c AN i PLEASE GET SOM E HELP QUIK
Answers
Answer:
223 I guess
if wrong sorry bro
-9u-6+7u=16 what is the value of u
Answers
Step-by-step explanation:
-9u-6+7u=16 This question is asking to isolate u
-9u+7u=16+6 bring -6 to the other side and put the "u" variables together make sure to put +6
-2u=22 add and subtract the sides
u=11 divide -2 by 22
your answer is U=11
Solve the equation x - 20.7 = 9.5 for X
Show your work.
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
x=30.2
Step-by-step explanation:
30.2-20.7=9.5 So therefore x=30.2
Mhanifa please help! This is due asap! Look at the picture attached. I will mark brainliest!
Answers
Answer:
The easiest way to solve this is
plot the given points and connect find the missing vertex by adding parallel segments (red dotted) to segments (blue solid) formed by connecting adjacent pointsintersection of those segments is the required vertex#6A(-2,0), B(-2, -2), C(x, y), D(2, 2)
Connect adjacent points:
A with B and A with D.Point C will be (2, 4) in this case
#7A(-1,-3), B(x,y), C(1, 2), D(-1, -2)
Connect adjacent points:
A with D and C with DPoint B will be (1, 1) in this case
I need help graphing this
Answers
Answer: y=4/3x-2
Y-Intercept: -2
Slope: 4/3
Step-by-step explanation:
On the Y-Axis put -2 because thats the Y-intercept.
And for slope graph a slope of 4/3
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST
Answers
Plz help I’m bad with angles
Answers
Answer:
Complementary angles,7 & 83
Supplementary angles, 97 & 83
Vertical angles, 83 & 83
Step-by-step explanation:
Complementary angles add up to 90°
Supplementary angles add up to 180°
Vertical angles are equal
Quick question its in the picture explain if u can pls:)
Answers
Step-by-step explanation:
[tex]6g + 4h + g + 7h = \\ = 7g + 11h[/tex]
Always put the same variables together with problems like this
find the value of the reciprocal of 0.25
give your answer as a decimal
Answers
Answer:
the reciprocal of 0.25 is 4.
Taylor went shopping for a new camera. Sales tax where she lives is 4.5%. The price of the camera is $28. Find the total price including tax. Round to the nearest cent.
Answers
Answer:
I think the answer would be 29.30 . good luck ^^