Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of
each congruence theorem to prove that
need to know.
Answers
The given information on the diagram of the projector and the image can
be used to prove the congruency of the triangles.
∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and
segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem
Reasons:
The figure of the projector that casts an image on the screen is attached.
The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]
From the drawing, we have;
∠ABD ≅ ∠CBD by equal number arc mark.
The two column proof is therefore, presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {BD}[/tex] is perpendicular bisector of [tex]{}[/tex][tex]\overline {AC}[/tex] Given
[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex] [tex]{}[/tex] Definition of bisected line [tex]\overline {AC}[/tex]
∠BDC = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠BDA = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠ABD ≅ ∠CBD [tex]{}[/tex] Given on the diagram
ΔABD ≅ ΔCBD [tex]{}[/tex] by Angle-Angle-Side AAS Congruency rule
The Angle-Angle-Side, AAS, Congruency postulate states that two
triangles are congruent where two adjacent angles and a non included side
on one triangle are congruent to the corresponding two adjacent angles
and a non included side on the other triangle.
Learn more here:
https://brainly.com/question/15274307
Related Questions
The triangle and the rectangle below have the same area.
6 cm
wcm
6 cm
5cm
Calculate the value of w.
Show your working.
I thought it was 10 as triangle do base x height divided by 2
Answers
Answer:
look at the photo...........................Hello! I have a project where I invite 5 people to a “dinner party” to school. I want to invite a girl named Jaci Butler. Jaci Butler is her own agent in the singing industry. I found her address and want to send her a mail. Does this count as stalking? If you were Jaci butler, what would you think I’m a stalker? If you were her, would you come?
Answers
Answer:
I will it was a stalker too because I don't know him/her and I wouldn't come to the house of a stranger on me
what does the x length equal
Answers
Answer: 225
Step-by-step explanation:
identify the constant term in this expression 28m + 4n - 12m +3 =
Answers
Step-by-step explanation:
28m+4n-12m+3
28m-12m+4n+3
16m+4n+3
Help plz. No links.
What is 8.21 times 4.2?
Show your work.
Answers
Answer:
34.482 is the answer to your question
(х + 5) + (х – 2)
3
7
оооо
2х + 3
2x +7
What’s the correct answer?
Answers
Answer:
the correct answer is 2x+3
Step-by-step explanation:
because your adding the (x) factors together then your adding a negitive to a positive so you would get a lower number
5(a-b) if a=-4 and b=-2
Answers
5(a-b) if a=-4 and b=-2
5(-4--2)
5(-4+2)
5(-2)
-10
Answer: -10
Answer:
The expression equals -10.
Step-by-step explanation:
First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.
SOMEONE HELP ME PLEASE
Answers
Answer:
[tex]x=\frac{27}4=6.75[/tex]
Step-by-step explanation:
The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.
[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex] Replacing the values and cross-multiplying we get:
[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]
Answer:
6.75
Step-by-step explanation:
the answer is 6.75
so x = 6.75
When deriving the Quadratic Formula, we start with the general equation for a quadratic:
Answers
Answer:
Step-by-step explanation:
c sss(6-i\sqrt(2))/(6+i\sqrt(2))
Answers
Answer: 18 sqrt= i
Hope this helps :)
Step-by-step explanation:
Find the area of the parallelogram. b = 90 ft h = 2 yd The area of the parallelogram is __ft² or __yd².
Answers
I ain’t giving n9 answer
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
quick question is this area or perimeter?
Answer:
2 and 3
Step-by-step explanation:
to be similar, there must have been the same scaling factor applied for length and width.
when going from 2 to 3 the width changes from 5 to 7, that is a changing factor of 7/5 = 1.4
and the length changes by the same factor :
6.5 × 7/5 = 1.3 × 7 = 9.1
Graph the linear function w(x) = 3/5x + 2
Answers
Can u give me a brainliest answer?
Answer:
Coordinates or points would be (0,2), (1,2.6) (2,3.2) (3,3.8)
Step-by-step explanation:
Formula
w(x) = 3/5x +2 in each coordinate I have a x so for example 3.
I would rewrite this as 3/5(3) + 2
w(x) = 3/5x +2
w(3) = 3/5(3) + 2
y = 1.8 + 2
y = 3.8
Consider Brainiest
Pls help, will give brainleist
Answers
Because take x=1 entry to the graph and going vertical until you intercept the curve, then read the value on the y axial
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I'll help you with your problem today. I hope you are having a nice day!
The Function
First of all, to figure out the function and how it will work, with that, we can see that it is a parabola, a parabola is a function which looks like a curve in which the multiplication of the [tex]x[/tex] cation, when more smaller, is more wider.
Parabola's also have two ways they go, them being upwards and downwards which in the quadratic formula are figured out by the a catition.
[tex]ax^2+bx+c=0[/tex]
Solving
So, we know to find for [tex]f(1)[/tex] we have to find what is y when x is 1. To solve for that, we can look at the function's graph and see that when x is one, y is 5.
Solution
To solve for this, we can usually just look at the graph to see where the point where we need to find is, but, we also might have to graph the equation if the graph is not already given.
So our answer would be [tex]y=5[/tex] and/or [tex](1,5)[/tex]
Cheers!
helpppp
simplify √5 × √3
Answers
Answer:
√15
Step-by-step explanation:
When you multiply surds:
multiply the numbers inside the square roots i.e. √(5 × 3) = √15simplify if possible (not possible in this case)Hope this helps!
How do you solve , (x+3)2 ?
Answers
Answer:
Distributive property of multiplication.
Step-by-step explanation:
2(x+3)
Multiply 2 times x, and 2 times 3 so that you get:
2x+6
Answer:
(x+3)2= 2 × x 2 × 3= 2x + 6Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Please help me with this question thx
Answers
Answer:
>
>
>
Step-by-step explanation:
A middle school has 212 people. 188 are students. The rest are adults. What is the ratio of students to adults? Write your ratio in three different forms.
Answers
Answer:
24 adults
Step-by-step explanation:
because it's just subtract 212-188=24
I think
Ritta purchased a package of stickers. She noticed 4 out of every 5 stickers where purple. Which table shows the relationship between the number of purple stickers, p, and the total number of stickers, t?
Answers
Answer:
4:5
Step-by-step explanation:
I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.
Tell me if I'm wrong :)
Answer the question in the image below
Answers
Answer:
B. m[tex]\geq 2\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]m\geq \frac{5}{2}[/tex]
please help me with these 2 questions for a brainlist !
+give explanation to answer
Answers
Answer: Option 3 is the answer hope this helps!
Step-by-step explanation: Option 3
Which step? I’m sort of confused
Answers
The answer is C) Step 3
Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.
The right steps are:
-4/5 / 8/-3
Flip the second part to multiply:
-4/5 * -3/8
Multiply:
12/40
Simplify:
3/10
I hope this helps!
What is the discriminant of the quadratic equation 9x^2+5x-9=0
Answers
Answer:
Δ = 349
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is
Δ = b² - 4ac
9x² + 5x - 9 = 0 ← is in standard form
with a = 9, b = 5 , c = - 9 , then
b² - 4ac
= 5² - (4 × 9 × - 9)
= 25 - (- 324)
= 25 + 324
= 349
paisley’s mom buys a car using a loan . she repays the loan by paying $22.032 in 48 equal monthly payments . how much is each payment ?
Answers
Answer: $459 each month
Step-by-step explanation:
Paisley's mom is paying the loan of $22,032 in 48 equal monthly payments.
In order to find how much each month's payment would be you divide the loan by 48.
22,032 ÷ 48 = 459
Paisley's mom would need to pay $459 each month for 48 months to pay off her loan.
5x+3y=-21 into slope intercept form
Answers
Answer:
y = 5/3x - 7
Step-by-step explanation:
5x + 3y = -21
5x - 3y = -21
-3y = -5x - 21
-y = -5/3x + 7
y = 5/3x - 7
Kayden Kohl
8th Grade Student
Answer:
Step-by-step explanation:
Y=5/3x -7
Given trapezoid WXYZ, what is XY?
Answers
Answer:
XY = 16 ft
Step-by-step explanation:
The mid segment DE is half the sum of the parallel bases, that is
[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )
XY + WZ = 40
XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )
2XY + 3XY = 80
5XY = 80 ( divide both sides by 5 )
XY = 16
When can you write ratios as fractions?
Answers
Given a ratio of two decimals, write it as a fraction
Given a ratio of two mixed numbers, write it as a fraction
In the base-ten number system, ten digits {0, 1, 2, 3, 4, 5, 7, 8, 9) are used for number
representations. The base-ten number 825 therefore means 8 x 102+2 x 10+5 x 1
Similarly, in the base-three number system, three digits {0, 1, 2) are used for number
representation. A base-three number 1212 means 1 x 3 +2 x 32 + 1 x 3+2 x 1. What
is the base-three representation of the base-ten number 35?
Answers
Answer:
..............I think its wrong .......
Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?
Answers
Answer:
5 /12
Step-by-step explanation:
Solve the system of equations by elimination:
3x+y=5
2x-2y=-2
NO LINKS PLEASE
Answers
2(1)-2y=-2
2-2y=-2
-2y=-4
y=2
So x = 1 and y = 2! :) hope this helps
Answer: (1, 2)
x = 1 and y = 2
Step-by-step explanation:
3x + y = 5 Multiply this equation by 2 => 6x + 2y = 10
2x -2y = -2 => + 2x - 2y = -2
8x = 8
**divide both sides by 8 => x = 1
*** substitute 1 for x in either equation to get y
3(1) + y = 5
-3 -3
y = 2
