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.
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Related Questions
What is the slope for this table?
Answers
Answer:
look at the picture ..........
solve for x in the triangle
Answers
Answer:
x=9
Step-by-step explanation:
Since the sides are the same, the base angles must be the same
8x+2 = 10x-16
Subtract 8x from each side
8x+2-8x =10x-16-8x
2 = 2x-16
Add 16 to each side
2+16 = 2x-16+16
18 =2x
Divide by 2
18/2 =2x/2
9 =x
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answers
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
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Find the x-intercept of y=1/2x-4
Answers
Answer:
X=1/2
Step-by-step explanation:
Y=mx+b
12×6×2+10×6×2+12×10×2
Answers
Answer:
504
Step-by-step explanation:
The answer is 504.
Thank me later
PLEASE HELP, DUE TOMORROW
Answers
Find the perimeter. Simplify the answer
Answers
Answer:
Perimeter = 16c + 24
Step-by-step explanation:
Perimeter = 4c + 7 + 4c + 7 + 8c + 10
Perimeter = 16c + 14 + 10
Perimeter = 16c + 24
-Chetan K
16c + 24
Step-by-step explanation:
To Find the perimeter we add
all the sides,
= > 4c + 7 + 4c + 7 + 8c + 10
= > 16c + 24...ans
Hope it Helps you!!can someone please help me with this
Answers
Answer:
y-intercept =3
x-intercept =3/2
slope =-2
Step-by-step explanation:
y=-2x+3
0=-2x+3
2x=3
x=3/2
I just woke up i need help ;-;
Answers
Answer:
i think that the correct answer is 7/12
a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?
Answers
Answer: 25 pencils
Step-by-step explanation:
2 × 5 = 10
5 × 5 = 25
By VCR Sales A dealer carries two models of VCRs. One sells for
$300 and the other sells for $225. The dealer sells 22 VCRs for a
total revenue of $5700. How many of each type did the dealer sell?
Answers
Answer:
2333
Step-by-step explanation:
The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?
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Answer:
1489
Step-by-step explanation:
Graph 4x + 7y ≤ 28 in the first quadrant of the coordinate plane.
Answers
Answer:
StGraph the line using the slope and y-intercept, or two points.
Slope: −47
y-intercept: (0,−4)
x y
−7 0
0 −4
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
Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?
A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5
Answers
Answer:
B : y = 0.1x + 5
Step-by-step explanation:
using the y = mx + b equation
b is the intercept on the y axis ( x = 0)
m is the slope of the line.
From the graph we can see that the intercept is (0,5), therefore b = 5;
To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)
m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1
m = 0.1
therefore in y = mx + b
y = 0.1x + 5
Mark has 2,250 t-shirts to sell. He sold 25% of the
shirts on Monday, 45% on Tuesday and the rest on
Wednesday. How many shirts did he sell on
Wednesday?
Answers
Answer:
1575
Step-by-step explanation:
What equation represents this sentence?
28 is the quotient of a number and 4.
28=n4
4=n28
4=28n
28=4n
Answers
The equation represents this sentence"28 is the quotient of a number and 4" will be n/4=28.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero.
It is given that, 28 is the quotient of a number and 4.
The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.
Suppose the number is n,
n/4=28
Thus, the equation represents this sentence"28 is the quotient of a number, and 4" will be n/4=28.
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A fabric store is having a sale. Fleece fabric has an original price of $18 per yard. It is on sale for 30% off the original price. Find the sale price of the fleece fabric.
I seriously needed answers since I'm running out of time
Answers
Answer:the answer is 5.4
Step-by-step explanation:
thats the answer because it says per means to multiply so i'd multipled 18x 30%
answer it pls
pls
pls
Answers
Answer:
The probability that a letter at random is from V is 5/26 or 19.23%
Solve the conjunctions below.
2 < x/3 - 5 < 6
3 < 2(x + 2) - 7 ≤ 13
Answers
Answer:
top: 21 < x < 33
bottom: 3 < x ≤ 8
Step-by-step explanation:
what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..
(with solution)
PA HELP PO THANKYOUU~
Answers
Answer:
127/64
Step-by-step explanation:
1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64
add all the given and it will result to 127/64
Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.
A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P
Answers
Is the correct answer
Answer:
A. 10A+10P+54
Step-by-step explanation:
PLEASE HELP I DONT UNDSRSTANT
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Answer:
B. 28.5
Step-by-step explanation:
Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...
A + B + C = 180°
C = 180° -A -B = 180° -32° -25° = 123°
The Law of Sines tells you ...
c/sin(C) = a/sin(A)
c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)
c ≈ 28.5
_____
Additional comment
The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:
a/sin(A) = b/sin(B) = c/sin(C)
In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.
This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.
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What do you need help with? Are you in danger?
f (x)=x^2 what is g (x)
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Answer:
Answer is X =0
Step-by-step explanation:
I Found This on a app
The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be divided between the six classes. If each class sold a different quantity, what would be the most equitable way to divide the money based on their sales ? If 8, 200 candy bars were sold, simulate how you divide the money between the six classes .
Answers
Answer:
8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.
If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.
someone pls help it’s due today :(
Answers
180 - 28 - 14 = 138
so 12x - 18 = 138
x = 13
8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle
Answers
The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1
Answers
Answer:
C) Reject null, because 15 is not in the interval.
Step-by-step explanation:
This recipe makes 8 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?
Recipe: Makes 8
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 mL milk
1 egg
2 tablespoons (tbsps) oil
Answers
Answer:
If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)
135 x 3 = 405
1 x 3 = 3
2 x 3 = 6
130 x 3 = 390
1 x 3 = 3
2 x 3 = 6
So Sanjay would need the following to make 24 pancakes:
405g flour
3tsp baking powder
6tbsps sugar
390mL milk
3 eggs
6tbsps oil
Answer:
405 g flour
3 tsb baking soda
6 tbsps sugar
390 mL milk
3 eggs
6 tablespoons oil