Answer:
AC is perpendicular to BD.
Further explanation
We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.
The length of the base of the triangle is the same, i.e., .
In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:
∠ACB = ∠ACD
- - - - - - - - - -
The following is not other or additional information along with the reasons.
∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and
∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.
no, because already marked.
- - - - - - - - - -
Notes
The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
Learn more
Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
Step-by-step explanation:
Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + = 0
A. -6.7 + 6.8 B. -6.7 + ( - 6.6) C. 7.2 + ( -7.2) D. 7.2 + (-7.3)
we have -4.5 + 4.4 + x = 0
<=> -0.1 + x = 0
<=> x = 0.1 ( P/s: x is the answer to fill in the blank )
Now look in the answer below we have :
+) A. -6.7 + 6.8 = 0.1 (S)
+) B. -6.7 +(-6.6) = -13.3 (NS)
+) C. 7.2 + (-7.2) = 0 (NS)
+) D. 7.2 + (-7.3) = -0.1 (NS) ( P/s: NS : not selected , S : selected )
So A is the correct answer
Ok done. Thank to me :>
Answer:it is D
Step-by-step explanation:
What is the area of a semicircle with a diameter of 8 feet? Estimate using 3.14 for TT
A) 25.12 ft ²
B) 50.24 ft²
C)200.96 ft ²
D) 100.48 Ft²
Step-by-step explanation:
So r = D ÷ 2
Since the area of a circle = πr²
then the area of a semi-circle = (¹/₂π (¹/₂D)²)
Area of a semicircle given the diameter = (¹/₂π (¹/₂D)²)
= (¹/₂(3.14) (¹/₂ 8ft)²)
= 25.12 ft²
Which is bigger 12 cm or 102 mm
On comparing the quantities 12 cm or 102 mm, 12 cm (120 mm) is greater than 102 mm.
To compare the sizes of 12 cm and 102 mm, both numbers should have the same unit.
Now, the conversion factor cm and mm is
1 cm = 10 mm
Then, using the conversion factor convert 12 cm to mm
12 cm = 12 x 10 mm
= 120 mm
Now, compare 120 mm and 102 mm which gives 120 mm is greater.
Thus, 12 cm is greater than 102 mm.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ4
Tute Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $ Submit
Answer:
$68.53. 67%
Step-by-step explanation:
$68. 58 I think I'm not sure
the cost of 20 ounces of turkey is 4.20 dollars what is the cost per ounce of turkey?
Answer:
0.21
Step-by-step explanation:
(I really need help ASAP)
Solve the exact solutions to the following linear systems using the most appropriate strategy
a.
2/5x – 2y = 9
y = 5x + 1
b.
15 = 3m + 5n
2x - 9y = 10
Answer:
a= 10 b=1
Step-by-step explanation:
I had the same question
Line A has a slope of -
and passes through the point
Line B has a slope of 3 and passes through the point (-32, -2)
Find the point where line A intersects line B.
Answer:
Graphing
Step-by-step explanation:
Refer to the image below!
A closed circular cylinder has a diameter of 21 cm and height of 14.5 cm find it total surface area
Answer:
this is the correct answer happy
3х – 2y = 27
=
3х -
у = 24
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-2*y-(27)=0
STEP1:
Equation of a Straight Line
1.1 Solve 3x-2y-27 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000
y-intercept = 27/-2 = -13.50000
Calculate the X-Intercept :
When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000
x-intercept = 27/3 = 9
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 3.000/2.000 = 1.500
Geometric figure: Straight Line
Slope = 3.000/2.000 = 1.500 x-intercept = 27/3 = 9 y-intercept = 27/-2 = -13.50000what is the slope?
what is the y-intercept?
is it positive or negative?
Answer:
A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.
Step-by-step explanation:
Answer:
Slope = m = 2
b = 0
Positive
Step-by-step explanation:
Use formula y=mx+b
y= 2X = 2X+0
m is the number multiplied by X
m = 2
m is greator than zero so the slope is positive
when b is not shown then it is zero
Please help me . Thank you
Answer: 36
Step-by-step explanation:
K(x) = 2x^2 - 5x + 3
K(-3) = 2(-3)^2 - 5(-3) + 3
K(-3) = 2*9 + 15 + 3
K(-3) = 18+15+3
K(-3) = 36
a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?
Answer: 57
Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.
It takes 25 minutes to prepare the cake mixture and 70 minutes to bake in the
Kirsty is going to make a birthday cake for the party.
Kirsty then needs three quarters of an hour to decorate the cake.
The cake needs 1.5 hours to cool before decorating.
She wants to finish decorating the cake at least 2 hours before the
oven.
party starts.
The party starts at 2.30 pm.
What time should Kirsty start making the cake?
Show why you think this.
Answer:
she will start making it at 10 am
f(x)=3/5x-4/3 What x value makes f(x)=0
(will give brainliest to whoever answers first)
Answer:
3
Step-by-step explanation:
help me with this math work please
what is the equation to solve this
Answer:
p=(180.50-19.50)/23
Step-by-step explanation:
peter cuts a piece of string into three lengths one is 4.26cm long one is 7.54cm long and the third is 3.90cm long how long was the string before it was cut
Answer:
15.70cm
Step-by-step explanation:
add to get total
4.26+7.54+3.90
Answer is 15.70cm
Answer:
15.7 cm
Step-by-step explanation:
The 3 lengths are of 3 strings that used to make up 1 string, so add all 3 lengths to find the length of the string before it was cut.
Write 5×100+9×1+3×1/100+7×1/1000 in standard form
Answer:
512.017
Step-by-step explanation:
Just multiply all the numbers and add them as you go along to make one number.
Can some help me plzzzz
Answer:
Should be 9 grams
Step-by-step explanation:
240÷40=6 576÷2÷2÷2÷2÷2÷2=9
If r= 13.5 cm, q = 16.2 cm, p = 18cm, and o = 8.1 cm, what is the measure of n?
The Happy Paws pet store holds obedience classes for newly adopted puppies. On the first
night of class, the instructor separates all of the puppies into 11 equal groups. Each group
has 3 puppies in it.
Use an equation to find the number of puppies in the class.
Answer:
33 is the correcr answeerrr
Step-by-step explanation:
11x3 is 33
PLZ HELP!!!!!!!!!!!!!!
Answer:
183in^2
Step-by-step explanation:
Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.
15x26=390in
We now want to figure out the small rectangle on the bottom of the image.
The area of a triangle is A=hb/2
A=6x15/2=45
In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.
45x2=90
Finally, we can solve for the remaining triangle.
A=9x26/2=117
Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.
390-(90+117)=183in^2
Hope this helps :)
Find the perimeter.Simplify your answer.
Answer:
22w - 18
Step-by-step explanation:
To find the perimeter we have to add up all the sides
10w-10+w+1+10w-10+w+1
combine light terms
22w - 18 would be our answer
Answer:
2(10w-10)+2(w+1) =
20w-20+2w+2 =
22w-18
True or False?
If you graph the points (2,4) and (-1.-1). Do they would represent a proportional
relationship.
Answer:
1
Step-by-step explanation:
is this true or false |-2.9|> 2.6
Hello! :)
I will start by explaining what the l l notation means.
It means "absolute value" or a number's distance from zero.
Absolute value is always positive. Remember this:
lal=a
l-al=a
Now, using this, let's solve our math problem.
l-2.9l>2.6
2.9>2.6
Is this statement true? Is 2.9 greater than 2.6? Yes, it is. Therefore, the statement is true.
Hope it helps.
Feel free to ask me if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
Answer:
True
Step-by-step explanation:
The absolute value of -2.9 is 2.9.
So 2.9>2.6
Remember, the absolute value of a number is always nonnegative (positive or zero). If a number is negative, negating that number will make it positive.
The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answer:
34
Step-by-step explanation:
634 - 600 = 34
Please help me please help me please help me
Answer:
d.
took the test
Step-by-step explanation:
how do we do thisss
3^-2 × 3^x = 81
Answer:
x = 6
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then
[tex]3^{-2}[/tex] × [tex]3^{x}[/tex] = 81 , that is
[tex]3^{x-2}[/tex] = [tex]3^{4}[/tex]
Since the bases on both sides are equal, both 3 then equate the exponents
x - 2 = 4 ( add 2 to both sides )
x = 6
Y=x+2 slope intercept form
Y+3=-1/4x
[tex] \: [/tex]
= m = 1 , b = 1step-by-step explanation
[tex]y = x +2[/tex]
the coefficient is 1[tex]y = 1x + 1[/tex]
identify the slope,since the equation is written in slope-intercept form y=mxb, identify the slope of the line as the coefficient next to the variable x
[tex]y = 1x + 1 \: ,m = 1[/tex]
identify the y-intercept[tex]y = 1x + 1 \: ,m = 1 \: ,b = 1[/tex]
the slope is m=1 and the y-intercept is b=1so the answer to the equation is
[tex] = m = 1,b = 1[/tex]
hope it helps[tex] \: [/tex]
#1
[tex]\\ \sf\longmapsto y=x+2[/tex]
Slope intercept form=y=mx+b
On comapring we get
m=1b=2#2
[tex]\\ \sf\longmapsto y+3=\dfrac{-1}{4}x[/tex]
[tex]\\ \sf\longmapsto y=-\dfrac{1}{4}x-3[/tex]
m=-1/4b=-3An Uber ride costs a flat rate to start the ride and then charges an additional amount per mile. By the 3rd mile, the total cost of the trip is $9. By the 7th mile, the total cost is $17. What is the flat rate that Uber charges and how much does it cost per mile?
Step-by-step explanation:
the function is
ride cost c = mile rate r × miles m + flat rate f
c = r×m + f
now let's put the values in we know and solve for r and f :
9 = r×3 + f
17 = r×7 + f
now, since one term is the same in both equations, we use a simple trick for speed, and we subtract the whole first equation from the second :
17 = r×7 + f
- 9 = r×3 + f
-------------------
8 = r×4 + 0
r = 8/4 = $2
9 = 2×3 + f = 6 + f
f = $3
the first rate is $3, and it costs $2 per mile.