Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS
Answers
The answer is actually A. HL
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Option A is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
We see that,
ΔBDA and ΔDBC are both right triangles.
Now,
DC = AB (hypotenuse) (given)
DB = DB ( Common sides )
CB = DA ( Remaining side of the right triangle )
ΔBDA ≅ ΔDBC
Proved by HL.
Thus,
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
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Related Questions
The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y
Answers
Given:
[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]
To find:
The GCF of given expressions.
Solution:
The factor forms of given terms are:
[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]
[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]
Now, greatest common factor (GCF) of given terms is
[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]
[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]
So, the GCF of given terms is 9uy.
Therefore, the correct option is A.
Meredith earns 17.00 per hours at her job. She works 40 hours Per week and gets paid every two weeks. Meredith pays 1/4 of each paycheck in taxes. If Meredith earns a 10% raise in her hourly pay how much more will she pay in taxes
Answers
Answer:
34
Step-by-step explanation:
Amount earned per hour = 17.00
Total hours worked = 40 hours
per week
Total amount earned in two weeks = 2(17.00 × 40)
= 2(680)
= 1,360
Tax = 1/4 of her paycheck
= 1/4 × 1,360
= 1,360/4
= 340
If Meredith earns a 10% raise in her hourly pay
Amount earned per hour = 10% of 17.00 + 17.00
= 0.1 × 17.00 + 17.00
= 1.7 + 17.00
= 18.7
Total hours worked = 40 hours
per week
Total amount earned in two weeks = 2(18.7 × 40)
= 2(748)
= 1,496
Tax = 1/4 of her paycheck
= 1/4 × 1,496
= 1,496/4
= 374
how much more will she pay in taxes
= 374 - 340
= 34
Which of the following is equal to the square root of the cube root of 6 ? (1 point)
Select one:
a. 6 to the power of 1 over 6
b. 6 to the power of 1 over 3
c. 6 to the power of 2 over 3
d. 6 to the power of 3 over 2
Answers
Answer:
b
Step-by-step explanation:
the green shape is a dilation of the black shape.what is the scale factor of the dilation?
Answers
Answer: 5
Step-by-step explanation:
Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]
Given: Black triangle ( original) having perpendicular with length 4 units. [2 blocks above and 2 boxes below the x-axis ]
Green triangle ( image) having corresponding side as 20 units [10 blocks above and 10 boxes below the x-axis ].
Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]
Hence, the scale factor of the dilation = 5
The lunch lady has 3 pounds of lasagna. If she makes 1/6 pound servings using this amount of lasagna, how many servings can she make?
Answers
Answer:
She can make 18 servings.
Step-by-step explanation:
We can simply multiply 3 by 6 to get the number of servings.
This is the same as dividing 3 by 1/6 since dividing is the same as multiplying the reciprocal.
Help?????????? Please
Answers
Answer: 2 cups of water to 8 cups of flour
Step-by-step explanation:
Answer:
2 cups of water to 8 cups of flour
Step-by-step explanation:
i need these from least to greatest A.11^4/11^11 B.1/11^-4 C.(11^-3)^-3 D.11^5•11^2
this is for 30 points
Answers
Answer:
[tex] \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]
Step-by-step explanation:
[tex]A) \frac{ {11}^{4} }{ {11}^{11} } = {11}^{4 - 11} = {11}^{ - 7} \\ \\ B)\frac{1}{ {11}^{ - 4} } = {11}^{4} \\ \\C) ( {11}^{ - 3} )^{ - 3} = {11}^{ - 3( - 3)} = {11}^{9} \\ \\ D){11}^{5} . {11}^{2} = {11}^{5 + 2} = {11}^{7} \\ \\ \because \: {11}^{ - 7} < {11}^{4} < {11}^{7} < {11}^{9} \\ \\ \therefore \: \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]
Answer:
A.11^4/11^11
Step-by-step explanation:
Identify the solution that has grouped the like terms correctly.
-2+6y+m-2y+8-4m
Answers
Answer:
C
Step-by-step explanation:
The terms with the same variable are like terms.
I’ll give brainliest
9x^2+3x^3
Answers
Answer:
9x² + 3x³ = 3x²(3 + x)
Step-by-step explanation:
9x² + 3x³ = 3x²(3 + x)
Answer:
3x²(3 + x)
Step-by-step explanation:
9x² + 3x³
3x²(3 + x)
I hope this helps
What is the value of x?
Answers
Answer:
x= 120 degrees
Step-by-step explanation:
A straight line is 180 degrees.
meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.
80+40= 120 and since x is equal to the inner corner, x is 120.
Solve for the variable using Trig ratio.
Answers
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(50)° = [tex]\frac{x}{6}[/tex]
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(23)° = [tex]\frac{a}{15}[/tex]
a = 15sin(23)°
a = 5.86
pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?
Answers
Answer:
36 degrees
Step-by-step explanation:
So, first of all, the interior angles of any triangle add up to 180.
First, you add up all the numbers in the ratio.
13+23+9=45
180/45=4 [To find out how much each piece really equals]
So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.
4*9=36
Hope it helped, tell me if it's wrong, I'll correct it.
Answer:
36
Step-by-step explanation:
Ratio = 13 : 23 : 9
The interior angles are = 13x , 23x , 9x
13x + 23x + 9x = 180 {Angle sum property}
45x = 180
x = 180/45
x = 4
Most acute angle = 9x = 9*4 = 36
2=b-7 solve this question please
Answers
Answer: 9=b
Step-by-step explanation:
2=b-7
Add 7 to both sides
2+7=b
9=b
Answer:
b = 9
Step-by-step explanation:
2 = b - 7
add 7 to both sides
9 = b
Question 4, I do not understand how they figure It out. Please explain
Answers
Answer:
I saw this hope it helps
Patrice has 18 square tiles that she will lay side-by-side to form a rectangle. Name the dimensions of three different rectangles she can form
Answers
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
9x2=18
6x3=18
1x18=18
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
Hope this helped have an amazing day!
What is the answer to the division problem shown?
9)4590
Answers
Answer:510
Step-by-step explanation:Can double check internet
A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?
Answers
Answer:
The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)
Step-by-step explanation:
The initial location of the robots hand = (-20, 0)
The angle through which the robot rotates his hand = 45°
∴ We have the length of the robots hand = 20 inches
We note that (-20, 0) is in the 2nd Quadrant
The location of the robots hand after rotating 45° counterclockwise = 135°
Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°
Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)
At a local restaurant, 40% of the lunch customers order a hamburger, 70% of the lunch customers order French fries, and 30% of lunch customers order both a hamburger and French fries. If a lunch customer is randomly selected from this restaurant, what is the probability that the customer order fries if we know they ordered a hamburger?
0.40
0.40
0.43
0.75
0.30
Answers
Answer:
hola anyone got tacos
Step-by-step explanation:
The probability that a customer orders fries given that the customer orders hamburger is 0.75
To solve this, we make use of the following representations
A represents the event that a lunch customer orders a hamburgerB represents the event that a lunch customer orders a French friesSo, we have:
[tex]P(A) = 40\%[/tex]
[tex]P(B) = 70\%[/tex]
[tex]P(A\ n\ B) = 30\%[/tex]
The probability that a customer orders fries given that the customer orders hamburger is calculated as:
[tex]P(B | A) =\frac{P(A\ n B)}{P(A)}[/tex]
So, we have:
[tex]P(B | A) =\frac{30\%}{40\%}[/tex]
[tex]P(B | A) =0.75[/tex]
Hence, the probability that a customer orders fries given that the customer orders hamburger is 0.75
Read more about probabilities at:
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Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6
Answers
Answer:
55 + 14[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis
= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms
= 55 + 14[tex]\sqrt{6}[/tex]
b +cV 6 ÷12a
Step-by-step explanation:
let meknow 8i I am wrong
Order the set of integers from greatest to least. {6, 17, -20, 15, -19, 26}
Answers
As a lifeguard, Sara earns a base pay of $80 per day. If her day involves swim instruction, Sara earns an additional $9 per hour, where t represents the number of hours she gives instruction.
Part A: Write an expression to represent how much money Sara earns in a day
Part B: Evaluate your expression to determine how much money Sara earns if she does 7 hours of swim instruction
Answers
Answer:
Part A: y = 9t + 80
Part B: $143
Step-by-step explanation:
When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......
Let "y" be the among of money Sara will get paid at the end of the day. then...
y = 9t + 80
In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......
y = 9t + 80
y = (9)(7) + 80
y = 63 + 80
y = 143
In a bouquet of flowers, there are 7 daisies and 19 roses. Write the ration of daisies
to roses in three different ways.
A. 7 to 19, 7:19, 7/19
B.19 to 7, 19:7, 1977
C.7 to 19, 19:7, 1977
D.19 to 7, 7:19, 7/19
Answers
Answer:
A
Step-by-step explanation: : )
hii please help mee urgent :)
Answers
Answer:
The answer is C.
explanation:
The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.
sorry if its wrong, but pretty sure im right.
What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=
Answers
Answer:
Step-by-step explanation:
In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......
1) 52 + 122 = [tex]c^{2}[/tex]
174 = [tex]c^{2}[/tex]
[tex]\sqrt{174} =c[/tex]
13.190905 ≈ c
2) 25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
3) 169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
Hope this helps :)
The length of the hypotenuse 13 units.
What is a hypotenuse?A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Given that, A right triangle has side lengths 5 inches and 12 inches.
Using Pythagoras theorem,
h = √5²+12²
h = √25+144
h = √169
h = 13
Hence, the length of the hypotenuse 13 units.
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PLEASE HELP ME OUT I NEED HELP
Answers
4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%
Answers
Answer:
what are you asking though
Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?
Answers
Answer:
60 I
Step-by-step explanation:
because it would be 15 times 4 right I think
Answer the question below?
Answers
the figure is regular quaidlater
the sum of all interior angle is 360
measure of angle = 360/4
= 90
so the exterior angle is 90 ( by linear pair)
Write a linear function f with the given values.
f(x) =
Answers
Answer:
f(x) = -2x + 1
Step-by-step explanation:
A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help
Answers
Answer:
$3.38
Step-by-step explanation:
8/1.5=18/x
18*1.5/8
3.375
or 3.38
Hope this helps plz hit the crown :D
Answer:
18=3.38
Step-by-step explanation: