Lydia has drawn quadrilateral ABCD with diagonal AC . According to her measurements, m∠DAC=m∠BCA and m∠DCA=m∠BAC . Without taking additional measurements, Lydia claims △ABC≅△CDA according to the ASA triangle congruence criteria. Explain why Lydia is correct.

Answers

Answer 1

Answer:

Lydia is correct because the ASA criterion for triangle congruence states that if two triangles have two pairs of congruent angles and the common side of the angles in one triangle is congruent to the corresponding side in the other triangle, then the triangles are congruent which would prove her statement correct.

Step-by-step explanation:


Related Questions

Two similar triangles are shown below:
Which two sets of angles are corresponding angles?​

Answers

W and V are corresponding as well as X and Y

your answer is A

you can tell by the amount of lines in each angle :)
The answer is aaaaaaaaaa

A teacher driving to a conference in a school van records the number of gallons of gas used and the number of miles traveled,
Complete the table to show the case where there is a proportional relationship between the number of gallons of gas used by the school van and the number of miles traveled.

Answers

Answer:

The answer is 275 and 12

Step-by-step explanation:

I did it in school city 2021 and Im in Honors Math please make me brainliest

Answer:

the  answer is 40-60 and the last one is 20 and 300

Step-by-step explanation:

just add them  andnadj ehado it

which of the following fractions is not simplest form

4/15

7/10

9/12

3/4

Answers

Answer:

9/12

Step-by-step explanation:

you can divide both numbers by 3 to make 3/4

taki has her back to a wall. She starts to walk straight forward. She stops and turns 157° to the right and walks back in this direction until she reaches the wall. What is the angle x that her body is making with the wall.​

Answers

Answer:

[tex]67^\circ[/tex]

Step-by-step explanation:

Given that:

Initially, Taki has her back to a wall and then starts walking straight forward.

Kindly refer to the diagram attached in the answer area.

Initially, Taki was at point A and then moves towards point B.

At point B, Taki turns [tex]157^\circ[/tex] and then starts walking to reach point C at the wall.

To find:

The angle [tex]x[/tex] that her body is making with the wall.

Solution:

As per question statement:

[tex]M\angle B = 157^\circ[/tex]

We know that angle on straight line is always [tex]180^\circ[/tex]

i.e.

[tex]M\angle B + m\angle B= 180^\circ\\\Rightarrow 157^\circ + m\angle B= 180^\circ\\\Rightarrow m\angle B = 180-157\\\Rightarrow m\angle B = 23^\circ[/tex]

Now, using the angle sum property of a triangle in [tex]\triangle ABC[/tex]:

[tex]m\angle A + m\angle B+ m\angle C = 180^\circ\\\Rightarrow 90+23+x = 180^\circ\\\Rightarrow x = 180 - 90 - 23\\\Rightarrow x = \bold{67^\circ}[/tex]

So, our answer is: [tex]67^\circ[/tex]

pls answer
Which point is a reflection of M(-5, -6) across the y-axis?
A.
point P
B.
point Q
C.
point R
D.
point S
E.
point T

Answers

Answer:

p

Step-by-step explanation:

its beginning to look a lot like christmas

7- (2x + 1) + 4x
help pls

Answers

2x+6 is the right answer

5%of =13
what is the answer​

Answers

The answer is 0.65 to 5% of 13

3/4 of ... is 15/28

what is the ...

Answers

Answer:

2/5

Step-by-step explanation:

Hope you have a good day! :)

The answer would be 2/5

What property would you use to find an equivalent expression for 5(x - 2)?

Answers

Hey there!

You would use the distributive property. ( * = multiplication)

5(x - 2) = (5 * x) - (5 * 2) = 5x - 10

Hope it helps and have an amazing day!

Show me a graph of y = 2.5x.

Answers

Answer:

right, i think this is what u want. hope this helps!

Step-by-step explanation:

A recent report indicated that 22 percent of the households in a certain community speak a
language other than English at home. A reporter will randomly select a household from the
community until the first houehold that speaks a language other than English at home is
selected. Let random variable Q represent the number of attempts needed until the first
household that speaks a language other than English at home is selected. The random variable
Q has a geometric distribution with p = 0.22. Which of the following is closest to the variance
of the random variable?

Answers

Answer:

16.1157

Step-by-step explanation:

The random variable Q has a geometric distribution with p = 0.22. The variance of the random variable will be 16.1157.

What is the variance of the random variable?

A spread measure for a random variable distribution quantifies how much the values of a random variable deviate from the value that is predicted.

For a discrete random variable, the variance is determined by adding the square of the difference between the value of the random variable and the anticipated value, together with the chance that the value of the random variable will occur, across all of the values of the random variable.

It is given that 22 percent of people in the community speak a language other than English at home.

The required number of tries should be represented by the random variable Q.

The geometric distribution of the random variable Q has a p-value of 0.22.

The variance of a random variable is

V(Q) = (1-p)/p²

V(Q) = (1-0.22)/(0.22)²

V(Q) =0.78/0.484

V(Q) =16.1157

Thus, the random variable Q has a geometric distribution with p = 0.22. The variance of the random variable will be 16.1157.

Learn more about the variance of the random variable here,

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3/4 = 12/y Find the missing value

Answers

3/4 = 12/y

3/4 * y = 12

.25 * y = 12

y = 3

Hope this helps! :)

Help





G

Fjdjdhdhdhdhdhdd

Answers

Answer:

The answer is 40

Step-by-step explanation:

in this question wave to find the perpendicular side of the triangle we apply the formula (perp)2 = (hyp)2-(base)2 and then after simplifying it do the square of it the answer comes 40

hope it will help you a lot

which is the angle of elevation from the submarine to the boat? <1, <2 ,<4 <3

Answers

Answer:

<1

Step-by-step explanation:

When an observer is at the same level with the submarine, his line of sight above the horizontal upward to the boat would form an angle called the angle of elevation.

Thus, the angle of elevation from the submarine to the boat is marked as <1. <1 is the angle of elevation from the submarine.

The graph shows the function
y
y = sin(x) + 6
1 -
$
y = cos(x) - 6
y = sin(x) - 6
y = cos(x) + 6
-8
DONE

Answers

Answer: y=sin(x)-6

Step-by-step explanation: I guessed and got it right lol

In 3x + 5y - 6 the coefficient of y is ?

Answers

The coefficient is the number on the variable. So the answer is 5

Elena multiplies 0.06x0.5 on a calculator. the calculator shows a product of 0.03. Elena says the calculator must be broken because multiplying tenths by hundredths always gives a product in the thousands. is Elena's calculator broken?

Answers

Answer:

It is not broken

Answer:

it’s B:)

Step-by-step explanation:

Which simplified ratio correctly compares 30 inches to 2 feet?
01:15
O 15:1
O 5:4
04:5

Answers

Answer:

15:1

Step-by-step explanation:

30/2=15

2/2 = 1

15:1

What is the area of the triangle

Answers

Answer:

24

Step-by-step explanation:

8 × 6 = 48

48 ÷ 2 = 24

hope this helps...

Answer: 24



Explanation:


The equation for the area of a triangle is 1/2 bh. In this problem, we would start by substituting it into that equation.


1/2 (6) (8)


6 times 8 is 48.


1/2 (48)


and 1/2 times 48 is 24.



Thus, our solution is 24.


hope this helps !! have a great day :))

Solve the equation 1/4(16+12x) =28 by first using the distributive property​

Answers

Answer: x=8

Step-by-step explanation:

Answer:

The equivalent equation is found by distributing the 1/4 to get 4 + 3x = 28

The first step is subtract 4 to both sides.

The second step is divide both sides by 3.

The answer is x = 8

i did it wrong in edg, but it shows the correct answers at the end :)

When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 8.5% and you want to have $500,000 when you retire in 45 years, how much would you need to deposit, at the beginning of each month, to reach this goal?

Answers

Answer: The answer is A

Somebody please explain to me how to do this

Answers

Answer:

g(x)=x^2 + 3

Step-by-step explanation:

The radius of a circle is 12.25 centimeters. What is the circumference of the circle?
O38.465 cm
O76.93 cm
0 78.5 cm
O15.39 cm

Answers

Answer:

76.9 cm

Step-by-step explanation:

circumference of a circle = 2 π r

where r = 12.25 cm radius

plugin values into the formula:

circumference of a circle = 2 π (12.25)

                                          = 76.9 cm

Michelle bought 3 pounds of apples for $2.77 per pound. How much did she spend on three pounds of apples?

Answers

Answer:

3x-20

Step-by-step explanation:

Answer

8.31

Step-by-step explanation:

2.77 * 3 = 8.31

to check my answer i did addition

2.77 + 2.77 + 2.77 = 8.31

The purple figure is composed of small squares with side-length 1 unit and curves that are an arc of a circle.

Area of the circle:

Perimeter of the circle:

Answers

Answer:

Area = 3.141593 units ²

Perimeter = 6.283185 units

Step-by-step explanation:

Area = πr² = π1² = 3.141593 units ²

Perimeter = 2πr = 2π(1) = 6.283185 units

Select the correct answer.
The dot plot shows the highest daily temperature recorded in a city each year for the past 15 years. What is the interquartile range of the data?



A.
97
B.
6
C.
98
D.
4

Answers

Answer:a

Step-by-step explanation:

I would explain but it’s a lot of work sorry

Answer:

it's 4 because i got it right         100%

Step-by-step explanation:

86
Work out the size of angle x.
51

Answers

The answer would be 129 degrees!

x + 51 = 180
x + 51 - 51 = 180 - 51
x = 129

the angle below 51 degrees would be complementary angles with x and so it would also have 51 degrees above x. 51 degrees and x are supplementary angles. supplementary angles are two angles that have a sum of 180.
hope that helps!!

The measure of angle x is 129 degrees.

Given that the two parallel lines making angles 51° and x°, these are consecutive angles between the parallel we need to find the measure of x,

So, we know that,

If two lines are parallel, the consecutive interior angles formed by a transversal are supplementary, meaning their measures add up to 180 degrees.

In this case, we have one angle measuring 51 degrees. Let's denote the other angle as x degrees.

Since the angles are consecutive, their measures add up to 180 degrees:

51° + x° = 180°

To find the value of x, we can solve this equation by isolating x:

x° = 180° - 51°

x° = 129°

Therefore, the measure of angle x is 129 degrees.

Learn more about consecutive interior angles click;

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8.
+
-8-64
2
2
68
-4
-6
-8-
For what value of y do both equations have the same solution for x?

Answers

Answer:

4

Step-by-step explanation:

The y-coordinate of the point where both lines intersect will give us the same solution for x.

At y = 4, both equations will have a corresponding x-value of 1.

Therefore, the value of y that that will make both equations have the same solution of x is 4.

I will give brainiest to whoever answers correctly !!

Answers

Answer:

27.4

BUT I AM NOT SURE IF ITS CORRECT!!!!

Step-by-step explanation:

REFER TO PIC ATTACHED

HOPE IT HELPS

PLEASE HELP, WILL GIVE LOTS OF POINTS & BRAINLY
solve the 2 questions!

Answers

Answer:

5) we get a=6

6) we get c=8

Step-by-step explanation:

The triangles given are similar.

When the triangles are similar, the ratio of corresponding sides are also similar.

5) If c = 12, find a

We will use the ratio

[tex]\frac{30}{12}=\frac{15}{a}[/tex]

Now cross multiply to find value of a

[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]

So, we get a=6

6. If b = 6.4, find c

We will use the ratio

[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]

Now cross multiply to find value of b

[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]

So, we get c=8

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