For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°. (1 point) ∠Q≅∠F ∠R≅∠F DE¯¯¯¯¯¯¯¯≅PQ¯¯¯¯¯¯¯¯ ∠E≅∠Q

Answers

Answer 1

Answer:

∠Q≅∠F

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.

Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.

Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore:

DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q


Related Questions

A family is renting an apartment. For 2007, the rent is 1634 per month. The monthly rent for 2007 is 7.5% higher than the monthly rent in 2006. Determine the monthly rent in 2006

Answers

Answer:

$1634*.925=$1511.45

Step-by-step explanation:

100%-7.5%=92.5% / 100 = .925 then multiply by the value of 2007 which is $1634... 1634*.925=1511.45  

7 plus twice a number.

Answers

Answer:

7+4

Step-by-step explanation:

Answer:

7 + 2x

Step-by-step explanation:

This is for Geometry.
If it is blurry Zoom in.
Please helps me, Thx!

Answers

Answer:

Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).

A parallelogram is transformed according to the rule (x, y) - (x. y). Which is another way to state the
transformation?
O R0 90 degrees
O R0 180 degrees
O R0 270 degrees
O R0 360 degrees

Answers

I think it is R0 360

U
Question 9
10 pts
Solve this system of equations using substitution algebraically. Check your answer using
substitution.
3x + 4y = 36
y= x+8

Answers

Answer:

x = 4/7

y = 60/7

Step-by-step explanation:

3x + 4y = 36

y = x + 8

Substitute the second equation into the first since it already has the y isolated for you:

3x + 4(x + 8) = 36

3x + 4x + 32 = 36

7x = 4

x = 4/7

Take the answer you got from the equation above and plug that into the second equation:

y = 4/7 + 8

y = 60/7

To check just LS/RS both equations:

3(4/7) + 4(60/7) = 36

12/7 = 240/7 = 36

252/7 = 36

36 = 36

LS = RS

60/7 = 4/7 + 8

60/7 = 60/7

LS = RS

Help I give brain help please

Answers

Answer:

x > 3

Step-by-step explanation:

180x > 540

x > 540/180

x > 3

Pllzzzzzzz help now it’s due today

Answers

Answer:

Step-by-step explanation:

Is × = 12 a solution to the equation 6 + × 19?

A. no, because 6 + 12 = 19 is not true

B. yes, because 6 + 12 = 19 is true

C. no, because 6 + 12 = 19 is true

D. yes, because 6 + 12 = 19 is not true​

Answers

A. Is the answer

It equals 18 so it is not true

What are fractions? Plz help

Answers

fractions are numbers that are not whole, so they are represented as the top number which is how many parts there are which is called the numerator. The bottom number which is how many parts there are in total, which is called the denominator. There are improper, proper and mixed fraction.

Answer Please : )
Why negative ( - ) sign is cannot be pulled out of square root.???​

Answers

To show the negative of a square root, a negative sign would have to be placed outside the radical.

Answer:

Step-by-step explanation:

Because √-1 is an imaginary number √-1=i

They are imaginary because there are no same real numbers multiplyed that gives you a negative number

√4 = √2*2 ( +2*+2 =+4)

√4 = √-2*-2 (-2*-2 =+4)

√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)

A music club has 35 drum players. If 25% of the total number of members in the club are drum players, what is the total number of member in the club?

Answers

Answer:

140

Step-by-step explanation:

Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.

Answer:

140

Step-by-step explanation:

hope this helps get a 100%

7) What is the equation of a circle with the center (-8, 9) and the radius of 10?​

Answers

Answer:

(x+8)² + (y - 9)² = 100

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)² + (y - b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given

Centre (-8, 9) where a = -8, b = 9

radius r = 10

Substitute into the formula to get the required equation;

(x-(-8))² + (y - 9)² = 10²

(x+8))² + (y - 9)² = 10²

(x+8)² + (y - 9)² = 100

Hence the required equation is (x+8)² + (y - 9)² = 100

There is a line that includes the point (2, 10) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit

Answers

Answer:

The line is y=1x+8

Step-by-step explanation:

We can use point-slope form of a line to make an equation. Point-slope form is as follows:

y-y₁=m(x-x₁)

**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.

1. Plug in the given info:

y-10=1(x-2)

2. Distribute the 1:

y-10=1x-2

3. Add 10 to both sides:

y=1x+8

Sending Paypal to whoever gets this right ( i made this question)

Answers

BE? I don't really know lol

In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.

Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.

The graph represents which system of inequalities?

y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4

Answers

Answer:

y ≤ 3x − 1

y ≤ −x + 4

Step-by-step explanation:

an elevator can carry 800 of weight. A football player weighting 280 pounds gets on the elevator with a student. Write and solve an inequality to represent the remaining weight that can be added.

Answers

Answer:

[tex]425\geq x[/tex]

425 pounds or less can be added after the student and football player.

Step-by-step explanation:

let x = remaining weight

(note that >/= is greater than or equal to.)

800 - 280 - 95 >/= x

425 >/= x

A student put $1,200 in a savings account paying simple interest of 4.5% per year. Find the total amount of the student's savings after 5 years. A: $700. B: $1470. C: $1000. D: $400​

Answers

Answer:

(B) $1470

Step-by-step explanation:

Given that the principal initial amount, p=$1200

Rate of simple interest per year, r=4.5% = 0.045

Time, t=5 years

Interest after 5 years,

I=prt= 1200 x 0.045 x 5 = 270

Total amount = Principal initial amount + Interest

=1200+270=1470

So, the total amount of the student's savings after 5 years is $1470.

Hence, option (B) is correct.

What is 77/20 simplified

Answers

answer:
3.25 or 3 17/20

which one is the missing proof?

Answers

Answer:

By ASA congruence theorem

Step-by-step explanation:

Given:

In ΔFEG AND ΔKHG

FG = KG (Mid points)

∠EGF = ∠HGK (vertical opposite angle)

∠F = ∠K (Interior alternate angle)

So,

ΔFEG ≅ ΔKHG

By ASA congruence theorem

The first equation from the system of equations is graphed. Graph the second equation to find the solution of the system of equations. y = –x, y = 2x + 6 What is the point of intersection? (2, 1) (–1, 2) (0, 6) (–2, 2)

Answers

Answer:D

Step-by-step explanation:

just took it on edge

Answer:

The answer is d

Step-by-step explanation:

pls help I will fail 10th grade

Answers

Answer:

b

Step-by-step explanation:

Please mark brainiest

1/9 of the shirts sold at the shop are striped .5/8 of the remainder are printed .the rest of the shirts are plain shirts .if peter shop has 81 plain colored shirts how many more printed shirts than plain shirt

Answers

Answer:

Step-by-step explanation:

Let total shirts be x.

Then, Striped shirts = 1/9x

Remaining Shirts= 8/9x

Therefore, Printed Shirts = 5/8 × 8/9x

= 5/9x

Remaining Shirts

or

Plain Shirts= x - ( 5/9x + 1/9x )

= 3/9x

Acc. to problem,

Plain Shirts=81

Therefore,

3/9x=81

=> x=81×9/3

=> x=27×9=243

Therefore,

Total Shirts= 243

I hope that helps you

Answer: 54

It’s funny how I asked the same question around 10 minutes ago xD People told me it’s 54 so here you go :D

Use vector operations to draw the resultant vector

Answers

Answer:

Draw an arrow from the origin to (4, 0)

Step-by-step explanation:

u-v+w

= <-3, -4> - <-4, -1> + <3, 3>              

= <4, 0>

We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.

If we see the image, we can write the vectors as:

w = <3, 3>u = <-3, -4>v = <-4, -1>

Now we want to sum:

u - v + w

Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:

u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>

The graph of the resultant vector can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/13291928

WILL MARK BRAINLYEST

What is the equation in point-slope form of the line that passes through the points (7, 5) and (-4, – 1)?

Answers

Answer:

y - 5 = 6(x - 7)

Step-by-step explanation:

yes

Answer:

[tex]y+1=\frac{6}{11}(x+4)[/tex]

The image below shows proof that the point-slope equation [tex]y+1=\frac{6}{11}(x+4)[/tex] is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)

Hope this helps! :)

Someone please help me

Answers

The answer is counterclockwise.


Is AB congruent to CB?

Answers

Answer:

yes

Step-by-step explanation:

they are congruent

Hiking
(15,18
(10, 12)
Distance (miles)
15,6
10
15
Time
Using the data shown on the graph, which sztements are correct?
The
3
The ratio of L is consistent
The graph represents a proportional relationship
D
The grach does not represent a proportional relationship
The graph of a proportional relationship must past through. (0,0)

Answers

Answer:

I’m sorry but I don’t understand the question

Step-by-step explanation:

What is the equation of the line that passes through the point (-5,0) and has a
slope of 3/5

Quick please

Answers

Y= 3/5x - 15/5
This should be your answer
The top person is incorrect your answer is


Equation: y=3/5x+3

#1 Identify the characteristics of the quadratic graph
Vertex:
у
Axis of symmetry:
Domain:
Range:
Increase Interval:
Decrease Interval:

Answers

Vertex: (1,-3)
Y intercept: -3
Axis of symmetry x=1
Domain all real numbers
I only got these the rest I don’t know because I just started learning it but these are correct.

someone help me on this question
it's two step inequalities
i forgot how to do this​

Answers

Answer:

if I'm not wrong, its x>34

Step-by-step explanation:

multiply both sides by 3

3(x - 4)/3 > 10 x 3

x - 4 > 30 (simplify)

add 4 to both sides and x > 34

Other Questions
72.50 she worked 5 hours. If she was paid the same hourly wage, how many hours will see have to work to get 232.00 Study this unusual food chain. What could P represent?a. Any normal insect that eats grains.b. An insect that can make its own food.c. A carnivorous plant like the Venus flytrap.d. There is a mistake - nothing can match 'P'. A car journey has two stages.Stage 1: The car travels 110 miles in two hours Stage 2: The car travels 44 miles at the same average speed as stage 1Work out the time for stage 2Give your answer in minutes. to all those girls like animae boys tell me who they are, please Write the equation of the line in point-slope, slope-intercept, and standard form.38. Line passing through points (-4, 2) and (0,3) Question 6Eric is baking a cake. The recipe calls foror 2 1/2 pounds of flour for every 1/4 cup of sugar. How many pounds of flour should Eric use for 1 cup of sugar? What happens when an objectreturns to its original shape-does itstill have elastic energy? 30 P O I N T S H U R R Y 5. A team of mountain climbers makes camp 1.48 kilometers above sea level. They climb another 2.91kilometers to the mountain's peak. How tall is the mountain? A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle? Regular copyright is more restrictive than any other kind of license.-T-F For the following equations, draw a picture of the tiles on an Equation Mat. Then use legal moves to simplify and solve for the variable.a. -2+x = -x+2b. 2+3x = x+7 In chapter 7 Gatsby says that Daisy never loved Tom. Do you think this is ture? What are Daisys feelings for Tom? Give evidence from the text. Can someone help me with these pls : ( I'm confused Which sentence needs a comma?How do you know when to start running?However the children didn't want to go.Whatever you do is fine with me.We went swimming after dark. What was the significance of the opium war Which situation is best represented by the following equation?45w+123.95=753.95A.Erica paid $753.95 for dance classes. She paid $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w,the number of weeks Erica was enrolled in dance classes?B.Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?C.Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?D.Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes? If The Condition of the Working-Class in England in 1844 were made into a visual presentation, which information would be best shown to the audience as a graphic? pictures of yarn spun in England before and after the jenny a table showing the number of weavers in England before and after the jenny a graph showing how the feelings of workers changed in the nineteenth century drawings of a part-time weaver and of a full-time weaver Is this a function---------------- Mary and John are seated on a bench a distance 2 part. Suddenly, John moves closer to Mary and claims that he has been drawn by the gravitational force. Is Johns claim justifiable? Show quantitatively. (Assume the masses of John and Mary are 67 and 55 respectively, and the coefficient of static friction between John and the bench is 0.15). [4]