1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tcecarenko [31]
3 years ago
12

Given: segment PT || segment QS, segment PT ≅ segment QS, ∠T ≅ ∠S Prove: ΔPQT ≅ ΔQRS

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Segment PT || segment QS,                                  Given

segment PT ≅ segment QS,  

∠T ≅ ∠S

 

Angle TPQ = Angle SQR                      PR is a transversal  cutting parallel segments SQ and TP

                                                             So....it makes corresponding angles TPQ and SQR equal    

 

ΔPQT   ≅    ΔQRS                                ASA congruency

You might be interested in
What is the equation of the line that passes through the point 7,-3 and has a slope of -5
Oksana_A [137]
So i’m not sure about this but you would do the y=mx+b form and then since slope = m it would be y=-5x+b and then you would plug 7 and -3 for y and x and then you would get 7=-5-3=b and then solve for b
4 0
3 years ago
Read 2 more answers
I need it fasttttttttttttttttttttttttttttttttttttttttttttt<br> pls help
Otrada [13]

Answer:

a. 16 sq cm

b.20 sq cm

Step-by-step explanation:

Area of a parallelogram:

A = b•h

A = 4•4 = 16 sq cm

Area of a trapezoid:

A = 1/2(b+b)•h

A = 1/2(6+4)•4

A = 1/2(10)•4

A = 20 sq cm

6 0
3 years ago
A basket has at most 150 applies in it. Then the number of apples in the basket if the number of apples satisfy the following co
DedPeter [7]

Answer:

<em>Number of apple = 119</em>

<em></em>

Step-by-step explanation:

Given

Max_{Apple} = 150

Required

Find the actual number of apples;

When counted in any numbers, the number being counted is the divisor;

Take for instance, when counted in pairs, the divisor is 2

When counted in threes,  the divisor is 3

and so on...

So; from the question, we understand that; when the apple is counted in 2s,3s,4s,5s, and 6s; what's left is always one less than the divisor

This means that the number of apple must satisfy the following conditions

  • Less than 150
  • 1 less than the Common Multiple of 2,3,..,6
  • Divisible by 7

The common multiple of 2,3,..6 are 60, 120 ,180,240.....

Recall that, these multiples must satisfy the three conditions above;

1. Less than 150: Only 60 and 120 satisfy condition.

At this point, we'll discard other numbers (180,240,300.....)

2. 1 less than the Common Multiple of 2,3,..,6:

1 less than 60: 60 - 1 = 59

1 less than 120: 120 - 1 = 119

3. Divisible by 7

At this point, we'll divide 59 and 119 by 7 to see if they satisfy this condition;

\frac{59}{7} = 8.42857142857

\frac{119}{7}=17

The results of these division shows that 59 is not divisible by 7;

Hence, the actual number of apple is 119

<em>Number of apple = 119</em>

7 0
4 years ago
alex is going to share a bag of 24 jelly beans with his friend austin . alex gives some of the jelly beans to austin but , when
katrin2010 [14]
Austin would have 6 jelly beans and Alex would have 18 because if Alex were to have three times as many jellybeans as Austin that means Austin will have one times and Alex would have three times which equals four so you would have to divide 4÷24 which gives them six for each group
3 0
4 years ago
on a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of
Mars2501 [29]

Step-by-step explanation:

so,

1cm : 4m

that means the factor is 1/400 (as 1 m = 100 cm).

also to remember : 1 m² = 100cm×100cm = 10,000 cm²

the area of a rectangle is

length × width

if both dimensions are shortened by a factor (1/400) in our case :

length×1/400 × width×1/400 =

= length × width × 1/400² = length × width × 1/160,000

that means the area of the actual tennis court is

160,000 times the area of the blueprint picture :

160,000 × 16.25 = 2,600,000 cm² = 260 m²

we now know that the actual length of the tennis court is 400 times the length of the blueprint length :

400 × 6.25 = 2,500 cm = 25 m

7 0
3 years ago
Other questions:
  • Ray planted a square garden that covers an area of 200ft squared. How many feet of fencing does he need to surround the garden?
    14·1 answer
  • How to solve problem 13
    14·1 answer
  • Twenty-five cards are numbered from 1 to 25 and placed in a box. One card is selected at random and not replaced. Another card i
    15·1 answer
  • “Solve for x” x/3 + x-1/4 =2+x
    8·1 answer
  • The overall changein isaiah score in the first two rounds of a video games is 0 poing. if his score changed by -22 points in the
    14·1 answer
  • I have no idea how to work this one
    13·1 answer
  • Find the surface area of the figure. round to the nearest hundredth
    7·1 answer
  • Which equation is represented by the table
    8·1 answer
  • Unit 10: Circles Homework 4: Inscribed Angles <br><br> Find each angle or arc measure of mRS
    13·2 answers
  • What is the value of x??
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!