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
iogann1982 [59]
3 years ago
12

Three consecutive integers have a sum of 48 find the integers?

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

The sum of three consecutive integers is three times the middle one: if we call the middle one x, the three numbers are

x-1,\ x,\ x+1

So, their sum is x-1+x+x+1 = 3x

Which is three times the middle one.

So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.

So, the three numbers are 15, 16 and 17

You might be interested in
A triangle has interior angles equal to 55, 70 and x. What is the value of X?
podryga [215]


The answer is C. 55

You get your answer by adding together the degrees of the angles you know 55+70

That equals 125 degrees and subtract that from 180 degrees

180-125= 55

8 0
3 years ago
Segments
Kazeer [188]

Given

AB  and  CD  intersect

AC,  CB,  BD  and  AD  are congruent.

Prove that AB  is the bisector of ∠CAD and ray  CD  is the bisector of ∠ACB.

and AB  and  CD  are perpendicular.

To proof

Bisector

<em>A bisector is that which cut an angle in two equal parts.</em>

In ΔACB and ΔADB

AD = AC  ( Given )

AB = AB   ( common )

BC = DB  ( Given )

by SSS congurence property

we have

ΔACB ≅ΔADB

∠CAB =∠ DAB

∠CBA = ∠DBA

( By corresponding sides of the congurent triangle )

Thus AB is the bisector of the ∠CAD.

InΔ DAC and ΔDBC

AD = DB (Given)

AC = CB  ( Given )

CD = CD (common)

By SSS congurence property

ΔDAC≅ Δ DBC

∠  ACD =∠ BCD

∠ADC =∠BDC

( By corresponding sides of the congurent triangle )

Therefore CD is the bisector of the CAD.

In ΔBOC andΔ BOD

BO = BO ( Common )

∠BCO = ∠BDO

( As prove above ΔACB ≅ΔADB

Thus ∠ACB = ∠ADB by corresponding sides of the congurent triangle , CD is a bisector

∠BCO = ∠BDO )

 CB = DB ( given )

by SAS congurence property

ΔBOC ≅ ΔBOD

∠BOC =∠ BOD

∠BOC +∠ BOD = 180 °( Linear pair )

2∠ BOC = 180°

∠BOC = 90°

∠BOC =∠ BOD = 90°

also

In ΔCOA and ΔAOD

AO = AO ( Common )

∠ACO =∠ ADO

(  As prove above ΔACB ≅ΔADB Thus ACB = ADB by corresponding sides of congurent triangle ,CD is a bisector

thus  ∠ACO = ∠ADO )

AC =AD ( given )

by SAS congurence property

Δ COA ≅ ΔAOD

∠AOC = ∠AOD

( By corresponding angle of corresponding sides )

∠AOC + ∠AOD = 180°

2∠ AOC = 180°   ( Linear pair )

∠AOC = 90°

∠AOC = ∠AOD = 90 °

Thus AB  and  CD  are perpendicular.

Hence proved









   


 



6 0
3 years ago
HURRY ILL PICK BRAINLIEST!!!!!!!
telo118 [61]
<span>30x + 30y = 450 20x + 25y = 345

Here 345 represents the total area (in sq ft) shoveled; x repres. Melinda's rate and y represents Paul's rate.  We need to solve for x and y and then subtract the smaller from the larger.

</span>30x + 30y = 450   Multiply this eqn by 2:      6<span>0x + 60y = 900
</span>20x + 25y = 345   Mult this eqn by -3:          -60x -75y  = -1035
                                                                    ---------------------------
                                                                              -15y  = -135
                                                                                    y = 9

This comes to 9 square feet per minute.
Now, let's find x:    30x + 30y = 450; 30x + 270 = 450; 30x = 180; x = 6

Melinda can shovel 6 sq ft in 1 min, whereas Paul can shovel 9.

The difference is (9 - 6) sq ft / min,     or     3 sq ft / min   (answer)
4 0
3 years ago
Read 2 more answers
Please Help I Don't Understand How To Do This. ASAP! I need help with questions 23 and 25
Zigmanuir [339]
23. undefined
25. x=0
      y=3
Hope This Helps!
5 0
3 years ago
Simplify the expression below: 4 + 2³ - | -4 |
zavuch27 [327]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Three times a number plus twice another is 10, while their sum is 10, Find the numbers
    5·1 answer
  • Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaet
    5·1 answer
  • What is the probability of flipping a coin 4 times and it landing heads every time?
    10·1 answer
  • What is a prism ???????????????????????
    8·1 answer
  • Solve for x: −3|2x + 6| = −12
    10·2 answers
  • Jack gives half of his baseball card collection to Bobby. He then loses 5 of his remaining cards. He now has 13 baseball cards.
    8·1 answer
  • Find the value of x
    7·1 answer
  • Can somebody help me?
    12·1 answer
  • A circle has a diameter of 8 cm. An angle in the center of the circle creates an arc AB. That angle's measure is pi/4 rad. What
    9·1 answer
  • Pascal's Triangle
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!