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Usimov [2.4K]
3 years ago
10

ANSWER THE QUESTION WITH EXPLAINATION

Mathematics
2 answers:
DIA [1.3K]3 years ago
7 0

Step-by-step explanation:

SSS

PB = QC (Given) (S)

BC (common side) (S)

QB = PC (Since ABC is isosceles triangle and PB = QC) (S)

Topic: congruence and similarity

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Stolb23 [73]3 years ago
4 0

Answer:

  • SAS criteria

Step-by-step explanation:

Given is isosceles triangle as AB = AC, it means angles B and C measure same

Triangles PBC and QCB have common side BC, equal sides PB = QC as PB = AB - AP and QC = AC - AQ

<u>So two sides and the angle between are congruent:</u>

  • BC ≅ BC, PB ≅ QC, ∠PBC ≅ ∠QCB
  • So ΔPBC≅ΔQCB as per SAS criteria
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A barn has 11 heads and 36 legs. How many are chicks and how many are pigs
Helen [10]

answer is 7 pigs and 4 chicks

pigs' legs =     7 x 4 = 28

chicks' legs =  4 x 2 = 8

28 + 8 = 36 legs

7 0
3 years ago
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15 cm<br> 4 cm<br> cm<br> V=____cm3
bonufazy [111]

Answer:

V=(πr^2 x h)/3

lets use π as 3.14 cause I dont know what pi u using

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8 0
3 years ago
HELP ASAP
almond37 [142]

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

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or 10x+25y=225

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2x+5y=45

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6 0
4 years ago
Could you please help for this?<br> Please.
Serggg [28]

Answer:

CD = 6.385 units

Step-by-step explanation:

Given triangle ABC with right angle at C.

And AB = AD + 6 .

Now, consider the triangle ABC.

⇒ cos(∠BAC) = \frac{AC}{AB}  (cosФ = adj/hyp)

cos(20) = \frac{AC}{AB} .

0.9397 = \frac{AD+CD}{AD + 6}

(since AB = AD + 6 and AC = AD + CD)

⇒ 0.9397 AD + 5.6382 = AD + CD

⇒ CD = 0.0603 AD + 5.6382. →→→→→ (1)

⇒ sin(∠BAC) =  \frac{BC}{AB} (sinФ = opp/hyp)

sin(20) =  \frac{BC}{AB}.

⇒ BC = AB sin(20)  . →→→→→(2)

Now, consider the triangle BCD,

sin(∠BDC) =  \frac{BC}{CD}

⇒ sin(80) =  \frac{BC}{CD}

CD =  \frac{BC}{sin(80)}

From (2), CD = \frac{AB sin(20)}{sin(80)} .

⇒ CD = AB (0.3473)

⇒ CD = (AD + 6) (0.3473)

⇒ CD = 0.3473 AD + 2.0838 →→→→→→(3)

Now, (1) →→ CD = 0.0603 AD + 5.6382

         (3) →→ CD = 0.3473 AD + 2.0838

⇒ 0.0603 AD + 5.6382 = 0.3473 AD + 2.0838

0.287 AD = 3.5544.

⇒ AD = 12.3847

⇒ From (1), CD = 0.0603(12.3847) + 5.6382

⇒ CD = 6.385 units

7 0
4 years ago
Based on data, here is a regression line comparing the variables y = mass of a bar of soap in grams and x = number of days soap
Irina18 [472]

Answer:

D .For every day the soap is used, the predicted mass of the soap will decrease by 1.8 grams.

Step-by-step explanation:

The given regression equation is

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Here, slope=b=-1.8.

Slope depicts the unit increase in predicted variable due to change in independent variable.

The given slope -1.8 shows that due to change in number of days soap is used the predicted mass of the soap decreases by 1.8 units. So, we can say that "For every day the soap is used, the predicted mass of the soap will decrease by 1.8 grams".

4 0
3 years ago
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