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2 years ago

Which conditional statement is represented by the Venn diagram below?

Mathematics

1 answer:

yarga [219]2 years ago

3 0

Answer:

D. If a shape is an equilateral triangle, then it is an isosceles triangle.

Step-by-step explanation:

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Here's the question.

OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using Formula :

General term of an A.P.

$\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}$

>> Tₙ = nᵗʰ term
>> a = first term
>> n = no. of terms
>> d = common difference

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}$

${\dashrightarrow{\sf{ T_{20} = a + (19)d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19d}}}$

${\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}$

Hence, the value of T₂₀ is a + 19d.

$\rule{190}1$

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + (14) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14d}}}$

${\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}$

Hence, the value of T₁₅ is a + 14d

$\rule{190}1$

Now, finding the difference between T₂₀ - T₁₅ :

${\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}$

${\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}$

${\dashrightarrow{\sf{a + 19d - a - 14d}}}$

${\dashrightarrow{\sf{a - a + 19d - 14d}}}$

${\dashrightarrow{\sf{0+ 19d - 14d}}}$

${\dashrightarrow{\sf{19d - 14d}}}$

${\dashrightarrow{\sf{5 \times - 4}}}$

${\dashrightarrow{\sf{ - 20}}}$

${\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}$

Hence, the value of T₂₀ - T₁₅ is -20.

$\underline{\rule{220pt}{3.5pt}}$

3 0

2 years ago

Janey drove 355 km, and the trip took 5 hrs. at what average was janey traveling? use d=rt

stiks02 [169]

71 is the correct answer.

355 divided by 5 = 71

4 0

3 years ago

Read 2 more answers

Please answer asap! Will mark brainliest.

choli [55]

It is too blurry i will try too help if I tell me what too do

5 0

3 years ago

Read 2 more answers

Solve d = rt for r when d = 268mi and t=4hr

vichka [17]

Answer:

55 mph

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

How do i factor -7x^2+5x+12

yKpoI14uk [10]

Answer:

-(x + 1)(7x - 12)

Step-by-step explanation:

Step 1: Factor out a -1

-1(7x² - 5x - 12)

Step 2:

Think. Answer this question: "What 2 numbers multiply up to -12 and adds up to -5 while 7 is an x coefficient?". You answer should be -12 and 1.

So, factor.

-1(x + 1)(7x - 12)

To double check, just expand/FOIL everything and see if it is the same as the original expression.

6 0

3 years ago