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3 years ago

Find the measure or angle xyz

Mathematics

1 answer:

blagie [28]3 years ago

5 0

Answer:

The answer to your question is: 85°

Step-by-step explanation:

Data

m∠ xyz = 2m∠x - 9

m∠w = 38°

Process

∠x = (∠xyz + 9) / 2

∠ y = 180 - ∠xyz

∠w + ∠y + ∠x = 180

Substitution 38 + (180 - ∠xyz) + (∠xyz + 9) / 2 = 180

76 + 360 - 2∠xyz + ∠xyz + 9 = 360

Simplify

85 - 2∠xyz + ∠xyz = 0

85 = ∠ xyz

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How can you estimate 1506÷2 so that it is close to 753

SVETLANKA909090 [29]

Round 1506 to the nearest hundredth, then divide by 2

7 0

3 years ago

Use the Remainder Theorem to determine which of the roots are roots of F(x). Show your work.

Brums [2.3K]

Answer: x1=1 x2=-2 and x3=2

Step-by-step explanation:

1st x1=1 is 1 of the roots , so

F(1)=1-1-4+4=0 - true

So lets divide x^3-x^2-4x+4 by (x-x1), i.e (x^3-x^2-4x+4) /(x-1)=(x^2-4)

x^2-4 can be factorized as (x-2)*(x+2)

So x^3-x^2-4x+4=(x-1)*(x^2-4)=(x-1)(x-2)*(x+2)

So there are 3 dofferent roots:

x1=1 x2=-2 and x3=2

3 0

3 years ago

the present age of prisca and Ashmaal are in ratio 2:3 . After 4 yrs the ratio of their ages will be 4:5 the present age of pris

Solnce55 [7]

Answer:

he Present age of Prisca will be 4 years .

Step-by-step explanation:

Given as :

The ratio of present age of Prisca and Ashmaal = 2 : 3

Let The present age of Prisca = 2 x years

Let The present age of Ashmaal = 3 x years

After 4 years , the ratio of present age = 4 : 5

i.e $\frac{ 2 x + 4}{3 x + 4}$ = $\frac{4}{5}$

Or, 5 × (2 x + 4) = 4 × (3 x + 4)

Or, 10 x + 20 = 12 x + 16

Or, 12 x - 10 x = 20 - 16

Or, 2 x = 4

∴ x = $\frac{4}{2}$

i.e x = 2

So, The present age of Prisca = 2 x = 2 × 2 = 4 years

And The present age of Ashmaal = 3 x = 3 × 2 = 6 years

Hence, The Present age of Prisca will be 4 years . Answer

4 0

4 years ago

Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.

beks73 [17]

Answer:

16:40, 0.4

Step-by-step explanation:

experimental probability would be a ratio consisting of the number of times the coin lands on heads to the total number of times the coin is flipped so it would be 16 to 40 or simply 16:40

theoretical probability would be a way to show the likeliness of the coin landing on heads and can be found by dividing the number of flips that is expected to land heads up by the total number of flips so you divide 16 by 40 which equals 0.4

4 0

3 years ago

What’s the value of f(2)

8090 [49]

Answer:

Step-by-step explanation:

f(2) = 5(2) + 3

f(2) = 10 + 3

f(2) = 13

3 0

3 years ago