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2 years ago

If APTS ~ APQR, find the value of x

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

5 0

Answer:

x is the answer

Step-by-step explanation:

pts is also known as ptms which is a middle school, where tehy o things to find the value x

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Find AC What Is The Equation To AC?

In-s [12.5K]

Given:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

Length of AC:

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

Where the value of $\theta$ is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

$cos \ 65^{\circ}=\frac{AC}{AB}$

Substituting AB = 7, we have;

$cos \ 65^{\circ}=\frac{AC}{7}$

Multiplying both sides by 7, we get;

$cos \ 65^{\circ} \times 7=AC$

$0.423 \times 7=AC$

$2.961=AC$

Rounding off to the nearest hundredth, we get;

$2.96=AC$

Thus, the length of AC is 2.96 units.

6 0

3 years ago

Click on the graph below to create a quadrilateral with vertices at the following points. (-4,9), (-8,9), (-9,7), (-9, 4)

Shalnov [3]

Given (-4,9) (-8,9),(-9,7,(-9,4)

...

To Find : plot the point and draw quadrilateral

Solution:

(-4,9)

go 4 left of origin and then go 9 up

(-8,9)

go 8 left of origin and then go 8 up

(-9,7)

go 9 left of origin and then go 7 up

(-9,4)

go 9 left of origin and then go join (-4,9) with (-8,9) and (-9,4) 4 up

join (-9,7) with (-8,9) and (-9,4)

Quadrilateral is constructed

4 0

2 years ago

A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult populat

agasfer [191]

Answer:

The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p.

Step-by-step explanation:

for the first one

6 0

2 years ago

Read 2 more answers

Need help on HS geometry

monitta

Answer:

See below

Step-by-step explanation:

AB is a midsegment.

Property of the midsegment is midsegment is half the length of the parallel side of the triangle:

2AB = 88
AB = 44

And

3x - 4 = 44
3x = 48
x = 16

6 0

1 year ago

The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the

yarga [219]

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

Hope it helps :)

5 0

2 years ago

Read 2 more answers