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2 years ago

Test

Mathematics

1 answer:

patriot [66]2 years ago

5 0

Answer:

$DF = 4$

Step-by-step explanation:

See attachment for proper question

From the attachment, triangle DEF is an image of ABC

By comparing the position of the angles, the following sides are similar

AB to DE

AC to DF

BC to EF

By dividing the similar sides, we calculate the scale of dilation.

$Scale = \frac{DE}{AB}$

$Scale = \frac{8}{4}$

$Scale = 2$

To calculate DF, we make use of sides AC and DF as comparison:

$Scale = \frac{DF}{AC}$

Substitute 2 for Scale and 2 for AC

$2= \frac{DF}{2}$

Make DF the subject

$DF = 2 * 2$

$DF = 4$

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The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket

Lubov Fominskaja [6]

Answer:

181.8 yd

Step-by-step explanation:

The law of cosines is good for this. It tells you for triangle sides 'a' and 'b' and included angle C, the length of 'c' is given by ...

c^2 = a^2 +b^2 -2ab·cos(C)

For the given geometry, this is ...

c^2 = 400^2 +240^2 -2(400)(240)cos(16°) ≈ 33,037.75

c ≈ √33037.75 ≈ 181.8 . . . yards

Marsha's ball is about 181.8 yards from the hole.

7 0

3 years ago

Helppppppp pleaseeee!!!!!!!!!!!!!!!

Bingel [31]

Answer:

Knowing that 3²+4²=5, draw the 3cm side and 4cm side with right angle between them. The 5cm side will fit to form a right triangle.

Option D is correct option.

Step-by-step explanation:

We are given sides: 2cm, 3cm, 4cm and 5cm. We need to choose the correct option according to converse of the Pythagorean Theorem

The converse of the Pythagorean Theorem is:

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Now, if we sum the square of 2 smaller sides, it should be equal to square of longest side.

So, if add:

(3)^2+(4)^2=(5)^2

We get: 9+16=25

25=25

So, the sides of triangle are 3cm, 4cm and 5 cm.

Now, the longest side will be hypotenuse so, 5cm is hypotenuse, 3 cm and 4cm can be base and perpendicular.

And the angle will of 90 degrees will be between base and perpendicular.

So, the correct option is:

Knowing that 3²+4²=5, draw the 3cm side and 4cm side with right angle between them. The 5cm side will fit to form a right triangle.

Option D is correct option.

7 0

2 years ago

What is the value of x x=2.25 X= 11.25 x= 13 x= 22

Gemiola [76]

we know that

The sum of the internal angles of a triangle must be equal to $180$ degrees

see the attached figure with letters to better understand the problem

m∠B+ $(6x+1)=180$ °-----> by supplementary angles

m∠B= $179-6x$

m∠A= $2x+10$

m∠C= $79$

m∠A+m∠B+m∠C= $180$

Substitute

$(2x+10)+(179-6x)+79=180\\ -4x+268=180\\ 4x=268-180\\ 4x=88\\ x=22\ degrees$

therefore

the answer is

the value of x is equal to $22\ degrees$

5 0

3 years ago

I need help understanding a solution

ryzh [129]

Answer:

What they mean is if you substitute the value given for x into the equation given, is the math statement true.

Step-by-step explanation:

1) Is x = -3 a solution to 6x + 4 = -12?

6(-3) + 4 = -18 + 4 = - 14, so no, for number 1, x = -3 is not a solution to 6x + 4 = -12

Make sense?

LMK if you need me to run the rest of them with you.

8 0

3 years ago

Read 2 more answers

Type an equation for the following pattern: x: 1, 2, 3, 4, 5, y: 3, 4, 5, 6, 7 y=1x [?]

KATRIN_1 [288]

Y = x + 2. i hope this helped

8 0

3 years ago