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2 years ago

I need help asap!!

Mathematics

1 answer:

Elza [17]2 years ago

4 0

Similar triangles that have a scale ratio other than 1 are not congruent triangles.

The true statement about the proportions of the sides is $\frac{AC}{DF} = \frac 52$

The scale ratio is given as: 5 : 2

And the corresponding sides are given as:

AB and DE.
BC and EF.
CA and FD.

The above highlights mean that,

$\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52$

Hence, the true statement is $\frac{AC}{DF} = \frac 52$

Read more about similar triangles at:

brainly.com/question/14285697

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Help please (let the pic load)

Dmitriy789 [7]

For question 13 ( operations ) you must do the brackets first, so you do 5+1 first which equals __ and then you divide the answer by 6.

3 0

3 years ago

URGENT!!! WILL AWARD ALL POINTS Which expression is equivalent to sin(2β)sinβ for all values of β for which sin(2β)sinβ is defin

noname [10]

Answer:

sin2b sin b

2 sin b cos b sin b

2 cos b sin^2 b

1−cos2b cos b

1- (2cos^2 b−1) cosb

6 0

3 years ago

At the beginning of the day stock XYZ opened at 3.15. At the end of the day it closed at 2.87. What is the rate of change of sto

SVETLANKA909090 [29]

The correct answer is B) -8.9%

The rate of change for any problem is always determined using the following equation.

$\frac{NEW - OLD}{OLD} * 100$

In this case, the old value is 3.15 and the new value is 2.87. SO we use these in the equation to get the answer.

$\frac{NEW - OLD}{OLD} * 100$

$\frac{2.87 - 3.15}{3.15} * 100$

$\frac{-.28}{3.15} * 100$

-.088889 * 100

-8.9%

4 0

3 years ago

PLEASE HELP!!!<br> Which expressions simplify to a rational answer? Select each correct answer.

Bond [772]

ANSWER

The first three expressions will simplify to a rational answer.

EXPLANATION

Let us simplify the expressions then we can see which of them are rational.

$7\sqrt{3} \times \sqrt{3}$

We multiply out the roots to get

$7\sqrt{3} \times \sqrt{3}=7 \times (\sqrt{3})^2$

This simplifies to

$7\sqrt{3} \times \sqrt{3}=7 \times 3$

$7\sqrt{3} \times \sqrt{3}=21$

This is a rational number hence the answer is rational.

$\sqrt{5} \times \sqrt{5}=(\sqrt{5})^2$

$\sqrt{5} \times \sqrt{5}=5$

This is also a rational solution.

$2\sqrt{9} \times \sqrt{4}=2\times3\times2$

$2\sqrt{9} \times \sqrt{4}=12$

This one too is a rational solution.

$\sqrt{3} \times \sqrt{16}=\sqrt{3}\times4$

$\sqrt{3} \times \sqrt{16}=4\sqrt{3}$

This is an irrational answer because √3 is an irrational number and multiplying a rational number, 4 by an irrational number results in an irrational number.

6 0

2 years ago

Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, AABCD

jenyasd209 [6]

1. Consider right triangle ABK. The hypotenuse AB is 6 un. and the leg AK is 3 un. Since the leg is half of the hypotenuse, then the opposite to the leg angle is 30°. This means that m∠ABK=30°. Then m∠BAK=90°-30°=60°.

2. By the Pythagorean theorem,

$AB^2=AK^2+BK^2,\\\\6^2=3^2+BK^2,\\\\BK^2=36-9,\\\\BK^2=27,\\\\BK=3\sqrt{3}\ un.$

3. Consider right triangle ABD. In this triangle AD is hypotenuse and m∠ADB=90°-m∠BAD=90°-60°=30°. Then the leg AB opposite to the angle 30° is half of the hypotenuse and AD=12 un.

4. The area of parallelogram is

$A_{ABCD}=AD\cdot BK=12\cdot 3\sqrt{3}=36\sqrt{3}\ sq. un.$

5 0

2 years ago