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3 years ago

Help me please ! 4,5 and 6

Mathematics

1 answer:

andreev551 [17]3 years ago

8 0

9514 1404 393

Answer:

4a. ∠V≅∠Y

4b. TU ≅ WX

5. No; no applicable postulate

6. see below

Step-by-step explanation:

a. When you use the ASA postulate, you are claiming you have shown two angles and the side between them to be congruent. Here, you're given side TV and angle T are congruent to their counterparts, sides WY and angle W. The angle at the other end of segment TV is angle V. Its counterpart is the other end of segment WY from angle W. In order to use ASA, we must show ...

∠V≅∠Y

b. When you use the SAS postulate, you are claiming you have shown two sides and the angle between them are congruent. The angle T is between sides TV and TU. The angle congruent to that, ∠W, is between sides WY and WX. Then the missing congruence that must be shown is ...

TU ≅ WX

The marked congruences are for two sides and a non-included angle. There is no SSA postulate for proving congruence. (In fact, there are two different possible triangles that have the given dimensions. This can be seen in the fact that the given angle is opposite the shortest of the given sides.)

"No, we cannot prove they are congruent because none of the five postulates or theorems can be used."

The first statement/reason is always the list of "given" statements.

1. ∠A≅∠D, AC≅DC . . . . given

2. . . . . vertical angles are congruent

3. . . . . ASA postulate

4. . . . . CPCTC

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Set up and solve a system of equations to solve the problem.

NeTakaya

Answer:

The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch

Step-by-step explanation:

Let

x ----> the number of bags of hardwood mulch sold

y ----> the number of bags of pine bark mulch sold

we know that

A local boys club sold 136 bags of mulch and made a total of $400

$x+y=136$ ----> equation A

$3.25x+2.75y=400$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (52,84)

see the attached figure

therefore

The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch

6 0

3 years ago

If we apply the Pythagorean Theorem to the Egyptian knots we can see that 3^2 + 4^2 = 5^23 2 +4 2 =5 2 . Which of the sets of th

pantera1 [17]

Answer:

B) { 51, 149, 140 }

C) { 16, 63, 65 }

Step-by-step explanation:

We need to choose Pythagoras theorem formula

$c^2=a^2+b^2$

now, we can verify each options

option-A:

a=1

b=1

c=1

now, we can verify formula

$1^2=1^2+1^2$

$1=2$

We can see that left side is not equal to right side

so, this is FALSE

option-B

a=51

b=140

c=149

now, we can verify formula

$149^2=51^2+140^2$

$22201=22201$

We can see that left side is equal to right side

so, this is TRUE

option-C

a=16

b=63

c=65

now, we can verify formula

$65^2=16^2+63^2$

$4225=4225$

We can see that left side is equal to right side

so, this is TRUE

option-D:

a=6

b=8

c=11

now, we can verify formula

$11^2=6^2+8^2$

$121=100$

We can see that left side is not equal to right side

so, this is FALSE

3 0

3 years ago

Read 2 more answers

9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc

irakobra [83]

<h3>Answer:</h3>

B) 22.32 feet

$\quad\rule{300pt}{1pt}$

<h3>Solution:</h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

$\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull$