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3 years ago

Find the value of z in the triangle shown below.

Mathematics

1 answer:

suter [353]3 years ago

5 0

Answer:

x = 69.4 degrees

Step-by-step explanation:

∠x = sin(a·sin(B)/b) = 1.21158 rad = 69.419°

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Your friends piano lesson lasts 15 minutes longer than your piano lesson. You have 6 lessons per month and your friend has 4 les

hichkok12 [17]

Answer:

45 minutes

Step-by-step explanation:

Given:

Your friends piano lesson lasts 15 minutes longer than your piano lesson.

You have 6 lessons per month and your friend has 4 lessons per month.

At the end of the month, your time spent at piano lessons is the same as your friends time.

Question asked:

How may minutes is your friends piano lesson ?

Solution:

Let your piano lesson in minutes = $x$

Then your friend's piano lesson will be = $x+15$

As you have 6 lessons per month, it contains total minutes:-

1 lesson = $x\ minutes$

6 lessons = $x\times6=6x\ minutes$

As your friend has 4 lessons, it contains total minutes:-

1 lesson = $x+15\ minutes$

4 lessons = $4(x+15)=4x+60\ minutes$

At the end of the month, time spent at piano is same:-

$6x=4x+60\\ \\ Subtracting\ both\ sides\ by\ 4x\\ \\ 6x-4x=4x-4x+60\\ \\ 2x=60\\ \\ Dividing\ both\ sides\ by\ 2\\ \\ \frac{2x}{2} =\frac{60}{2} \\ \\ x=30\ minutes$

Your piano lesson in minutes = $x$ = 30 minutes.

Your friend's piano lesson will be = $x+15$ = 30 + 15 = 45 minutes

Therefore, 45 minutes is your friends piano lesson.

8 0

3 years ago

PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers an

Goryan [66]

We are given to find

the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings

we know that

probability = ( number of favourable outcomes)/ ( total possible outcomes)

a 10th-grade student chosen at random has at least one, but no more than two, siblings

so, there can be one or two siblings

so, total number of such students =18+10=28

Number of favourable outcomes =28

total number of students =4+18+10+8=40

so, total favourable outcomes =40

now, we can find probability

$p=\frac{28}{40}$

$p=\frac{28}{40}\times 100$

$p=70$

So,

the experimental probability is 70%...........Answer

6 0

3 years ago

Read 2 more answers

I need help on this question please

Fynjy0 [20]

Answer: NEITHER

Step-by-step explanation:

From the equation of lines given above, to know if relationships exist between the two lines, we must first determine that from their gradients or slopes.

From first equation

2x - y = 5,

y = 2x - 5

Therefore, m₁ = 2

From the second equation

3x - y = 5

y = 3x - 5

Therefore m₂ = 3

Recall, For the two lines to be parallel, m₁ = m₂ , and for the two line to be perpendicular, m₁m₂ = -1

since none fulfilled the conditions stated above, the answer then is

NEITHER

5 0

3 years ago

B is the midpoint of ac. bc = 3x - 1. ac = x + 3. find the value of ab

Ilia_Sergeevich [38]

Answer:

ab=bc because b devide ac in two equal sizes

ac=ab+bc

ac=2×ab

ac =2×bc

lets substitute ac and bc there we are given

x+3=2(3x-1)

x+3=6x-2

-5x/-5=-5/-5

x=1

ab=3(1)-1

ab=2

8 0

2 years ago

Determine if the triangles, ΔUVW and ΔBAC, are similar. If so, identify the similarity criterion.

alexandr402 [8]

Answer:

B). SAS similarity.

Step-by-step explanation:

In Δ WVU & ΔCAB,

UV/CA = 17/34 = 1/2

VW/AB = 14/28 = 1/2

∵ UV/CA = VW/AB = 1/2

& ∠V = ∠A (Given)

∵ ΔWVU ≅ ΔCAB (by SAS similarity)

7 0

2 years ago