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2 years ago

What are the value of x, y, and z, respectively?

Mathematics

2 answers:

EleoNora [17]2 years ago

8 0

Answer:

y = 107 x = 73 and z = 73 degrees

Step-by-step explanation:

All of the angles have to equal 360 when added together and y has to correspond to 107 then those add to 214 then you subtract that from 360 to get 146 then you split that in half to get the x and z

VLD [36.1K]2 years ago

4 0

Answer:

x = 73, y = 107, z = 73

Step-by-step explanation:

y has a vertical angle so y = 107°

z° and x° are also vertical angles so z° = x°

To find z and x find the angle adjacent to 107°

180° - 107° = 73°

x = 73, z = 73

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a trapezoid with base measure of 23 km and 29km an area of 390km . find the height of the trapezoid.

cupoosta [38]

Hello!

To find the area of a trapezoid you use the equation

$A = \frac{a+b}{2} h$

Put in the values you know

$390 = \frac{23+29}{2} h$

Add

$390 = \frac{52}{2} h$

Divide

$390 = 26 * h$

Divide both sides by 26

15 = h

The answer is 15km

Hope this helps!

3 0

3 years ago

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50 points take it or leave it<br> 3x+4=22

Lerok [7]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>let's solve:</h3>

$\sf cancel \: 4 \: from \: both \: sides : \\ \sf \implies \: 3x + 4 - 4 = 22 - 4 \\ \implies \sf \: 3x = 18$
$\sf divide \: both \: sides \: by \: 3 : \\ \sf \bcancel \frac{3x}{3} = \frac{ \cancel{18} \: \: ^{6} }{ \cancel{ \: 3}} \\ \therefore \rm \: x = 6$

3 0

2 years ago

Read 2 more answers

Amy wants to carpet a room that is 12 feet by 8 feet.How many square yards of carpet will she need to complete the room?

Ede4ka [16]

96 square yards would complete the room

7 0

3 years ago

If x+y=10 and x-y =6 what is the answer of x cube - y cube fast

AfilCa [17]

Answer:

x+y=10 which means that x=10-y

Replace 10-y in the other equation which gives you:

10-y-y=6

10-2y=6

-2y=-4

y=2

Replace 2 in any of the 2 equations same answer for both:

x+y=10

x+2=10

x=8

So,

${x}^{3} - y^{3}$

$= {8}^{3} - {2}^{3}$

=512-8

=504

Hope this helps!

4 0

2 years ago

9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tent

Veseljchak [2.6K]

Answer:

63.5

Step-by-step explanation:

The diagonals of a rhombus bisect opposite angles.

The longer diagonal bisects the 42° angle

The larger angle of the rhombus is 180 - 42 = 138

Let x = the length of the longer diagonal

You know two sides and the included angle of a triangle.

Using the law of cosines we get

$x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.150837...\\x = \sqrt{4030.150837} = 63.48$ $x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.1508...\\ x = \sqrt{4030.1508} \\ = 63.48$ x^2 = 34^2 + 34^2 - 2(34)(34) cos 138

= 1156 + 1156 - 2312 c0s 138

= 4030.1508...

x = sq rt 4030.1508...

= 63.5

7 0

2 years ago