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3 years ago

I'm so stuck on this

Mathematics

2 answers:

Marina CMI [18]3 years ago

7 0

Answer:150

Step-by-step explanation:

Let's name the angle beside A: angle1

the angle beside B: angle2

angle1= angle2 because the lines are parallel.

Therefore 180-angle1=180-angle2

which is the same as A=B

So 8x-10=3x+90

5x=100

x=20

B= 3x+90

=60+90

=150

raketka [301]3 years ago

6 0

Answer:

150°

Step-by-step explanation:

<h2><u>Find the angle </u></h2>

since the lines are parallel

and also because a Z angle is formed. this means :

that angle A = angle B

hence we can solve by putting:

8x - 10 = 3x + 90

make x the subject of formula

8x - 3x = 90 + 10

5x = 100

x = 100/5

<h3><u>therefore place the value of x into the equation to find B </u></h3>

B = 3x + 90

= 3* 20 + 90

= 60 + 90

= 150°

<h3><u>angle for B is 150°</u></h3>

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Complete the proof<br> Prove: UVY = UZW<br> A) AAS<br> B) ASA<br> C) SAS<br> D) SSS

puteri [66]

Answer:

B) ASA

Step-by-step explanation:

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles)

In this case, angle U, side UY and angle Y are congruent to angle U, side UW and angle W

7 0

3 years ago

Trevor and marissa together have 26 t-shirts to sell. If marissa has 6 fewer tshirts that trevor, find hiw many tshirts trevor h

Eva8 [605]

Answer:

Number of t-shirts Trevor have are 16

If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

Step-by-step explanation:

Let, the number of t-shirts Trevor has = x and number of t-shirts Marissa has = y.

Since, they both have total of 26 t-shirts. We get,

$x+y=26$

Moreover, Marissa has 6 t-shirts less than that of Trevor.

So, we have,

$y=x-6$

On solving the system of equations, we get,

$x+y=26$ implies $x+x-6=26$ implies $2x=26+6$ i.e. 2x= 32 i.e. x= 16.

So, $y=x-6$ implies $y=16-6$ i.e y= 10.

Hence, the number of t-shirts Trevor and Marissa have are 16 and 10 respectively.

That is, If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

8 0

3 years ago

What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????

tamaranim1 [39]

Answer:

Scale factor = $\frac{4}{9}$

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Step-by-step explanation:

Volume ratio = $\frac{\text{volume of small prism}}{\text{Volume of large prism}}$

= $\frac{128}{1458}$

= $\frac{64}{729}$

= 64 : 729

Scale factor = $\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}$

= $\sqrt[3]{\frac{64}{729}}$

= $\frac{4}{9}$

Perimeter ratio = Scale factor

= $\frac{4}{9}$

= 4 : 9

Surface area ratio = (Scale factor)²

= $(\frac{4}{9})^{2}$

= $\frac{16}{81}$

= 16 : 81

3 0

3 years ago

How is -5x + 2y = 9 is not constant of variation

nadya68 [22]

A constant of variation is only in the form ay=bx where b/a=constant so given any point y/x=constant let us check here by substituting x=1 and x=2
when x=1---> 2y=14,y=7 here y/x=7
when x=2--->2y=19,y=9.5 here y/x=4.75
so this equation is not constant of variation
let us check an equation of the form 3y=7x
when x=1--->y=7/3--->y/x=7/3
when x=2--->y=14/3---->y/x=7/3
so 3y=7x is a constant of variation

7 0

3 years ago

Read 2 more answers

He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write t

lana66690 [7]

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000,000,000

Population of the country = 53,980,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

$d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}$

Hence, the debt per person is 5535383.47 units.

6 0

3 years ago

I'm so stuck on this ​

I'm so stuck on this