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3 years ago

Use the figure to answer questions 4-5. Assume that lines JL and MP are parallel.

Mathematics

2 answers:

AysviL [449]3 years ago

8 0

Answer: 4) Last option is correct.

5) First Option is correct.

Step-by-step explanation:

4) Since we know that

Sum of interior angles on the same side is supplementary.

As we have given that

lines JL and MP are parallel.

Same side interior angles will be

∠3 and ∠5 ; ∠4 and ∠6

Therefore, Last option is correct.

5) if m ∠4 = 105°,

Since two lines are parallel, so, the corresponding angles are equal.

and corresponding pairs are as follows:

m∠4=m∠8

m∠2=m∠6

Since m ∠4 = 105°

⇒ m∠8 = 105°

Hence, First Option is correct.

SIZIF [17.4K]3 years ago

3 0

4.

The same-side interior angles would be 2 and 6. They're in the same exact position.

5. If angle 4 is 105 degrees, angle 8 must also be 105 degrees because they are same-side interior angles.

You might be interested in

Find the midpoint of the line segment joining the points (-2,-2) and (-4,9).

11Alexandr11 [23.1K]

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,-2) and (-4,9).

The midpoint is

$M = ( \frac{ - 2 - 4}{2} \: , \: \frac{ - 2 + 9}{2} ) \\ = ( - \frac{6}{2} \: , \: \frac{7}{2} )$

We have the final answer as

$( - 3 \: , \: \frac{7}{2} )$

Hope this helps you

4 0

3 years ago

I NEED HELP PLEASE, THANKS! :)

ICE Princess25 [194]

Answer: G ∩ M = {Anael, Max}

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

Step-by-step explanation:

intersection ∩ - items found in BOTH sets

union U - the joining of the sets. include EVERYTHING in the sets.

G = (Acel, Acton, Anael, Carl, Dario, Max}

S = {Anael, Barek, Bay, Carlin, Kai, Max}

G ∩ S: Anael and Max are found in both sets

G = (Acel, Acton, Anael, Carl, Dario, Max}

S = {Acton, Anael, Barek, Carlin, Dario, Kai}

G U S: include everything in G and everything in S. If found in both sets, only list it once.

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

Notice that Acton and Anael are in both sets but we only list them once.

8 0

3 years ago

How could you correctly rewrite the equation 4(10+5) = 6(12 - 2) using the distributive property?

vampirchik [111]

Answer:

40+20=72-12

60=60

Step-by-step explanation:

4*10+4*5=6*12-6*2

40+20=72-12

60+60

7 0

3 years ago

HELP Use either law of sines or law of cosine. Need help on this problem! show work please!

Marina86 [1]

Answer: x = 15.035677095729 approximately

Round this however you need to.

=================================================

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

----------------

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

----------------

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

4 0

3 years ago

Read 2 more answers

Two sizes of cans of beans are similar. The thickness of the walls and bases are the same in both cans. The ratio of their surfa

agasfer [191]

Answer:

It costs $0.216 to make smaller can and $0.324 to make larger can

Step-by-step explanation:

Given:

The ratio of the surface areas = 4:9

Area of smaller cans = 36 sq in

Cost = $0.006 per square inch

To Find:

how much does it cost to make each can = ?

Solution:

Lets the area of the larger can be x

the ratio is 4 : 9

then 4x = 9.(36)

4x = 216

$x = \frac{216}{4}$

x = 54

The area of the larger can is 54 sq in

Now the cost of making the smaller can = $36 \times 0.006$ = $0.216

The cost of making the Larger can = $54 \times 0.006$ =$0.324

4 0

3 years ago