please help me with this problem !

Use the Chinese remainder theorem.

Start with x = 3×5 + 2×7 = 15 + 14 = 29. Now,

• 29 ≡ 15 ≡ 1 (mod7)

• 29 ≡ 14 ≡ 4 (mod5)

Adjust for this by multiplying the first term in x by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).

So now x = 3×5×3 + 2×7×3 = 45 + 42 = 87, and

• 87 ≡ 45 ≡ 3 (mod7)

• 87 ≡ 42 ≡ 2 (mod5)

The CRT then says that x ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number x = 87 + 35n satisfies both congruences (where n is any integer).

So there are 3 possible 2-digit numbers that work: {17, 52, 87}.

To confirm:

• 17 ≡ 15 + 2 ≡ 2 (mod5) and 17 ≡ 14 + 3 ≡ 3 (mod7)

• 52 ≡ 50 + 2 ≡ 2 (mod5) and 52 ≡ 49 + 3 ≡ 3 (mod7)

• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)

Answer:

64000

Step-by-step explanation:

The absolute value is the non-negative number

|64000| = 64000

Answer:

11. angles on a straight line add up to 180

so 180 -133 equal to b.b=47

12.Vertical opposite angles are equal.

therefore b=50

Answer:

x = 200

Step-by-step explanation:

Plug in 15 as y into the equation and solve for x:

1/5x - 2/3y = 30

1/5x - 2/3(15) = 30

1/5x - 10 = 30

1/5x = 40

x = 200

So, when y = 15, x = 200

Answer:

Step-by-step explanation:

Let's do this out as best as we can here. Here's the problem:

2 |  3   1   2   -7

___________

The rule is to bring down the first term, whatever it is (ours is a 3), and multiply it by the number "outside" which is a 2. Put that product up under the number next to the 3:

2 |  3   1   2   -7

          6          

    3

Then add straight down, and multiply that sum by the 2 outside and put that product under the next number (the 2 "inside" the box):

2 |  3   1   2   =7

          6  14      

     3   7

And do the same thing. Add straight down, multiply the sum by 2 and put the product up under the next number, -7, and add again. The final is shown below:

2 |  3     1     2     -7

            6   14     32

    3      7    16    25

The last number in the very bottom row, the depressed polynomial row, is the remainder. Ours is a 25. This is the super easy way to divide polynomials, as long as our divisor is a linear (first degree) term.

Answer:

[tex]{ \bf{ \green{line \: B}}}[/tex]

It's a direct proportionality

.................................

Answer:

$(8+14)

Step-by-step explanation:

Amount of money Warren has at first=$8+$14=$22

Answer:

5 corners : 108 degrees

6 corners : 120 degrees

Step-by-step explanation:

there are (at least) 2 different views to get the result :

officially (usually the teachers' preferred method) you consider a polygon as a combination of non-overlapping triangles. a polygon with n corners or edges we can split into n-2 such triangles.

each triangle has an angle sum of 180 degree.

so, the polygon angle sum is (n-2)×180 degrees.

and each (internal) angle is then (n-2)×180/n

n = 5 : (5-2)×180/5 = 3×36 = 108 degrees

n = 6 : (6-2)×180/6 = 4×30 = 120 degrees

the second approach (I prefer) goes after the external angles of the polygon.

the sum of all external angles in any polygon is 360 degrees (a full circle).

for n corners/edges each external angle is 360/n.

and the internal angle is then the complement to 180 degrees = 180 - 360/n

n = 5 : 180 - 360/5 = 180 - 72 = 108 degrees

n = 6 : 180 - 360/6 = 180 - 60 = 120 degrees

Answer:

4

Step-by-step explanation:

Let's simplify step-by-step.

−2z2+4z+2z2

Combine Like Terms:

=−2z2+4z+2z2

=(−2z2+2z2)+(4z)

=4z

Answer:

4z

Hope this helps <3 Need thanks?

Comment /hearthelp

[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]

[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]

[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]

[tex]\\ \sf\longmapsto 0z^2+4z[/tex]

[tex]\\ \sf\longmapsto 4z[/tex]

Answer:

P=2(74)+2(5)

148+10=158

Answer:

x = 6

Step-by-step explanation:

s = 6

t = 4

x = 4 + s - t

Substituting s and t in equation,

x = 4 + 6 - 4

x = 6

Answer:

6

Step-by-step explanation:

s=6

t=4

x= 4+6-4

x=10-4

x=6

Therefore; the final result is 6

Answer:

X is greater than 5.

Step-by-step explanation:

You choose the correct answer because X > 5.

Meaning that x would be any number over 5.

9514 1404 393

Answer:

  33 11/16 m² = 33.6875 m²

Step-by-step explanation:

The volume of a prism is given by ...

  V = Bh

where B is the area of the base, and h is the height. Solving for B, we find ...

  B = V/h

  B = (539 m³)/(16 m) = 33 11/16 m² = 33.6875 m²

Answer:

the third one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(Slant height)^2= (Radius)^2+(Height)^2

(20)^2= (12)^2+(Height)^2

Height=16

Answer:

B. pls mark me at brainliest and like my answer.

Step-by-step explanation:

⩥ɓeŋʝ⩤

Answer:

an obtuse angle is an angle that is more than 90 degrees

Step-by-step explanation:

Answer:

hope this help you

have a great day

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

Explanation:

The inscribed angle 20 degrees doubles to 2*20 = 40 which is the measure of the central angle, and the arc in which the inscribed angle subtends (or cuts off). This is due to the aptly named inscribed angle theorem.

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

A slightly longer alternative path would be to do this:

The triangle with interior angles 20 and c is isosceles. Note how the missing angle up top is one of the congruent base angles, so the missing angle is 20 degrees. That means angle c is...

20+20+c = 180

40+c = 180

c = 180-40

c = 140

Then angle b is supplementary to this

b+c = 180

b+140 = 180

b = 180-140

b = 40

This path leads to the same answer. It's slightly longer, but it's a path you can take if you aren't familiar with the inscribed angle theorem.

In fact, this line of thinking is effectively how the inscribed angle theorem is proved as shown in the diagram below.

Answer:

11/18

Step-by-step explanation:

KL + MN = 11

Total = 18

Probability of KL or MN = 11/18

Answer:

48.32

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

x+140=180°(angle on a straight line)

x=180-140

x=40°

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

[tex] \rm \large\longrightarrow \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 140 \degree \: [/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 40 \degree[/tex]

Answer:

Points Q, J and M are not collinear

Step-by-step explanation:

Three points cannot be collinear if they are not coplanar (on the same plane), and M is on a different plane than Q. J is located on both planes.

Step-by-step explanation:

x⁵+x-1

(2x-x+1) ( x³+x²-1 )

Answer:

B) 4 miles

Step-by-step explanation:

the big triangle CAB and small triangle CED are simular (given)

this means the ratio between their corresponding sides will be the same.

find corresponding sides with alternate interior angle theorem

m CDE= m CBA

vertical angles theorem

m ACB = m DCE

therefore, AC corresponds to CE

find ratio of sides

7 miles = 36960 feet

36960/ corresponding side 21 ft

36960/ 21= 1780 ft

multiply by 1780 to get from small side to big side

small side CE = 12 ft

12*1780

=21120 ft =AC (in ft)

convert to miles (ft to miles is ft/5280)

21120/5280

=4 miles

hope this helps

Answer:

b) 27

Step-by-step explanation:

sum of angles in triangle = 180

a + 63 + 90 = 180

a = 27

Answer:

27 degrees

Step-by-step explanation:

since angle B is 68 and you know that angle c is a right angle it is 90. so yhu take 90 and 63 and add them together and subtract that number from 180 and you find angle A

Answer:

x-4

Step-by-step explanation:

If x>4, |x-4|>0 which means |x-4|=x-4

Answer:

11/43

Step-by-step explanation:

A local community college has 860 students

Out of this 860 students, 220students ride bikes

Therefore the fraction of bike riders to the number of students can be calculated as follows

= 220/860

= 11/43

Answer:

are you sure there is no further info

Step-by-step explanation: