3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.
What is mAnglePHJ?

100°
120°
140°
160°

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.

The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.

Each hour that the hour hand moves, there is an angle of 30°.

The first time that we will have an angle of 90° between the hands is at:

1:20

Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.

The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

Answer:

possibly (9, 9) (9, 5) (5, 9)

Answer:

-7

32

Step-by-step explanation:

a)9-16=-7

b)4-10=-6

2∆-6

36-4

32

Answer:

Step by step  explanation:

Answer:

21.98

Step-by-step explanation:

Formula for Circumference of a Circle:

C=2πr

1. We find r, which is basically the diameter divided by 2, aka half of the diameter:

d/2 = r

Fill in:

7/2 = r

r = 3.5

2. We fill in the Formula:

C = 2πr

C = 2(3.14)(3.5)

3. Multiply it all

3.14 x 3.5 = 10.99

10.99 x 2 = 21.98

Hence, the circumference of the circle is 21.98.

Answer:

80 degrees

Step-by-step explanation:

This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.

And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)

Answer:1.03125

Step-by-step explanation:

[tex]\dfrac{x^2+7x+12}{x^2-x-12}\\\\=\dfrac{x^2 +3x+4x +12}{x^2 -4x+3x-12}\\\\=\dfrac{x(x+3)+4(x+3)}{x(x-4)+3(x-4)}\\\\=\dfrac{(x+4)(x+3)}{(x-4)(x+3)}\\\\=\dfrac{x+4}{x-4}\\\\\text{Restrictions:}~ x\neq 4 ,~ x\neq -3[/tex]

Step-by-step explanation:

(−3/4b^2)(−6a^2b^5)

= 9 a²b³

Answer:

19000

Step-by-step explanation:

1 hour = 50 miles

2 hour = 100 miles

50×380 = 19000

Step-by-step explanation:

again ?

out of the total of 70°, 30° are taken by the first angle.

so, that leaves 70 - 30 = 40° for the second angle.

q = 40°

is there still something unclear about this ? please let me know.

Answer:

-2.3, 8.6 to the nearest tenth.

Step-by-step explanation:

-16t^2+100t+316=0

Simplify it first.

Divide  by -4:

4t^2 - 25t - 79 = 0

Using the quadratic formula:

x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8

= (25 +/- √(1889)) / 8

=   3.125 +/- 43.463/8

= 3.125 +/- 5.433

= -2.308, 8.558

Answer:

quadratic formula normally normally applies in such cases

It is a tool as it represents the language of patterns.

It is also a means of working with abstract notions and then applying them, which frequently leads to the formation of generalisations and insights outside of the original context.

Answer:

f(x)= (x-3)^2-3

Step-by-step explanation:

Vertex Form: y= a(x-h)^2+k

a is the reflection

h and k are the vertex so in an ordered pair (x,y) = (h,k)

Since it is translating 3 units down it is going to be a negative 3.  If it was translating up it would be positive 3.  This represents the "k" because it is moving on the y-axis.

Since it is translating 3 units to the right it is going to be positive 3.  If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.

After plugging it into the vertex form formula: f(x)= (x-3)^2-3

*notice when I plugged the "h" in it became negative because x-(3)= x-3*

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

It's given that,

Now, according to formula ~

[tex]\qquad \sf  \dashrightarrow \: v = \pi {r}^{2}x[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{22}{7} \times {5}^{2} \times 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{22}{7} \times 25 \times 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{6600}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \:v \approx 942.86 \: \: unit {}^{3} [/tex]

Answer:

One bucket of popcorn:  6$

One box of candy: $3.75

2 buckets of popcorn:  $12

3 boxes of candy:  $11.25

2 buckets of popcorn and 3 boxes of candy:  $23.25

Step-by-step explanation:

We can find the cost of one bucket of popcorn and one box of candy using a system of equations

[tex]4P + 6C=46.50\\P + C =9.75[/tex]

We can use the elimination method and thus multiply the second equation by -4:  

[tex]4P + 6C = 46.50\\-4(P+C=9.75)\\\\4P + 6C = 46.50\\-4P -4C=-39\\\\2C = 7.5\\\\C = 3.75[/tex]

We can plug C into the second equation to find P:

[tex]P + 3.75 = 9.75\\P = 6[/tex]

Thus, the cost of two buckets of popcorn is 6 * 2 = $12

And the cost of three boxes of candy is 3.75 * 3 = $11.25

And the cost of both two buckets of popcorn and three boxes of candy is (6*2) + (3*3.75) = 12 + 11.25 = $23.25

Answer:

Problem 3: 51°

Problem 5: 5 feet

Step-by-step explanation:

Image 1:

We are asked to find the missing angle. First off, we know that the full semi-circle equals 180 degrees. knowing this, subtract the second angle from 180 to get the smaller angle.

180 - 129 = 51

The unkown angle is 51 degrees.

Image 2:

We are asked to find the missing side. Apply the numbers of the known sides to the Pythagorean Theorem.

a² + b² = c²

a² + 12² = 13²

a² + 144 = 169

a² = 25

a = 5

The missing side is 5 feet.

Answer:

48.56

Step-by-step explanation:

We have to multiply 24.28x2 because there are 2 people so if we multiply it we will get the answer 48.56.

Step-by-step explanation:

only the circle

as cylinder is neither oval nor triangle not a rectangle..

so cylinder has circle as the cross section

Answer:

This is for a different question but hope this helps too!

Step-by-step explanation:

Answer:

It states they ran the same speed in the first race so that means only the distance they ran would be different. Thus that means Brady only ran 95 meters instead of 100 meters. If Brady was put 5 meters back that means it will be a tie if they ran at the same speed the entire race.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

It would be a tie. Brady is 5 meters faster then Quinn. So if Brady were to stay behind 5 meters and they ran the same speed as they did before, then it would be a tie.

Answer:

I believe he sells each bar for .75 cents

The value of x in the function r(x) = x - 3/x-4 is equal is 3.

To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.

Data;

A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.

Given that the function R(x) is

[tex]R(x) = \frac{x-3}{x-4}[/tex]

And also, R(x) is equal to 0.

[tex]R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3[/tex]

The value of x in the function is 3.

Learn more on functions here;

https://brainly.com/question/1214333

Answer:

One root ; x = 3

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

y = x² - 6x + 9

x² - 6x + 9 = x² - 2(x)(3) + 3² = ( x - 3 )²

( x - 3 )² = 0 ⇒ x - 3 = 0 ⇒ x = 3

Answer:

4.2 or 21/5

Step-by-step explanation:

i used demos

Answer:

4 1/5

[tex]\frac{14 * 9}{3 * 10} = \frac{126}{30}~which~is~also~4\frac{1}{5}[/tex]

[tex]\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}[/tex]

[tex]\longrightarrow[/tex]Here, no of observation are 5

Now,

[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{1+9+11+13+26}{5} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{60}{5} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Average = 12 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]The Average of given set of numbers is 12 .

[tex]\therefore\: [/tex] Option A) is correct ✔️