if m∠ABD=39 and m∠DBC=22 what is m∠ABC
PLEASE HELP!!!!

Answer:

Solution,

[tex]tan \: theta = \frac{opposite}{adjacent} [/tex]

[tex]tan \: 60 = \frac{h}{50} \\ 5 \: tan \: 60 = h \\ h = 50 \: tan \: 60 \\ h = 87 \: feet[/tex]

hope this helps..

Good luck on your assignment..

Answer:

x = -1/4

Step-by-step explanation:

Step 1: Write out 1st equation

6x + 7

Step 2: Write out 2nd equation

2x + 6

Step 3: Set equal to each other

6x + 7 = 2x + 6

Step 4: Solve

4x + 7 = 6

4x = -1

x = -1/4

Answer:

Look below

Step-by-step explanation:

8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out

8x= 8 boxes

At least 25= no less than 25 students

-15= the 15 that threw them out

x=boxes

the people= All real numbers

HOPE THIS HELPS!!!

Answer:

1 2 3 4

Step-by-step explanation:

Answer:

Please see attached

Step-by-step explanation:

Answer:

m∠DEF is 90°

Step-by-step explanation:

It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have

⇒

⇒

and

⇒

⇒

Also,  

⇒

⇒

Now,

⇒

⇒

Thus, Pythagoras theorem holds.

Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.

DE^2 = 1 + 16 = 17.

EF^2 = 16 + 1 = 17.

DF^2 = 9 + 25 = 34.

Since (DE)^2 + (EF)^2 = (DF)^2,

angle E is 90 degrees.

DF must be the hypotenuse

Here look at that

Step-by-step explanation:

Area 1 = the rectangle

8×3=24cm²

Area 2= semi circle

3.14r² 314/100×4×4 = 50.24cm²

add. 24+50.24 = 74.24cm² ( 10th)

Answer:

Option 3.

Step-by-step explanation:

The given inequalities are

[tex]x-2y<4[/tex]

[tex]y>-2x-5[/tex]

If (a,b) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (a,b).

For point (1,-4),

[tex](1)-2(-4)<4\Rightarrow 9<4[/tex] False

[tex]-4>-2(1)-5\Rightarrow -4>-7[/tex] True

Since, first inequality is false for (1,-4) point, therefore (1,-4) is not the solution.

For point (-8,2),

[tex](-8)-2(2)<4\Rightarrow -12<4[/tex] True

[tex]2>-2(-8)-5\Rightarrow 2>11[/tex] False

Since, second inequality is false for (-8,2) point, therefore (-8,2) is not the solution.

For point (0,0),

[tex](0)-2(0)<4\Rightarrow 0<4[/tex] True

[tex]0>-2(0)-5\Rightarrow 0>-5[/tex] True

Since, both of inequalities are true, therefore (0,0) is a the solution.

For point (-3,0),

[tex](-3)-2(0)<4\Rightarrow -3<4[/tex] True

[tex]0>-2(-3)-5\Rightarrow 0>-11[/tex] False

Since, second inequality is false for (-3,0) point, therefore (-3,0) is not the solution.

Hence, option 3 is correct.

Answer:

MARK me brainliest please

Step-by-step explanation:

yes

yes

no

no

yes

Answer:

Neither perpendicular nor parallel.

Step-by-step explanation:

To find the answer, you just need to find the slopes of each line.

The slope of the line with points at (-6, 5) and (-2, 7) would be (7 - 5) / (-2 + 6) = 2 / 4 = 1/2.

The slope of the line with points at (4, 2) and (6, 6) would be (6 - 2) / (6 - 4) = 4 / 2 = 2.

They are most definitely not the same line.

They are not perpendicular, either, since although they are [eek I forgot the term for it] opposites, they are both positive. To be perpendicular, one slope must be negative and the other positive.

They are not parallel, since the slopes are not the same.

So, the relationship between the lines are that they are neither parallel nor perpendicular.

Hope this helps!

Answer:

A.

Step-by-step explanation:

The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.

367.5 - 181 = 186.5

356 - 170.5 = 185.5

Answer:

A

Step-by-step explanation:

Hey there!

Answer:

2nd choice, The graph of g(x) is the graph of f(x) reflected in the x-axis, expanded vertically by a factor of 5, and translated 8 unit(s) down.

Step-by-step explanation:

Recall that the transformation form of a logarithmic function is:

y = ±alog(b(x-h))+k

Given g(x) = -5logx-8:

Negative in front of equation: reflection over the x-axis

'a' value of 5: expanded vertically by a factor of 5

'k' value of -8: translated 8 unit(s) down.

Answer:

Thus, area of triangle is [tex]225/\sqrt{3}[/tex]

Step-by-step explanation:

Area if triangle is given by 1/2( base*height)

Given

Height = 15 units

also one angle is given as 30 degrees

we know Tan of any angle is  ratio of perpendicular and base

[tex]tan\alpha = perpendicular /base[/tex]

lets calculate tan 30 in the given triangle

we will take the smaller triangle containing angle 30 degrees and right angle

perpendicular will be half of base of triangle

base will be side with length 15 units

tan30 = perpendicular/15

[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]

Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]

so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Full full triangle

height = 15 units

base =  [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]

Answer:

The total weight is 80g, this is equal to the weight of the salt in the mixture plus the weight of the water in the mixture.

Ws = Weight of the salt

Ww = Weight of the water.

Then:

Ww + Ws = 80g

and the solution is 35% salt, so we have:

Ws/80g = 0.35

We must solve the system of equations, we can write the second equation as:

Ws = 80g*0.35 = 28g

Then we have 28 grams of salt, and the other 62g must be of water.

Step-by-step explanation:

Let x represent the weight of the salt

Let y represent the weight of the water

We know x + y = 80g total

If the salt solution is 35%, we can write the following equation:

x/80g = 0.35

x = 80g x 0.35 = 28

28 grams

Answer:

B

Step-by-step explanation:

2x+2>10

2x>10-2

x>8/2

x>4

Answer:

Answer is below.

Step-by-step explanation:

Macy forgot that a discount of 25% means the cost is multiplied by 75%.

Take the original price of the shirt, $20, times 75% for each month and times 50% for the employee discount.

20 x 0.75 x 0.75 x 0.50 = $5.63 is the price of the shirt for the employees using all of the discounts.

Answer:

Triangle 1: 90°, 20°

Triangle 2: 20°, 90°

Step-by-step explanation:

According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.

Answer:

3) 8:10

Step-by-step explanation:

You can simply multiply the entire ratio by 2 to get your answer:

2(4:5)

2(4):2(5)

8:10

Answer:    

if she countinues to walk at that rate it will take her 24 minutes to walk the 32 blocks

Step-by-step explanation:

i took the 12 blocks every 9 minutes and counted for a total of 36 blocks which would take 27 minutes then since we want to know how long it would take for her to walk 32 blocks I found how long it would take her to walk 4 blocks which is 3 minutes (12/3 = 4 9/3 =3) and i subtracted those 3 minutes from the 36 block walk giving you 24 minutes for 32 blocks

hope this helps

Answer:b-4/4

Step-by-step explanation:

Answer:

(0,2)

Step-by-step explanation:

i used a graphing calculator hopefully its right

Answer:

(-7,-14)

Step-by-step explanation:

you x is decreasing by -7 so your x is -7 and your y  is decreasing by -14.

Answer:

Well, 80 x 62.5% is 50.

So, 65 + 50 is 115.

I think there is a mistake in the question

Well, It could not, but please check again TT

Step-by-step explanation:

Answer:

The old tower has 65 steps.

(I think,)

Answer:

150 steps

Step-by-step explanation:

For every 6 steps going up it takes a extra 1 second to go down. Since it took Mary 25 seconds longer to get down you multiply 6 by 25 and you'll get 150 steps.

Answer:

125

Step-by-step explanation:

Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.

The base of the pyramid is a square of side-length 5, and its area is 5×5=25

The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.

The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125

Answer:

The third option

Step-by-step explanation:

first, you can eliminate the 2nd and the 4th option because the vertex of the graph is located at -3, and not 3. The reason it is not the 1st option is, because  of the greater than or equal to sign, this inequality actually shows the white area.

Therefore, leaving the 3rd option. The y-intercept is correct, it is -3. The sign is also correct, because on the axis of the quadratic, -3 is the highest possible y-intercept. So y has to be less than or equal to -3.

Hope this helps! :D

270 degree counterclockwise rotation around the origin

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

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.

Answer:

c

Step-by-step explanation:

Answer:

C. [tex]9^{-2} = \frac{1}{81}[/tex]

Step-by-step explanation:

Given

[tex]9^{x}[/tex]

Required

Find the expression where x - 2

[tex]9^{x}[/tex]

Substitute 2 for x

[tex]9^{-2}[/tex]

From law of indices which states

[tex]a^{-b} = \frac{1}{a^b}[/tex]

So, the expression becomes

[tex]9^{-2} = \frac{1}{9^2}[/tex]

Expand the denominator

[tex]9^{-2} = \frac{1}{9 * 9}[/tex]

[tex]9^{-2} = \frac{1}{81}[/tex]

Hence, [tex]9^{x}[/tex] is [tex]\frac{1}{81}[/tex] when x = 2

Answer: KINDLY CHECK EXPLANATION

Step-by-step explanation:

Given the data:

1) dataset:

My data(x) : 2, 4, 6, 8, 10

2) to calculate the mean absolute deviation of the data above :

Step 1: Find the mean (m) of the dataset (my data)

Mean(m) = sum of values in my data / number of observations in my data (n)

m = (2+4+6+8+10) / 5

m = 30 / 5 = 6

The mean absolute deviation(MAD) :

Sum of The absolute value of the difference between values in my data and the mean value (m) Divided by the number of observations.

MAD = (Sum of |x - m|) / n

MAD = (|2-6| + |4-6| + |6-6| + |8-6| + |10-6|) / 5

MAD = (4 + 2 + 0 + 2 + 4) / 5

MAD = 12 / 5

MAD = 2.4

Answer:

The third answer- a reflection over the x axis then a reflection over the y axis

Answer:the answer is C

Step-by-step explanation:I took the test

Answer:

[tex]mGH=80^\circ[/tex]

Step-by-step explanation:

Circle F and J are congruent.

[tex]\angle DFE \cong \angle GJH[/tex]

Given that: m∠DFE = 80°

DFE is the central angle of the circle F.

The measure of arc GH is equal to the central angle of Circle J.

Since both circles are congruent

[tex]mGH=\angle DFE = 80^\circ[/tex]

The measure of arc GH is 80 degrees.

Answer:

Arc GH=80°

Step-by-step explanation:

Edge 2020