In Exercises 37– 40, BD ⃗ bisects ∠ABC. Find m∠ABD,

m∠CBD, and m∠ABC.

Answer:

.

Step-by-step explanation:

[tex] \frac{a}{b} = \frac{4}{3} [/tex]

[tex] \frac{b}{c} = \frac{2}{3} [/tex]

to give b from both equation the same value

[tex] \frac{a}{b} = \frac{4}{3} \times \frac{2}{2} = \frac{8}{6} [/tex]

[tex] \frac{b}{c} = \frac{2}{3} \times \frac{3}{3} = \frac{6}{9} [/tex]

a:b:c = 8:6:9

a = 8

b = 6

c = 9

Answer:

its 2

Step-by-step explanation:

Answer:

98,000

Step-by-step explanation:

[tex]5^{4} *7^{5}* 2^{8}/16*125*7^{3}[/tex]

[tex]=5^{4} * 7^{5}* 2^{8} /2^{4} *5^{3} *7^{3}[/tex]

[tex]=5^{4-1} *7^{5-3} *2^{8-4}[/tex]

=[tex]5^{3} *7^{2} *2^{4}[/tex]

=[tex]125*49*16[/tex]

[tex]=98000[/tex]

Answer:

Step-by-step explanation:

Factorize all the numbers in numerator and denominator

16 = 2*2*2*2

125 = 5 *5 *5

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex],  where m >n

[tex]\frac{5^{4}*7^{5}*2^{8}}{16*125*7^{3}}=\frac{5^{4}*7^{5}*2^{8}}{2^{4}*5^{3}*7^{3}}\\\\\\=5^{(4-3)}*7^{(5-3)}*2^{(8-4)}\\\\\\=5^1*7^2*2^{4}[/tex]

Answer:

Step-by-step explanation:

|p|=12

p=±12

Answer:

Easy .2619

Step-by-step explanation:

hope it helped

Hey there! I'm happy to help!

Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.

[tex]sin^-^1(2/24)=4.780191847....[/tex]

This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.

Have a wonderful day! :D

Answer:

See below.

Step-by-step explanation:

1. Look at the marks on the angles of both triangles.

Angles C and F have a single mark (that looks like an arc). They are congruent.

Angles A and D have a double mark (that look like arcs). They are congruent.

Angles B and E have a triple mark (that look like arcs). They are congruent.

Each pair of congruent angles is a pair of corresponding angles.

Corresponding angles:

<C and <F

<A and <D

<B and <E

For corresponding sides, we do this.

First, we write a statement of similarity.

Triangle ABC is similar to triangle DEF.

The statement of similarity must have the corresponding angles in the same order.

The order ABC and the order DEF matches corresponding angles.

The corresponding sides have the vertices of corresponding angles as their endpoints.

Corresponding sides:

AB and DE

BC and EF

AC and DF

2. For similar triangles, the ratios of the lengths of corresponding sides are equal.

The ratios of  the lengths of corresponding sides are equal:

AB/DE = BC/EF = AC/DF

3.

<A is congruent to <D

<B is congruent to <E

<C is congruent to <F

Answer: The painter should use stencil one for her project because a series of rigid transformations maps stencil one to the original pattern. The shapes are the same because you don’t have to deform stencil one to match the original shape.

Step-by-step explanation:

i just got a 100

Answer:

a principal square root is always positive

Step-by-step explanation:

When you take a square root of a number, you get a positive and negative number

The principal square root is the positive number

Answer:

[tex] \frac{n}{28 \: cm}[/tex]

Step-by-step explanation:

AC = n, DF = 28 cm

[tex] \huge \red{ \frac{AC}{DF} }= \purple{ \frac{n}{28 \: cm}} \\ [/tex]

Here's the graphing if you need it for proof or etc. & a lil correction!

Answer:

10,5

Step-by-step explanation:

Answer:

y=3/5x+4

Step-by-step explanation:

slope intercept form is y=mx+b

m=3/5

b=4

Step-by-step explanation:

70°+70°+a°=180°

a°=180°-140°

a°=40°

p°=70° (vertically opposite angle)

q°=70°(alternate interior angles)

hope it helps

Answer:

x = ±√(y - 23)

Step-by-step explanation:

y  = x^2 + 23 may be solved for x as follows:

Subtract 23 from both sides, to isolate x^2:

x^2 = y - 23

Take the square root of both sides.   We get:

x = ±√(y - 23)

Answer:

true

Step-by-step explanation:

a mixed number can have the same value as an improper fraction but never as an proper fraction

Answer:

-4 is lesser than 0

Step-by-step explanation:

Exact Form: 34/27

Mixed Number Form: 1 7/27 (one and seven twenty-sevenths)

Decimal Form: 1.259... (never ending)

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 20/3

Step-by-step explanation:

Answer:

it is 50 dollars

Step-by-step explanation:

Answer:

the answer is c.50

Step-by-step explanation:

i just did the assignment

Answer:

551

Step-by-step explanation:

6612 divided by 12 ( number of months) =551

Answer: x = 9

Step-by-step explanation:

Answer:

If you are asking me to combine the expressions, then we can combine like terms to get 19x-6

Step-by-step explanation:

Answer:

2+2 = 4

Step-by-step explanation:

you see..... •• (2) + ••(2) = •••• (4) << you just need to count them

Answer:

The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure

Step-by-step explanation:

Answer:

As Earth cooled, water in the atmosphere condensed

Step-by-step explanation:

dues to high temps, water evaporated.

as the earth's surface cooled, water condensed and formed oceans

rocks hardened to form continents

Answer:

y = -4x + 4

Step-by-step explanation:

8x+2y+2=0

turn that into slope intercept form:

y = -4x - 1

a parallel line has the same slope, but different y-intercept

y = -4x + b

put (2,-4) into the equation

-4 = -4(2) + b

you get b=4

final product:

y = -4x + 4

Answer:

133.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. AB isn't a correct answer because it only refers to the part of the line between point A and point B. This is incorrect because it doesn't represent the whole line which goes on infinity past point A (as seen by the arrow).

2. KJL would not be an appropriate answer because the points must be listed in the same order that they appear in direction of the line. The angle shown is angle K so K should be the middle letter as it is the middle point with the angle. KJL would not be appropriate because it would refer to the angle J if there was another line between J and L.

Hope this helped!

Answer:

90° im pretty sure is the correct answer

Answer:

Convection! :)

Step-by-step explanation: