Mathematics College

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

m∠CBD, and m∠ABC.

Answers

Answer 1

Answer:

37, ABD = CBD = 44 degrees, and ABC = 88 degrees

38. ABD = CBD = 24 degrees, and ABC = 48 degrees

39. ABD = CBD = 65 degrees, and ABC = 130 degrees

40. ABD = CBD =67 degrees, and ABC = 134 degrees

Step-by-step explanation:

Recall that when a segment bisects an angle, the angle is divided in equal parts then we have:

37.

6 x + 14 = 3 x + 29

3 x = 19 - 14 = 15

x = 15/3

x = 5

then ABD = 6 (5) + 14 = 30 + 14 = 44 degrees

CBD must equal ABD , so CBD = 44 degrees

And the total angle ABC = 88 degrees

38.

3 x + 6 = 7 x - 18

24 = 4 x

x = 24/4 = 6

Then ABD = 3 (6) + 6 = 24 degrees. Also CBD = 24 degrees and ABC = 48 degrees

39.

- 4 x + 33 = 2 x + 81

- 6 x = 81 - 33

-6 x = 48

x = - 48/6

x = -8

Then ABD = -4 (-8) + 33 = 32 + 33 = 65 degrees

The also CBD = 65 degrees, and ABC = 130 degrees

40.

8 x + 35 = 11 x + 23

35 - 23 = 11 x - 8 x

12 = 3 x

x = 12/3

x = 4 degrees

Therefore:

ABD = 8 (4) + 35 = 32 + 35 = 67 degrees.

Then also CBD = 67 degrees, and ABC = 134 degrees

Related Questions

On January 1, 2009, Jessica owed $10,212 to her friend Sam, who was kind enough not to charge Jessica any interest. Each month during 2009, Jessica paid Sam some of the money she owed. If Jessica still owed Sam $6,612 on January 1, 2010, what was the average amount of Jessica's monthly payments?

Answers

Answer:

551

Step-by-step explanation:

6612 divided by 12 ( number of months) =551

I need help with math can someone please help me

Answers

Answer:

133.1

Step-by-step explanation:

Express the ratio AC/DF in simplest form

Answers

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]

You dont have to do all of them, but if you do you will get brainliest and five star.
1. what are the corrospoding parts of these two traingles? Write the corresponding angles and corresponding sides. 2. Assuming these triangles are simular, use the labels to write the ratios of corresponding sides that are proportional 3. Assuming these triangles are simular, write three statements relating the angle that are congruent

Answers

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

<A is congruent to <D

<B is congruent to <E

<C is congruent to <F

8=3/2(9x-6) and explain

Answers

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.

Solve
y
= x2 + 23 for x.
O A. x= y - 23
O B. = +Jy + 23
O C. X = +VÝ - 23
D. X = y +23

Answers

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)

Find the unknown angles.

Answers

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

A school installs a ramp that will rest on a landing 2 feet high. The ramp is 24 feet long. According to building code, the ramp must not be greater than a 5° angle with the ground. What is the angle formed from the ground? Is the school in compliance with the building code? Group of answer choices

85degree; no

3degree; yes

5degree; yes

8degree; no

Answers

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

Find the equation of the line with slope 3/5 and y-intercept (0,4)

Answers

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

The Perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation. The local kennel allows “Silver” families to pay a rate of $36 per day. For a fee, families can buy a “Gold” membership and will be allowed to board their dogs at a discounted rate as shown in the table. Total Cost, Including Membership Fee, to Board a Dog Type of membership 1 Day 2 Days 7 Days Silver $36 $72 $252 Gold $70 $90 $190 What is the cost of a Gold membership? $20 $34 $50 $70

Answers

Answer:

it is 50 dollars

Step-by-step explanation:

Answer:

the answer is c.50

Step-by-step explanation:

i just did the assignment

is -4 greater or lesser than 0

Answers

Answer:

-4 is lesser than 0

Step-by-step explanation:

I need help on this assignment ASAP.

Answers

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

1+1? i dont now what the answer is.

Answers

Answer:

its 2

Step-by-step explanation:

Chile at this point enjoy life lol it’s definitely 4!

Which of the x-values are solutions to the following inequality

Answers

4(2-x) > -2x-3(4x+1)

What are the possible values for p
Ipl = 12

Answers

Answer:

Step-by-step explanation:

|p|=12

p=±12

A mixed number can have the same value as an improper fraction. True False

Answers

This Answer Is : True.

Answer:

true

Step-by-step explanation:

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

Which led to the formation of oceans after water on Earth’s surface evaporated?

Answers

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

please help with this as soon as possible

Answers

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]

LM is 11x-21 MN is 8x+15

Answers

Answer:

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

Step-by-step explanation:

if a/b = 4/3 and b/c = 2/3, what is a,b, and c?

Answers

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

a principal square root is always...

Answers

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

True, this is the answer oof

Find the slope intercept form of the equation of the line through the points(2,-4) parallel to the line 8x+2y+2=0

Answers

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

write two and six hundreds nineteen thousandths in decimal.

Answers

Answer:

Easy .2619

Step-by-step explanation:

hope it helped

I got “.2619” as the answer

Should the painter use stencil one or stencil two for her project? Why? Explain in terms of rigid transformations.

Answers

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

5x + 3y = 25 & x - 3y = 15.

Answers

Answer:

x = 20/3

Step-by-step explanation:

1. In part (b) of the example, why isn't AB a correct answer? 2. In part (c) of the example, would KJL be an appropriate answer?

Answers

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!

1. Is a blender a convection,conduction,or a radiation? please help

Answers

Answer:

Convection! :)

Step-by-step explanation:

slove for x 7x-22=4x+5

Answers

Answer: x = 9

Step-by-step explanation:

9. What is the angle of rotation for the following figure?
HELP
HELPPP

Answers

Answer:

90° im pretty sure is the correct answer

90 is the correct I’m pretty sure

Hi what’s 2+2? Anyone would like to help..?

Answers

two plus two is four!
you count your fingers

Answer:

2+2 = 4

Step-by-step explanation:

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

Other Questions

Seth found two new ways to get to school. Which route is faster for Seth, when school is 17 miles away?A graph titled Bus Stop 1 has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through (0, 5), (6, 8) and (12, 11).A 2-column table with 3 rows titled Friend's House. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.Bike from work: His dad's work is 5 miles from school and Seth bikes at 0.2 miles per minute.Relative's house: y = 1.2 x minus 4. find the first three terms of the sequence with nth term 2n+4 Forty seven hundredths in standard form Which table of ordered pair represent a proportional relationship? It cost Connor $1.20 to send 8 text messages. How much would it cost to send 98 text messages? PLZ HELP BRAINLIEST!!! solve for v d=m/v How long should a spring be stretched for it to store 45 J of energy? The force constant of the spring is540N/m? Which of the following is true of food webs?a. Food webs don't actually exist in nature.b. A food web shows the flow of decomposersfrom producers to consumers and, finally, toproducers.c. In food webs, detritivores break down organicwaste to return nutrients to the ecosystem.d. When diagramming food chains and foodwebs, the arrows should be drawn from thelower trophic levels to the higher levels toshow the flow of energy.e. As energy is moved up the food web, most of itis conserved by the species in the next trophiclevels. is sounds created over notes played or sung. This creates a unique sound for each note andinstrument. Write a story that ends but everybody was happy An object of mass 30 kg is in free fall in a vacuum where there is no air resistance. Determine the acceleration of the object. F= ? Which colony (Jamestown or Plymouth) would rather live in ? 7. George went to the general store to buy provisions. He bought food itemsworth $35. He had a $25 gift card for the store and he also paid $5 in cash.How much debt does George have with the store?I need it in ten minutes plz help hey can anyone help me out in dis pls Which of the following experimental methods cannot be used to measure the rate of a reaction? Group of answer choices measurement of the absorbance of a colored reactant with time measurement of the change in the partial pressure of a gas-phase product over time measurement of the equilibrium concentration of an acidic product via titration with a strong base measurement of the absorbance of a colored product with time measurement of the change in the partial pressure of a gas-phase reactant over time What is the name of the group of proteins that can speed up the process or reduce the activation energy of a reaction? a) enzymes b) lipids O c) ions d) vitamins Please help me joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year and had a starting salary of $70000. Write an equation for S, in terms of N, representing Josephs salary after working n years for the company. Which function describes the table of values? Which statement correctly connects Hinduism to the religious views of the AryaO Hinduism turned the polytheistic views of the Aryans into one supreme gocO Hinduism kept the polytheistic views of the Aryans but assigned different beHinduism turned the single-god beliefs of the Aryans into the worship of maHinduism kept the single-god beliefs of the Aryans but gave their supreme Who were the earliest Astronomers

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

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

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

m∠CBD, and m∠ABC.