Point D is in the interior of ∠ABC. What is m∠DBC?
37.5 degrees
we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.
The measure of angle ∠DBC is,
⇒ ∠DBC = 35.5°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Point D is in the interior of ∠ABC.
And, ∠ABD = (3x + 22)°
⇒ ∠DBC = (x - 4)°
Clearly, Both angle make a linear pair.
Hence, We get;
⇒ ∠ ABD + ∠DBC = 180°
⇒ (3x + 22) + (x - 4) = 180°
⇒ 3x + 22 + x - 4 = 180
⇒ 4x + 18 = 180
⇒ 4x = 180 - 18
⇒ 4x = 162
⇒ x = 162/4
⇒ x = 40.5
Hence, The measure of angle ∠DBC is,
⇒ ∠DBC = (x - 4)°
⇒ ∠DBC = (40.5 - 4)°
⇒ ∠DBC = 35.5°
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1. Expand to write an equivalent expression: −14(8x+12y)
2. Factor to write an equivalent expression: 36a−6
Pls answer (No links)
Answer:
-112x-168y, 6(6a-1).
Step-by-step explanation:
-14(8x+12y)
-112x-168y
--------------
36a-6
6(6a-1)
Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle.
11, 13, 25
A) Not a triangle
B) right
C) acute
D) obtuse
Answer:
the triangle is an acute triangle
PLEASE HELP IM A FAILURE
Answer:
B
Step-by-step explanation:
B ask me 4 help i got your back..dont want you to fail.
Write an equation of the line that passes through (-6,0) and (0,-24)
A boat can travel 10 miles downstream in the same time it
can travel 3 miles upstream. The speed of the river
current is 2 miles per hour. Which equation could you use
to find the speed of the boat in still water?
Answer:
[tex]\frac{10}{x+2} = \frac{3}{x-2}[/tex]
Step-by-step explanation:
The 10 represents the speed traveling downsteam while the 3 represents speed upstream. Downstream you have the help of the current, so it would be x + 2, upstream you are working against the current so it would be x - 2.
I need to factor this
Answer:
10(y+28)
Step-by-step explanation:
im factoring : 44+10y+24
to get this : 10y+280
final answer :=10(y+28)
______________________
Hope this helps!
*sorry im a little late on the answer :D
HELP PLEASE DUE TODAY
Which choice shows the corresponding sides as equal ratios?
Option A, DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From the given triangles
In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.
In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.
As the two triangles are similar.
DE/AB=6/3=2
EF/BC=8/4=2
DF/AC=10/5=2
So DE/AB=EF/BC=DF/AC=2
Hence, Option A DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
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WILL GIVE BRAINLIEST
Answer:
10
Step-by-step explanation:
5+ x= 3x - 21+6
5+21-6= 3x-x
20=2x
x=20/2
x=10
EXTRA POINTS IF U CAN ANSWER THE QUESTION CORRECTLY (no links)
Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?
Pls hurry !
Answer:
4.5
Step-by-step explanation:
no explanation necessary
HELP PLZ
1. A new bicycle sells for $300. It is on sale for off the regular price. Select all the
expressions that represent the sale price of the bicycle in dollars.
A. 300 •1/4
B. 300 • 3/4
C. 300 - (1 - 1/4)
D. 300 – 1/4
E. 300 – 1/4•300
Answer:
Step-by-step explanation:
All of them beside D and A
This will be the last easy question I'll make. tomorrow I'll make two more easy questions.
Whoever answers, I'll give brainliest:) (i won't always choose the first person, it's random btw)
what is 100x 30?
remember to spread kindness <3
Answer: 3000
100 x 30 = 3000
Answer:
3000 is the answer
Step-by-step explanation:
Here ya go :)
Recipe calls for 2 tablespoons of orange juice a can of orange juice 21 fluid ounces how many tablespoons are there in the can
Answer:
42 tablespoons
Step-by-step explanation:
a tablespoon is 1/2 a fluid ounce.
so, 21x2= 42
A rainbow is an arc of colors that is visible in the sky, caused by the refraction and dispersion of light after rain or other water droplets in the atmosphere .The colours of the rainbow are generally said to be red
Answer:
Red, orange, yellow, green, cyan, blue and purple.
Step-by-step explanation:
The rainbow is a colorful visual and meteorological phenomenon, in which the range of colors that compose the visible light in the sky appears. The phenomenon occurs when the sun's rays fall on raindrops in the Earth's atmosphere and is an example of refraction, after reflection. Each color is refracted at a different angle inside the droplets (which act like small prisms), it undergoes a different deflection and so the visible white light is analyzed in the different colors that compose it.
is there another word for synonym?????
Answer:
exactly, or nearly the same
Step-by-step explanation:
The word synonym means the same word of...
The word antonym means the opposite word of...
Hope that helps
which of the following expressions represent the number of distinguishable permutations of the letters of the word conclusion
Answer:
See explanation
Step-by-step explanation:
In most cases, we run into the problem of arranging objects that are repeated. This often occurs when we have a word that has repeated letters.
Let us recall that permutation deals with arrangements which are distinguishable.
Hence, for the word CONCLUSION, the number of distinguishable arrangements are;
10!/2!2!2!
Please I need this today!! Thank you!!
Answer:
I suck I wish I can help to
What is the common ratio for this geometric sequence!
27, 9, 3, 1, ...
Answer:
1/3
Step-by-step explanation:
The ratio is 1/3 because it's just like dividing 27/3 = 9 and so on.
in the figire shown, t || x and k || w and m<3=20°. Choose the list which includes all of the other angles that measures 20°
Answer: (d)
Step-by-step explanation:
Given
[tex]\angle 3=20^{\circ}[/tex]
from the figure, we can write
[tex]\angle 1=\angle 3\quad [\text{vertically opposite angles}][/tex]
[tex]\angle 3=\angle 7\quad [\text{corresponding angles}]\\\angle 5=\angle 7\quad [\text{vertically opposite angles}][/tex]
[tex]\angle 1=\angle 16\quad [\text{corresponding angles}][/tex]
Also,
[tex]\angle 16=\angle 14\quad [\text{vertically opposite angles}][/tex]
[tex]\angle 14=\angle 9\quad [\text{corresponding angles}][/tex]
[tex]\angle 9=\angle 11\quad [\text{vertically opposite angles}][/tex]
I suck at math so thanks for helping
Answer:
7.5
Step-by-step explanation:
The square has 4 equal sides, so you take the p,(30) and divide it. 30/4 = 7.5
To check your answer add 7.5 four times since the square has 4 equal sides.
7.5 + 7.5 = 15
15 + 7.5 = 22.5
22.5 + 7.5 = 30
Laura borrowed $48,000 at a 6% interest rate for 6 years. what was the total interest?
Answer:
$17,280
Step-by-step explanation:
Formula:
I = Prt
Given:
P = 48000
r = 0.06
t = 6
Work:
I = (48000)(0.06)(6)
I = 17280
I need help for this problem
Answer:
(-8,-2) try it
Step-by-step explanation:
2x+7 + 3x+1 +x what’s the answer
Answer:6 + 8
Step-by-step explanation:
Add the numbers
Combine like terms
Answer:
the answer is: 6x+8
Step-by-step explanation:
also can I have brainliest please? :)
x + 17 = 23
Need help
Answer:
lol it's x =6
Step-by-step explanation:
hope this helps
Answer:
x = 6
Step-by-step explanation:
x+17=23
17-17 = 23 - 17 17 cancels
x = 6
What is the measure of ∠AZB in the figure?
Answer:
m∠AZB = 129°
Step-by-step explanation:
From the figure attached,
m∠AZB = m∠AZC + m∠CZB
It's given that measure of angle AZC = 90°
And measure of ∠CZB = 39°
Therefore, m∠AZB = 90° + 39°
= 129°
CAN SOMEONE PLEASE HELP ME WITH THIS :<
Answer:
A
Step-by-step explanation:
PLS HELP! WILL MARK BRAINLIEST
Find x. Round to the nearest tenth.
A) 500.1 m
B) 502.4 m
C) 505.8 m
D) 507.2 m
Answer:
B)502.4
i tried it that what i got i don't know about u
A lawnmower is on sale for 45% of its original price of $355 what is the sale price
Answer:
$195.25Step-by-step explanation:
Original price = $355Sale = 45%Sale price:
$355*(100 - 45)/100 = $195.25your sale price should be, $195.25
the origonal price is, $355
sale happens = 45%
Sale price:
$355 times [tex]\frac{(100-45)}{100}[/tex] = $195.25
Hope this helps!
The radius of the circle is 3 inches what is the area
Answer:
28.27in
Step-by-step explanation: