Answers
Given:
The figure of a quadrilateral ABCD.
To find:
The supplement of angle ABC.
Solution:
We know that, two angles are called supplementary angles if their sum is 180 degrees.
[tex]\angle ABC+\angle BAC=110^\circ+40^\circ[/tex]
[tex]\angle ABC+\angle BAC=150^\circ\neq 180^\circ[/tex]
So, [tex]\angle BAC[/tex] is not a supplement of [tex]\angle ABC[/tex].
[tex]\angle ABC+\angle ADC=110^\circ+90^\circ[/tex]
[tex]\angle ABC+\angle ADC=200^\circ[/tex]
So, [tex]\angle ADC[/tex] is not a supplement of [tex]\angle ABC[/tex].
[tex]\angle ABC+\angle DAB=110^\circ+(40+30)^\circ[/tex]
[tex]\angle ABC+\angle DAB=110^\circ+70^\circ[/tex]
[tex]\angle ABC+\angle DAB=180^\circ[/tex]
So, [tex]\angle DAB[/tex] is a supplement of [tex]\angle ABC[/tex].
In the same way [tex]\angle ABC+\angle BDC\neq 180^\circ[/tex].
So, [tex]\angle BDC[/tex] is not a supplement of [tex]\angle ABC[/tex].
Therefore, the correct option is C.
Related Questions
Rebecca has been planting young trees in her garden. The maple tree that is 10 centimeters tall
is growing 2 centimeters per month, whereas the oak tree that is 15 centimeters tall is
growing 1 centimeter per month. In a few months, the two trees will be the same height. How
many months will this take and what will that height be?
Answers
Answer:
It will take 5 months and that height will be 20cm.
Step-by-step explanation:
Let the height of the tree be h cm and the number of months be m.
Maple tree
Initial height= 10cm
Total height= 10cm +2(number of months)
h= 2m +10 -----(1)
Oak tree
Initial height= 15cm
Total height= 15cm +1(number of months)
h= m +15 -----(2)
When the height of the two trees are the same,
2m +10= m +15
Solve for m:
2m -m= 15 -10
m= 5
Substitute m=5 into either equation 1 or 2 to obtain the height.
When m=5,
h= 5 +15
h= 20
A stack of one dozen cookies of diameter
5 in. exactly fits in a cylindrical container of
volume 179.715 in.3. Which is the thickness of
each cookie?
Answers
Answer:
.763 in for each cookie
Step-by-step explanation:
[tex]179.715 =\pi (2.5)^{2} h\\179.715= \pi (6.25)h\\179.715=19.635h\\h=9.153\\[/tex]
After you solve for the height you would divide it by 12 to get the thickness of one cookie which is .763 in.
List five examples of materials and equipment that can be used for math activities.
Answers
Answer:
compass
protecter
scale
pencil
Hence, the fives examples are explained.
What is the mathematics?
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes
(1) Ruler
(2) Set-squares
(3) Compass
(4) Divider
(5) Protactor
Hence, the fives examples are explained.
To know more about the maths
https://brainly.com/question/12789483
#SPJ5
A. undefined B. 0 C. 1 D. -1
Answers
Answer:
0
Step-by-step explanation:
Zero .
Cot = 1/tan ∅
But tan ∅= cos∅ / sin ∅
so if ∅/90 then cos 90/ sin 90 x π/2 should be 0
Answer:
The answer is D.) 0
Step-by-step explanation:
JUST DID THE QU
Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?
Answers
Answer: Amount of Money Barak earned last week =$125
Step-by-step explanation:
Amount of money Barak spent= $20
Amount of money spent = 16% of Money earned (X)can be represented as
16% x X =20
0.16 x X =20
X = Money earned last week = 20/ 0.16= $125
HELP ME PLZZ I NEED HELP WITH THIS
Answers
Answer:
25 + 11 hope this helps
Step-by-step explanation:
answer is the third one
Someone please help with this Free Response on USATestPrep
Given the equation y = 12x − 25, describe a real-life context that could be modeled by the equation and describe the meaning of the coefficient, variable, and constant term expressed in the equation.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation :
y = 12x − 25
The initial depth of groundwater being held by a storage tank which extends downward below the ground surface is - 25. The rate of change in depth the groundwater per unit of Rainfall is 12. Hence, a linear model which could model the depth of water in the tank in the described scenario is ;
y = 12x − 25
The rate of change in depth of ground water, y per unit change in number of Rainfall, x gives the slope Coefficient, which equals 12
The intercept value, which is the initial depth of groundwater before, it started raining is - 25
Which statement about 7/3 is true
A. 7/3 = 7 x 3/1
B. 7/3 = 7 x 3/3
C. 7/3 = 7 c 1/7
D. 7/3 = 7 x 1/3
Answers
Answer:
D, the rest are not true about the statement 7/3
Answer:
D. 7/3 = 7 x 1/3
Step-by-step explanation:
[tex]7 * \frac{1}{3} = \frac{7}{1} * \frac{1}{3} = \frac{7}{3}[/tex]
Can someone tell me a proportion to convert 5 pounds to ounces asap. pls someone reply quick
Answers
Answer:
5 pounds = 80 ounces
Hope it helps!!!
q/19 < 4
pls be correct if you type it !!!!
Answers
Answer:
q<76
Step-by-step explanation:
hope this is the answer you were looking for!
if your heat beats 75times per minute how many time does it beat in 5 hours
Answers
Answer:
This is your answer . IfI'm right so,
Please mark me as brainliest. thanks!!!
The measure of ∠DBE is (0.3x−22)° and the measure of ∠CBE is (0.2x−55)°. Find the value of x.
Answers
0.5x=167
X=334
Hope it helps!!
Have a nice day :O
The ratio of girls to boys is 12 girls to 20 boys.
If there are 3 girls, how many boys are there?
There are
boys.
Next Question
Answers
Answer:
5
Step-by-step explanation:
ratio = 12:20
12/4 = 3
so we do
20/4 = 5
there are 5 boys
Another way, we can write it as a fraction
12/20 = 3/x
12x = 60
x = 5
Answer:
5 boys
Step-by-step explanation:
Write it like this:
3/X=12/20
Then, cross multiply.
3*20=60
X*12=12X
12X=60
Divide both sides by 12
60/12=5
X=5
The unknown number is 5
If there are 3 girls, then there are 5 boys.
Bella can run a mile in 9.54 minutes. Linda can run a mile in 8.22 minutes. How much faster can Linda run than Bella? Justify your reasoning.
Answers
Answer:1.16 times
Step-by-step explanation:
Given
Bella can run a mile in 9.54 minutes
Linda can run a mile in 8.22 minutes
We know, [tex]\text{distance=speed}\times\text{ time}[/tex]
Speed of Bella, for running a mile is
[tex]\Rightarrow v_b=\dfrac{1}{\frac{9.54}{60}}=\dfrac{60}{9.54}\\\\\Rightarrow v_b=6.29\ mph[/tex]
Speed of Linda, for running a mile is
[tex]\Rightarrow v_l=\dfrac{1}{\frac{8.22}{60}}=\dfrac{60}{8.22}\\\\\Rightarrow v_l=7.29\ mph[/tex]
So, Linda is faster than Bella, as her speed is more compared to Linda.
Linda is [tex]\frac{9.54}{8.22}=1.16[/tex] times faster than bella
What is 3.45 written as a percentage?
Answers
Answer:
345%
Step-by-step explanation:
DONT ANSWER IF YOU DONT KNOWWWWWW . Click All that apply:)
Answers
Answer:
1.Location
2.shape
3.orientation
Step-by-step explanation:
Answer: Orientation
Step-by-step explanation:
Basically how the shape looks like on a graph for example a right side up triangle would look different from a upside down triangle
please help
ABC = ADC . Find y.
Answers
Answer:
y is 7
Step-by-step explanation:
Write a rational number between -3 and -4.
Answers
Answer:
-3.25
Step-by-step explanation:
Answer:
-3.25
Step-by-step explanation:
sorry I'm wrong.....im not that good at math
A runner covers a distance of 1200m with an average speed of 4m/s. How long does it take to run this distance? Then calculate the time in min.
Be the first answer for Brainliest, please I need help.
Answers
Answer:
5mins
Step-by-step explanation:
well i did 1200 divided y 4 then divided that answer by 60
what is the value of A
Answers
Answer:
There's no picture for me to answer your question.
Step-by-step explanation:
Please help if possible :)
Answers
Answer:
4.5
Step-by-step explanation:
any value of XYZ divided by the corresponding value from RST = 4.5 the scale factor
A city has a population of 320,000 people. Suppose that each year the population grows by 7%. What will the population be
after 15 years?
Use the calculator provided and round your answer to the nearest whole number.
Answers
Population will increase by 105%
100+105=205
320,000. 100%
x. 205%
x=320,000 • 205% divided by 100%
x=656,000 people
Turn away weight loss challenge your friend goes from one $125 lb to 100 lb what was the percent weight loss
Answers
Find the total surface area of the triangular pyramid
A. 98.6 ft
B. 123.6 ft
C. 99.5 ft
D. 201 ft
E. 103 ft
F. 118.1 ft
Answers
Please answer this below Question # 15
Answers
Answer:
[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]
Can someone help me with this problem ??
Answers
A= 120 because B and A are vertical angles
Y= 22° because 120 +38= 158 and 180-158 = 22°
Answer:
a = 120
b = 120
y = 22
a and b and vertical angles
Step-by-step explanation:
angles A and B are vertical angles so they're equal.
you can find angle b because all the angles in a triangle add up to 180
19 + 41 + B = 180
b = 180 - 19 - 41
b = 120
and since theyre equal, that means
a = 120 as well.
since you know a = 120 you can find y.
120 + 38 + y = 180
y = 180 - 120 - 38
y = 22
Richard and Stephen win some money and share it in the ratio 2:1. Richard gets £12 more than Stephen. How much did Stephen get?
Answers
Answer:
12
Step-by-step explanation:
because ratio 2 to 1 = all =3 if Richard got 12 more than stephan that is the one more so In 2 to 1/1=12 so stephan gets 12
Answer:
huh whats that? all you have to do is use the internet
Pig E Bank brags a 4% interest rate compounded annually. If Mr. Ant wants to invest $5,000
on his first born child's birthday and surprise him with the account on the child's 40th
birthday. Write and solve an equation to determine the amount in the account when his
child turns 40.
Answers
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
Find the value of the marked angles in each of the following ( see image ).
Please show workings.
The only given angles are 62° and 85°.
The angle to look for is marked by “))”
Answers
Answer:
(180-62)
118
180-118=62
180-85=95
180-(62+95)
180-157
23
Answer:
23°Step-by-step explanation:
The inscribed is the cyclic quadrilateral.
The opposite angles are supplementary in cyclic quadrilaterals.
The angle opposite to 85° is:
180° - 85° = 95°The missing angle of the triangle is:
180° - (62° + 95°) = 23°What is the range of this data set?
3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8
14.1
15.8
17.8
18.5
Answers
Answer:the answer is 15.8
Step-by-step explanation: