Answer:
a)[tex]\angle ACB = \angle ABC[/tex] By Base angle theorem
b)DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles
Step-by-step explanation:
Given: AC = AB, CD = DE
∠ABC = 70°, m∠ ECB = 35°
Refer the attached figure
AB = AC
So, By Base angle theorem : if the sides of a triangle are congruent then the angles opposite these sides are congruent.
So, [tex]\angle ACB = \angle ABC[/tex]
So,[tex]\angle ACB = \angle ABC =70^{\circ[/tex] ----1
CD = DE
So, by Base theorem
[tex]\angle DCE = \angle DEC[/tex]
Let [tex]\angle DCE[/tex] be x
So,[tex]\angle DCE = \angle DEC[/tex]
[tex]\angle ACB= \angle DCE+\angle ECB = x+35[/tex]
Using 1
70 = x+35
35=x
[tex]\angle DCE = \angle DEC =35^{\circ}[/tex]
Now[tex]\angle DEC=\angle ECB=35^{\circ}[/tex]
So, DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles
1.875 ÷ 1.256 ÷ 4.25 ÷ 1.5 =
pls answer fast!!!!!!
Answer:
answer is 0.2341701 your welcome
152
Find the x of the angle
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So first we will do 180-152 to get the measure of the angle besides the angle. That'll give us 28, then we know that those base angles of this mini triangle are congruent so we will do 28+28 to get 56. Now we will do 180-56 to get the last angle of the triangle, which is 124. And this angle is the same as the angle with x because they are corresponding angles so x is 124°.
Write the word form and fraction form of 0.189.
Answer:
Fraction is 189/1000
Word I guess would be point one eight nine
4. Landon is cooking soup. He has 15 pinan of vegetable broth, 19 pints of milk, and 14 pints of tomato juice. How many gallons does Landon have, if 1 gallon = 8 pints? 6 gallons.
Answer:
6 gallons
Step-by-step explanation:
1) add 15 and 19 to get 34
2) then add 34 and 14 to get 48
3) then divide 48 by 8 to get 6
help pleaseeeeee thanks .
is-2 a solution of the inequality -2x+5__> 9 ?
Answer:
Yes
Step-by-step explanation:
-2 plugged into x would give you 4 then 4 + 5 is 9
The sales tax rate in the state of New York is 8.875. If you buy a pair of shoes for 56.00, how much tax would you pay?
Answer:
4.97
Step-by-step explanation:
Savannah loves to talk on her cell phone. She has $100 in her budget to pay this month’s cell phone bill. Her cell phone plan is $20 per month plus $0.10 per minute of usage. If x represents the minutes of usage, which equation best represents the word problem?
A. 100+20=.10x
B. 100+.10x=20
C. 20 +.10x=100
D. 20-.10x= 100
Answer: C. best fits the word problem.
Step-by-step explanation:
The reason C. best fits is because the bare minimum $20 she has to pay plus .10 times whatever amount of minute's she spends talking has to equal $100 for her to stay in budget. A good example would be say she spends 800 minutes in total on her phone. 0.10 times 800 is 80. So in this hypothetical situation, it would be 20 + 80 = 100.
There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students?
Answer:
4:141
Step-by-step explanation:
first, wright out a ratio with what's given
20(teachers):705(students)
next, simplify the ratio by dividing both sides by the gcf
20: 705
20/5 : 705/5
4 : 141
the soccer team is selling bags of popcorn
Answer:
3p +2c greater than 120. 120∠ 2c + 3p
Step-by-step explanation:
I think this is your answer but, i'm not so sure.
HELP ASAP PLEASE . CONVERT TO STANDARD NOTATION
Answer:
0.000425 and 62570000000.
Step-by-step explanation:
Answer:
1) 425000
2) 62.570000
Step-by-step explanation:
There are 5 under the 10.
1) 10 x 10 x 10 x 10 x 10 = 100000
100000 x 4.25 = 45000
2) There are 7 under the 10.
10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
10000000 x 6.257 = 62.570000.
If you don't understand, count the "0's" and times then by 1 and 0's.
An airline tracks the time an airplane is parked unloading and loading passengers. The line plot displays the amount of time a number of airplanes were parked on one day. If the total amount of time were divided equally among all the airplanes, how long would each airplane have been parked? Amount of Time Planes are Parked A. B. C. D.
Answer:
It was A 4/7
Step-by-step explanation:
Plz help quick this is due in 10 mins! Are they right? Questions are below!
Answer:
the first question is right the next about the sea level i think would be 7.92 then the last would be the value of x should be greater than or equal to -5
Step-by-step explanation:
TIME REMAINING
01:45:37
Which is the graph of the equation ?
Answer:
Lifting weights. Using resistance bands. Using your body weight for resistance, by doing push-ups, pull-ups, crunches, leg squats or push-ups against a wall. Using weight machines at a gym.
Step-by-step explanation:
Took the test on Edge
h(8)=5x-13
help pleasee
Answer:
27
Step-by-step explanation:
substitute the given value into the function and evaluate
Algebra, help please ASAP
Answer:
a
Step-by-step explanation:
m*m= m^2
-15*2=-30
-15m+2=-13m
Answer:
a
Step-by-step explanation:
(m-15)(m+2)
Dovecreek Manufacturing has two facilities that manufacture tents. Each facility produces both the Expedition tent and the
Excursion tent. The daily production labor hours for each department are given in the following two matrices.
Delores Plant
Cortez Plant
Expedition Excursion
Expedition Excursion
Sewing
45
60
Sewing
54
72
(
1
1
Assembly
72
108
Assembly
63
104
Which of the following matrices shows the combined daily labor hours for each department from both facilities?
OA.
99 132
135 167
ОВ.
105 180
126 212
C.
117 168
117 176
99 132
135 212
Answer:
dts on sundar
Step-by-step explanation:
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
Answer:
324 calories
Step-by-step explanation:
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
The unit rate for calories per cup = calories per cup
3/4 cup serving = 81 calories
3 cups of cereal = x calories
We Cross Multiply
3/4 × x = 81 × 3
x = (81 × 3) ÷ 3/4
x = 243 × 4/3
x = 324 calories per cup
There are 324 calories in 3 cups of cereal
Is the sequence bellow
geometric?
6, 12, 18, 24, 30, 36, 42
Answer:
Yes because its a pattern of sixes???
Answer:
No
Step-by-step explanation:
There is no common ratio between these numbers
12/6 = 2
18/12 = 1.5
24/18 1.333 etc
However, this is an arithmetic progression as it has a common difference of 6
What are the terms in the expression 7x+4y+1?
A. 7x, 4y, and 1
B. 7 and 4
C. 1
D. x and y
Answer:
D.
x and y are the terms think about the letters in the expression and those are the terms.
Which symbol should go into the box to make the statement true?
|17| |17
Answer: equals 17
Step-by-step explanation:
Answer:
The answer is = for 17 and |17|
(2x−6)+4(x−3) i need help as fast as possible explain and answer pls
Answer:
6x-18
Step-by-step explanation:
(2x-6) + 4(x-3)
(2x-6) + (4x-12)
2x - 6 + 4x - 12
6x-18
Answer:
6x-18 (simplified)
Step-by-step explanation:
Find the values of x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; top, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees
Given:
Consider the below figure attached with this question.
Angles of a triangle are x, y and z.
To find:
The values of x, y and z.
Solution:
If two angles are linear pair, then their sum is 180 degrees.
[tex]y+(3x+5)=180[/tex]
[tex]y=180-3x-5[/tex]
[tex]y=175-3x[/tex]
Similarly,
[tex]z+(3x-5)=180[/tex]
[tex]z=180-3x+5[/tex]
[tex]z=185-3x[/tex]
According the the angle sum property, the sum of all angles of a triangle is 180 degrees.
[tex]x+y+z=180[/tex]
[tex]x+(175-3x)+(185-3x)=180[/tex]
[tex]-5x+360=180[/tex]
[tex]-5x=180-360[/tex]
[tex]-5x=-180[/tex]
Divide both sides by -5.
[tex]x=36[/tex]
The value of x is 36.
[tex]y=175-3(36)[/tex]
[tex]y=175-(108)[/tex]
[tex]y=67[/tex]
Now,
[tex]z=185-3(36)[/tex]
[tex]z=185-108[/tex]
[tex]z=77[/tex]
Therefore, the values of x, y and z are 36, 67 and 77 respectively.
I OFFER 100 POINTS AND WHOEVER ANSWERS FIRST WILL BE BRAINLIEST
(SHOW WORK IF YOU CAN PLZ)
For f(X)=1/x-5 and g(X) =x^2+2, find f(g(x)) and (g o f)(6)
Which expression uses the associative property to make it
easier to evaluate 6(1/3•7/5)?
A. (6•5/7)1/3
B. (6•1/3)7/5
C.6(7/5•1/3)
D.3(1/6•7/5)
Answer:b
Step-by-step explanation:
The associative property for the expression is (6 • 1/3)7/5.
What are the Properties of Multiplication?Certain rules that are used while multiplying numbers are known as the characteristics of multiplication. All types of mathematical expressions, whether they be algebraic expressions, fractions, or integers, can be solved thanks to these features, which make it simple to simplify expressions.
Given expression 6(1/3 • 7/5),
to write its associative property
The Associative Property of Multiplication states that altering the way the numbers are grouped has no impact on the result of the multiplication.
a(b . c) = (a . b)c
6(1/3 • 7/5) = (6 • 1/3)7/5
Hence correct expression for the property is option B, (6 • 1/3)7/5.
Learn more about the Properties of Multiplication;
https://brainly.com/question/386524
#SPJ5
Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?
Answer:
13 9/14
Step-by-step explanation:
Add the blue + red fabric
1. Make the denominator the same
6 7/14 + 7 2/14
2. Add
6 7/14 + 7 2/14 = 13 9/14
Answer:
13 9/14
Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest
PLS help!!!! I am super confused and I have a test soon.
a car decelerated from zero 40 mph to 0 mph what is the deceleration of thecar?
Answer:
40
Step-by-step explanation:
Deceleration means how much did it go down? It makes sense that 40 is correct! Let me know if I'm wrong.
Helen has two more than twice the number of Gail's pokemon cards. If you increase the number of Gail's pokemon cards by 10, she will have the same number of pokemon cards as Helen has. How many pokemon cards does Gail have?
Answer:
Gail will have 8 cards before adding those 10, 18 if she added those 10.
Step-by-step explanation:
When Gail has 8 cards then Helen would have 18 cards, whicj is twice more than double that of Gail's.
Answer:over 10
Step-by-step explanation:
Get sticke bugged lol
3x-2y=10 solve for y
Answer:
y = 3 /2 x − 5
Step-by-step explanation:
It's hard to write out an explanation for this one but you could also plug it into an algebra calculator to check mine and your answer :))
What is the scale of a map if 1 cm on a map represents 20 km in real life?
Answer:
1cm: 20km
Step-by-step explanation: