Question 8 (5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x? (5 points)
150 degrees
110 degrees
105 degrees
100 degrees
Answers
Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.
In triangle ABC, using exterior angle theorem, we get
[tex]\angle ACD=\angle ABC+\angle BAC[/tex]
[tex]x=75^\circ +30^\circ [/tex]
[tex]x=105^\circ [/tex]
The value of x is 105 degrees.
Therefore, the correct option is C.
Related Questions
Jamal drew the function below. Which explains whether or not his function is linear?
On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.
Answers
Answer:
A it is linear because it has a constant rate of change
Answer:
A.
Step-by-step explanation:
I just finished the test and got it right
(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)
Answers
Answer:
The answer is (3-,5) watch is C cause if you do that but in math form it's the same
I need help. Please answer if u do know
Answers
Answer:
i think is (-3,2) because it look like in negative and posted
Which linear inequality is represented by the graph?
Answers
Answer:
The answer would be the last option. y<2/3x-1
Step-by-step explanation:
The slope is 2/3 and the line crosses the y axis at -1. Since the shaded part is below the line it would make the sign less than (<)
at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost
Answers
Answer:
4,840
Step-by-step explanation:
15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.
Please help ASAP !!
Please help ASAP !!
Please help ASAP !!
Answers
Answer:
7/50
Step-by-step explanation:
That is the simpliest fraction. Hope dis helps
What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5
Answers
Answer:
the answer is D
Step-by-step explanation:
Answer: D AKA (10*5)
Step-by-step explanation:
I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5 STAY SAFE :)USAA is offering a retirement account that is compounded monthly. This account earns 1% interest. His money can remain there for 20 years. He can withdraw it at any time without a penalty. (exponential function equation)
Answers
Answer:
what are we supposed to answer???
Step-by-step explanation:
A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.
Answers
Answer:
Length of the fence required = 135 m
Step-by-step explanation:
Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid
Perimeter of ABCD = AB + BC + CD + AD
Since, AB = BC = EF = ED = 25 m
From the given right triangle BEC,
m∠EBC = m∠ECB = 45°
ΔBEC will be an isosceles triangle.
So, BE = EC
By Pythagoras theorem,
BC² = BE² + EC²
25² = 2(EC)²
EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m
And DC = (DF + EF + EC)
= EC + EF + EC [Since, DF = EC]
= 2EC + EF
= 35.4 + 25
= 60.4 m
Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25
= 135.4 m
≈ 135 m
Therefore, length of the fence required = 132 m
The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)
Answers
Answer:
The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
Step-by-step explanation:
Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.
–42ft, –20ft, –18ft, –8ft.
From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
Lita sees a sign that says you must be more than 48 inches tall to ride a roller coaster.
She writes the inequality as h > 48.
How can she graph the solutions of the inequality?
Plot an open circle at 48 and shade left.
Plot a closed circle at 48 and shade left.
Plot an open circle at 48 and shade right.
Plot a closed circle at 48 and shade right.
Answers
Answer:
Plot an open circle at 48 and shade right.Step-by-step explanation:
Answer:
C :)!
Step-by-step explanation:
What rule would you use to translate a triangle 4 units to the right?
Answers
Answer:
here is what i found also you could of looked it up
Step-by-step explanation:
(x,y)→(x+4,y)
Pl help me I will give Brainly
Answers
Answer:
Both gyms charge the same after 2 months and LA fitness has a greater initial fee.
i need serious help cause i didnt pay attention at all in class
Answers
Answer:-3<y<2
The answer should be D
help how do yall find this easy i cannot-
Answers
Answer:
153/50 or 3.06
Step-by-step explanation:
Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.
Ex. (3/2)*(4/3)
What is the least common denominator of 11/6 and 9/10?
Answers
Answer:
The least common denominator is 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
the least common multiple ( L.C.M ) of 6 and 10 = 30
A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?
Answers
Answer:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Step-by-step explanation:
Regular price of a pair of shoes = $[tex]x[/tex]
Discount offered = 20%
Amount of discount offered = 20% of $[tex]x[/tex]
Discounted price = Regular price - Amount of discount
Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]
Now, it is given that there is a sales tax of 7% as well on the price.
Sales tax is applied on the discounted price.
Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]
Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]
[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]
[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]
Therefore, the expression to represent the final price of the pair of shoes:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Please help me I need the answer for this question. correct one please
Answers
thus ,
x + 50 degree + 55 degree = 180 degree
x = 75 degree
help meeee please math
Answers
Explanation: On Sunday he made 30 because 6 hours x $5 so 55-30 = $25 on Sunday
Please help me with this
Answers
Answer:
The length= 16cm
The width= 6cm
The two long sides are 8cm both so 8 + 8 = 16
And the two short sides are 3cm both so 3 + 3 = 6
So your length should be 16cm and your width 6cm
I HOPE THIS HELPS! ∧ ∧
⊂∵→ω←∵⊃
what is 37 1/4 x 24 Please help!! im doing it for math!
Answers
Answer: 894
Step-by-step explanation:
convert 16 into binary
Answers
convert 16 into binary number is 0b10000
Write an explicit formula for an, the nth term of the sequence 33, 28, 23, ....
Answers
Answer:
I believe it's an = 33 - 5(n - 1) or 38 - 5n they both should work
Step-by-step explanation:
I'm think that explicit formulas are like an = a1 +d(n - 1) and just replace the Variables with the correct numbers
Given:
Quadrilateral ABCD is similar to Quadrilateral GHIJ.
Find the value of x.
A. 4.5
B. 8
C. 9
D. 12
E. 18
Answers
Answer:
A. 4.5
Step-by-step explanation:
5x – 18 > 2(4x – 15).
Answers
Answer:
x<4
Step-by-step explanation:
5x-18>2(4x-15)
5x-18> 8x-30
-18>3x-30
12>3x
4>x
x<4
16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories?
Answers
Answer:
you can set up a proportion
16.0/130 = x/2150
by cross multiplying you get
130x = 34400
divide by 130 and get
x-264.62
Hope this helps good luckkkk :)
Expand the linear expression 4(10x - 4).
40x - 16
40x + 16
40x - 4
10x - 16
Answers
Answer:
the correct answer is 40x-16
Step-by-step explanation:
here,
=4(10x-4)
=40x-16
Which statement is not always true for a parallelogram?
Answers
Answer:
b
Step-by-step explanation:
Answer:
Diagonals are congruent drop a like if you got it right
Step-by-step explanation:
Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0
Answers
Answer:
0.03
Step-by-step explanation:
3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.
Answer:
A
Step-by-step explanation:
3/100=0.03
:))) Helps?
Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?
Answers
Answer:
20/7
Step-by-step explanation:
hope this helps, but basically you divide 20 yards by 7 to get the width of each row
Answer:
8 4 / 7
Step-by-step explanation: