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
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.
2. A line has a slope of 5
Answer:
Step-by-step explanation:
Confused ♀️??
Answer:
I need more information
Step-by-step explanation:
A line has a slope of 5
whats the question??????????
Carl is estimating 653 - 644. His work is shown below.
700 - 600 = 100
What is the actual difference? Is Carl's estimate reasonable? If not, how could he have made a closer estimate?
Answer:
actual difference is 9
Step-by-step explanation:
the estimate is not reasonable.
he should have done 650-640.
Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest side of the triangle is not known. How many different triangles can be drawn with these dimensions? Explain your reasoning.
Step-by-step explanation:
Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90.
If one of the angle is 90 degrees, it would mean that he has drawn a right angle triangle.
Hypotenuse is the longest side of the triangle. We can find it using Pythagoras theorem as follows:
[tex]h=\sqrt{5^{2}+12^{2}}\\\\=13[/tex]
The longest side is 13 cm.
If we keep the longest side the same and if two sides i.e. 5 cm and 12 cm are replaced, a new triangle can form.
stion
Factor the difference of squares.
x2 - 400
The factored form of x2 - 400 is
Answer:
The factored form of x²-400 is (x+20)(x-20).
Step-by-step explanation:
Given the expression
[tex]x^2\:-\:400[/tex]
As the square of 20 is 400. Therefore, rewrite 400 as 20²
⇒ [tex]x^2-20^2[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
Thus, the expression becomes
[tex]x^2-20^2=\left(x+20\right)\left(x-20\right)[/tex]
Thus, the factored form of x²-400 is (x+20)(x-20).
Identify the x-intercept and the y-intercept of the graph of 6x + 15y = −30.
A. x-intercept: 2; y-intercept: 5
B. x-intercept: −2; y-intercept: −5
C. x-intercept: 5; y-intercept: 2
D. x-intercept: −5; y-intercept: −2
Answer:
D
Step-by-step explanation:
Please help I don’t understand
Answer:
Step-by-step explanation:
when you draw a line through both it show that the are parallel and will never touch.
Answer:
simple
Step-by-step explanation:
i can't give the answer but a hint is that AC is the same as dot A and Dot C you see on the image and EF is dot E and dot F on the image too.
show how both are paralell(lines never meet).
You are taking books from the library. There are 20 romance novels and 13 thrillers. You are picking three
books and you want at least on of each genre. How many combinations of books are there?
Answer:
2
Step-by-step explanation:
In 2020, the United States population is 3.31 x 108. What is this number in standard form?
А
33,100,000
B
331,000,000,000
С
331,000,000
D
3,310,000
anybody know the answer??
Answer:331,000,000
Step-by-step explanation:
Which facts could be applied to simplify this expression? Check all that apply.
5 x + 3 y + (negative x) + 6 z
Answer:
The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.
C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.
D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.
-79, -78, -77, -76, ...
Expression:
37th term:
Can somebody help please
What is the question?
i suck at this math stuff please help
Answer:
Its the second one
Step-by-step explanation:
Solve plzzz
simplify
Answer:
this is the answer do follow me for more answer
Answer:
[tex]\huge\boxed{\sf \frac{-16}{147} }[/tex]
Step-by-step explanation:
Multiplicative Inverse of [tex]\sf 3\frac{1}{2} (\frac{7}{2} )[/tex] = [tex]\sf \frac{2}{7}[/tex]
Multiplicative inverse of any number is the reciprocal of that number.
Additive inverse of [tex]\sf 2\frac{5}{8}(\frac{21}{8} )[/tex] = [tex]\sf -\frac{21}{8}[/tex]
Additive Inverse of any number is the number that has the opposite sign.
Solution:
[tex]\sf \frac{2}{7} / - \frac{21}{8} \\\\\frac{2}{7} * - \frac{8}{21} \\\\= \frac{2*(-8)}{7*21} \\\\= \frac{-16}{147} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Bob says that when he multiplies (x+3) (x-3) he gets x^2-6x-9 is he correct explain
Divide 1/4 and 2/3 and express the answer in simplest form
Answer:
3/8
Step-by-step explanation:
It just is
Answer:
3/8
Step-by-step explanation:
hope this helps!
.
In $\triangle PQR,$ the sum of $\angle P$ and $\angle Q$ is $60^\circ.$ What is the measure of $\angle R?$
Answer:
120
Step-by-step explanation:
We know that : m<P + m<Q= 60.
So, 180-60=120
Translate this phrase into a mathematic expression: “A number less than 7”
Answer:
7 - ?
Step-by-step explanation:
Write and expression like and you should have a right answer. Hope this helps and good luck :)
Answer:
x<7
Step-by-step explanation:
Hope this helps.
A linear function is parallel to the linear function f(x) = 4x + 8 and also runs through the point (2 , 18). What is the equation of this linear function?
A.) y = 4x + 18
B.) y = 4x + 10
C.) y = -1/4x + 10
D.) y = 4x + 26
C.) y = -1/4x + 18
Answer:
a
Step-by-step explanation
What is 10% of 70?
14
0.7
78
7
Answer:
7 is the answer :> mark brainliest <3
Which ordered pairs represent the following transformation?
translation: 3 units right and 4 units up
Z(-4,-3), 1(-2,-2), V(-2,-4)
Z'(1,1), l'(1,5), V'(1,0)
O Z'(-1,1), l'(1,2), V'(1,0)
Z'(-1,-1), I'(4,2), V (1,0)
O Z'(-7,0), l'(6,7), V'(0,0)
I’ll GIVE BRAINLIEST!!!!
Answer:
yes
Step-by-step explanation:
LAST QUESTION AND HURRY IM BEING TIMED Last year, the enrollment at Highland Middle School was 800 students. This year, the enrollment dropped to 700 students due to the opening of a new middle school. Which best reflects the percent change in enrollment at Highland Middle School from last year to this year?
Answer:
-12.5
Step-by-step explanation:
help please? 1.9x10⁵/2.5x10⁻⁹
Answer:
6.33...
Step-by-step explanation:
1.9x10^5 = 190 000
2.5x10^-9 = 0.000000003
190 000/0.000000003 = 6.333....
Answer:
7.6 ✕ 10^13
Step-by-step explanation
Find the percent of change from 74 hours to 85 hours.
Answer:
The answer would be 14.8645, but it'd be repeating, so it's actually 14.864864864864865.
I think you should write the entire number down just in case.
I'm so sorry. It would be a percent increase, so it's a positive.
i need help with this fast
Hey could anyone help me out it's currently 3:40 am where I am and I am making Ramen and don't know what I'm doing so could you help please and thank you.
Toby’s cup can hold 8 times as many ounces of water as Terry’s. Tom’s cup holds 5 more ounces of water than Terry’s. Together, the cups hold 35 ounces of water. How many ounces of water does Toby's cup hold?
Answer:3.75
Step-by-step explanation:
Answer these two get marked brainiest!
Answer:
1. 1.5
2.
Step-by-step explanation:
I KNOW THE FIRST ANSWER IS CORRECT
Answer:
1. 1.5 miles
2. 1,700
Step-by-step explanation:
Hope this helped!!
Brainliest?
A cook uses
5 parts of vinegar for every 8
parts of olive oil in a salad dressing recipe. Which statement is true?
The cook should use
3/5 tablespoon of vinegar for every tablespoon of olive oil.
The cook should use
5/8 cup of olive oil for every cup of vinegar.
The cook should use
1 3/5
cups of olive oil for every cup of vinegar.
The cook should use
1 3/5
tablespoons of vinegar for every tablespoon of olive oil.
Answer:
123
Step-by-step explanation:
Because of the 1 carrying to the 2 eating the 2 to the 3
Answer: 1 3/5
Step-by-step explanation:
Jeff hikes 1/2 mile every 15 minutes, or 1/4 hour. Lisa hikes 1/3 mile every 10 minutes, or 1/6 hour. How far do they each hike in 1 hour?
Answer:
they each hike 2 miles
Step-by-step explanation:
Jeff: 15=1/2
*4 *4
60 min=2 miles
Lisa: 10=1/3
*6 *6
60 = 2
The distance from Polnt A to Point B on a scale drawing Is 6 cm. If the scale is 1cm : 10m. What is
the actual distance from A to B?
Answer:6 m.
Step-by-step explanation: if its 10 m then it has to be 6 m instead of 6 cm i think