Answers
Answer:
[tex]m\angle CAB=65^\circ[/tex]
Step-by-step explanation:
Angles and Lines
It's convenient to recall two basic principles of angles:
The sum of internal angles in a triangle is 180°
Two linear angles are supplementary, i.e. they sum 180°.
Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.
Now focus on the triangle. The sum of its internal angles is:
x + 40 + 3x + 10 + 180 - 6x = 180
Simplifying:
-2x + 230 = 180
Subtracting 230:
-2x = -50
Dividing by -2:
x = -50 / (-2) = 25
x = 25°
Now find the measure of angle CAB
[tex]m\angle CAB=x+40=25+40=65[/tex]
[tex]\mathbf{m\angle CAB=65^\circ}[/tex]
Related Questions
DO YOU KNOW THE ANSWER???
Answers
Answer: I think it is D x=8(k+c)
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Isolate the variable by diving each side by factors that don't contain the variable, which is 8.
Doug's teacher told him that the standardized score (z-score) for his mathematics
exam, as compared to the exam scores of other students in the course, is 1.20.
Which of the following is the best interpretation of this standardized score? (4
points)
1) Doug's test score is 120.
2)
Doug's test score is 1.20 times the average test score of students in the
course.
3) Doug's test score is 1.20 above the average test score of students in the
course.
O 4) Doug's test score is 1.20 standard deviations above the average test score of
students in the course.
5) None of the above gives the correct interpretation.
Answers
Answer:
Doug’s test score is 1.20 standard deviations above the average test score of the students in the course.
I just took the test and got it right :)
Step-by-step explanation:
y=-2(×-3)(x-2) to standard form
(show work)
Answers
Answer:
y=-2x^2+10x-12
Step-by-step explanation:
graph is shown in image below
Which graph shows the solution to the inequality –0.5x ≤ 7.5?
__________________________________________________
A) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.
B) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded.
C) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded.
D) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
__________________________________________________
Answers
Answer:
The first option
Step-by-step explanation:
Finished assignment
Answer:
the first option
Step-by-step explanation:
If f(x) = x^2- 6 and g(x) = 2x – 1, determine the value of (gºf)(-3).
Answers
A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)
B. 3(y + 2) = x - 1
C. y - 2 = ( 1/3 x + 1)
D y + 1 = 3(x - 2)
Answers
Add 1
y = 3x + 7
B. 3y + 6 = x - 1
Subtract 6, then divide by 3
3y = x - 7
y = 1/3x - 7/3
C. y - 2 = 1/3x + 1
Add 2
y = 1/3x + 3
D. y + 1 = 3x - 6
Subtract 1
y = 3x - 7
When put on a graph, D passes through (2, -1)
Answer is D.
Solve by completing the square.
[tex]x^{2} -8x-5=-3[/tex]
Type in the step before you square both sides.
format ex. [tex](x+2)^{2} =-87[/tex]
Answers
Answer:
x^2 -8x -5 = -3
x^2 -8x -2 = 0
We complete the square by:
1) Moving the "non X" term to the right:
x^2 -8x = 2
2) Dividing the equation by the coefficient of X²
The coefficient of x is 1 so we don't do anything
3) Now here's the "completing the square" stage in which we:
• take the coefficient of X
that is -8
• divide it by 2
-8 ÷ 2 = -4
• square that number
-4*-4 = 16
• then add it to both sides of the equation.
x^2 -8x +16 = 2 +16
That becomes
(x -4)^2 = 18
we take the square root of both sides:
(x -4) = sqr root (18)
x1 = sqr root (18) +4
AND
(x+4) = sqr root (18) -4
x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871
x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871
Step-by-step explanation:
5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)
Answers
Answer:
La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]
La caja tenía 40 bombones.
Step-by-step explanation:
Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:
[tex]\frac{1}{5} +\frac{1}{2}[/tex]
Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.
En este caso, el mcm entre 5 y 2 es 10.
Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:
10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.Entonces:
[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}[/tex]
Ahora simplemente sumas los denominadores:
[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]
La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]
Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:
[tex]1-\frac{7}{10}[/tex]
Restando de manera similar al procedimiento usado para la suma se obtiene:
[tex]1-\frac{7}{10}=\frac{3}{10}[/tex]
Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12 bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?
[tex]cantidad total de bombones=\frac{1*12}{\frac{3}{10} }[/tex]
cantidad total de bombones=40
La caja tenía 40 bombones.
-4 (5x - 1)+ -11 (2x + 4)
Answers
Answer:
−42x−40
Step-by-step explanation:
Ms. Lai loves soup. This weekend she visited each of her family member’s house to drink their soup. She drank 2 cups of soup at her aunt’s place, 4 pints of soup at her uncle’s place, and 2 quarts of soup at her dad’s place. Can you find out how many ounces of soup she drank this weekend???? Give explanation this is due in 15 min HELPP pleaseee
Answers
Answer:
112 Ounces
Step-by-step explanation:
2 Cups + 4 Pints + 2 Quarts = 14 Cups
14 Cups = 112 Ounces
Answer:
144 ounces of soup
Step-by-step explanation:
2 cups= 16 ounces
4 pints= 64 ounces
2 quarts= 64 ounces
64+64+16=144
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
Answers
C) reflection over the x-axis
Can someone please tell me if these are right??? Please be honest and only answer if you truly know please:)
Answers
Answer:
Yes, I think they are right cause i got the same answer
Step-by-step explanation:
PLEASE HELP URGANT The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–13, –9). Find the translation rule and the image of U.
Answers
Answer:
translation -(-7, -4)
1) Last year, Springfield Middle School had 640 students. This year, it has 480
students. What is the percent of decrease? *
Answers
The percent of decrease is -25%.
Given that,
Last year, Springfield Middle School had 640 students. This year, it has 480 students. Calculation:[tex]= (480 - 640) \div 640\\\\= -160 \div 640[/tex]
= -25%
Find out more information about percentage here:
https://brainly.com/question/26080842?referrer=searchResults
(Score for Question 2: 4 points)
2. You buy a pair of pants. The original cost of the pants is $30.00. The pants are on
sale for 20% off. Show your work or explain your mental math for each part! Pls explain!
Answers
0.2x30.00=6
30-6=24
You need to convert the 20 into a decimal so you divide it by 100 and you will have to multiply the result by the price of the pants (30.00) and it will give you what will be discounted. and he only challenges the result (6) by the price of the pants.
So the answers is 24
Answer: 24
Step-by-step explanation:
30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24
Which of the following combinations cannot be the side lengths of a triangle?
1. 2.3 inches, 3.4 inches, and 3.2 inches
2. 4.8 inches, 5 inches, and 1.2 inches
3. 2.5 inches, 2.5 inches, and 2.5 inches
4. 6.7 inches, 1.1 inches, and 7.9 inches
Answers
9514 1404 393
Answer:
4. 6.7 inches, 1.1 inches, and 7.9 inches
Step-by-step explanation:
In order for three lengths to be able to form a triangle, the sum of the shorter two must exceed the longest.
1. 2.3 +3.2 > 3.4 . . . will form a triangle
2. 1.2 +4.8 > 5 . . . will form a triangle
3. 2.5 +2.5 > 2.5 . . . will form an equilateral triangle
4. 1.1 +6.7 = 7.8 ≯ 7.9 . . . will not form a triangle
_____
The symbol ≯ is "not greater than". The typeset version looks like ...
[tex]1.1+6.7 \ngtr 7.9[/tex]
Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.
What is NS?
5 cm
10 cm
20 cm
30 cm
Answers
Answer:
11
Step-by-step explanation:
Help me please need it for now
A painter charges $200 plus $25 per can of paint used.
a. Write a function to represent the total charge for a certain number of cans
of paint.
b. What is the value of the function for an input of 4, and what does it
represent?
Answers
Answer:
A- 200+25x
B- 200+25×4=300
Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought
Step-by-step explanation:
PLEASE ANSWER THESE 4 QUESTIONS WILL MARK BRANLIEST I AM TIMED :)
Answers
Answer:
its 3.
Step-by-step explanation:
HOpe that helped
i will mark brainliest!!!! !!
(picture included with ONE question ^^^^^)
Answers
Answer:
2 and 4
Step-by-step explanation:
the number of years after 2000 cannot be negative, nut it can be 0 since you can say that it is the year 2000
so an inequality would be t is greater than or equal to 0, and you can write this as t [tex]\geq[/tex] 0
4 is just saying what t [tex]\geq[/tex] 0 in word form: t is greater than or equal to 0
The terms of a percentage lease state that rent is 3% of sales up to $100,000 and 2% of sales over $100,000. Your business plan projects monthly sales to average $190,000 per month. There is a $300 per month maintenance fee. What do you project as an average monthly rent plus maintenance fee?
Answers
Answer:
The projected average monthly rent plus maintenance fee is $4,100
Step-by-step explanation:
In the question, we are told that the percentage lease terms state that rent is 2% of sales over $100,000
Since sales is $190,000 projected,
the percentage will be 2% of 190,000
= 2/100 * 190,000 = $3,800
we now proceed to add the monthly maintenance fee
That will be $3,800 + $300 = $4,100
Answer: 5,100
Step-by-step explanation:
The 400-meter race times at a state track meet are normally distributed with a mean
of 52.71 seconds and a standard deviation of 3.8 seconds. Using the Standard
Normal Probabilities table, what is the approximate probability that a runner chosen
at random will have a 400-meter time less than 53.4 seconds? (5 points)
Answers
Answer:
P = 1.214
Step-by-step explanation:
Draw a normal probability curve.
Find the z score which comes out to be 0.18 (0.181578947)
look for the probability in the table.
look across 0.1 and under 8.
Get the probability and add 0.5 to it
so rhats:
0.714 + 0.5 = 1.214
What is the solution to this linear system?Enter a value in each box to create an ordered pair?
Answers
Answer:
2,7 3,6
Step-by-step explanation:
50 POINTS FOR EACH ANSWER!!! Write the difference of the expressions 17x−13y+8 and 20x+6y and simplify it.
Answers
Answer:
-3x-19y+8
Step-by-step explanation:
Answer:
-3x-19y+8
Step-by-step explanation:
thanks for 50 points.
Rewrite the product as a power: [tex]x^{7} y^{7}[/tex]
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {x}^{7} {y}^{7} = ({x \times y})^{7} = ({xy})^{7} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer: ❤️❤️(x*y) 7
=(xy) 7
Multiple choice question
Answers
I think I may be wrong.
Answer:
d
Step-by-step explanation:
2 X 4 =8
8 X 1 = 8
Which term describes the place where two planes intersect?
A collinear
B coplanar
C point
D line
Answers
Yesterday Jack drove 39 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answers
Answer:
31.6 or 31 6/10 or 31 3/5
39.5/1.25 = 31.6
Jack gets 31.6 miles per gallon.
.25 = 1/4
.5 = 1/2
Which number does NOT represent a rational number
A. √144
B. √90
C. √100
D. 0.8
Answers
Answer:
Step-by-step explanation:
B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10) sqrt(10) is irrational.
Struggling with this problem need help badly
Answers
Answer:
Step-by-step explanation:
