The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=
Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5
please help!!!!
it’s due today and it’s worth 30% of my grade!!!!
Answer:
2nd one because that's the proportion a
Help pls it math !!!!
Answer:
C. CD and DH
D. EH and GH
F. AD and DH
H. AB and BC
K. FG and EF
Step-by-step explanation:
hope this helps
james is in charge of the decorations. he hs a total budget of $50 to spend for all of the decorations. james spends $20 on one banner and would like to buy balloons that cost $2 each with the rest of the money. Write an equation to represent the situation.
How many balloons can james buy?
Before leaving for his book club meeting, Larry reads the last chapter in his book. The chapter is 15 pages long and contains 1,500 words. He reads the 15 pages in 10 minutes. How many words per minute does he read?
Answer: 150 wpm
Step-by-step explanation:
if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.
1500/10 = 150
Can someone pls help me with this! I need help!!!
A ramp of 13 feet in length is constructed in front of a house that is at a height of 5 feet from the ground. What is the horizontal distance between the front door and the point where the ramp touches the ground?
The horizontal distance between the front door and the point where the ramp touches the ground will be equal to 12 feet.
What is the Pythagoras' Theorem?According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.
As per the given information in the question,
Length of the ramp, h = 13 feet
Height of ramp from the ground, p = 5 feet
Let the horizontal distance is b.
Then, use the equation of Pythagoras' Theorem,
h² = p² + b²
13² = 5² + b²
b² = 169 - 25
b = √144
b = 12 feet.
To know more about Pythagoras' Theorem:
https://brainly.com/question/343682
#SPJ2
The turtle pond measures 40 square feet. 1 turtle requires approximately 2 square feet of space. Using this information, determine the maximum population size of the turtles in the pond.
Answer:
20 turtles
Step-by-step explanation:
40 divide 2 = 20
Find the slope of the line that contains the points (3, -4) and (-1, 5)
Answer:
m = -9/4
Step-by-step explanation:
Hope this helps!
Pls help and SHOW WORKINGS....due ASAP
Answer:
(B). 50°
Step-by-step explanation:
(5x + 55)° = (2x + 100)°
5x + 55 = 2x + 100
5x - 2x = 100 - 55
3x = 45
x = 15
5(15) + 55 = 130°
m∠2 = 180° - 130° = 50°
what is the answer 4, 2, 1/2, or 1/4
Answer:
C. 1
2
Step-by-step explanation:
I can give u the show ur work steps if u want
Option c is the correct one!!
Mia can finish her math homework in 30 minutes. Every night there are 45 problems for homework. How many problems can she finish in 4 minutes?
45 problems 30 minutes
x problems 4 minutes
____________________
[tex] \frac{45.4}{30} = \frac{180}{30} = 6[/tex]
We learnt this way in Turkey.
Answer: 6 problems in 4 minutes
Step-by-step explanation: If there are 45 problem and she can do them in 30 minutes, then you divide 45 by 30 to see how many problems she can do in one minute. 45 problems/30 minutes = 1.5 problems per minute. Then, you multiply 1.5 by 4, because you need to see the 4 minute mark, and 1.5 x 4 = 6. So, your answer is 6 problems.
(brainly pls)
Plot the point (-3,6). Plot the point (4, -5).
Step-by-step explanation:
Go left 3 and then up 6 then make a dot
Go right 4 thend own 5 then make a dot
I hope this helps
Write the equation of a line parallel to the line y = 2x that passes through 0,4
Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.
Answer:
y = 2x + 4
Step-by-step explanation:
To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.
1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.
y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.
2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.
3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).
Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals
2040
&Go do no cheat or dis
Answer: 4(11+12)
Step-by-step : don't ask why I'm even answering this
Select the proper unit multiplier to use when converting 6 ounces to pounds. PLEASE PICK ONE AND ILL GIVE BRAINLIEST
16 oz / 1 lb
16 lb / 1 oz
1 oz / 16 lb
1 lb / 16 oz
none of the above.
Answer:
16oz / 1 lb
Step-by-step explanation:
Simplify -3x^2-5x^2(4x^3-x^2)2
Let's simplify step-by-step.
−3x2−5x2(4x3−x2)(2)
Distribute:
=−3x2+−40x5+10x4
Answer:
=−40x5+10x4−3x2
The beginning balance of Cooper's savings account for the month of September was $5700, and it remained this way for the first 11 days of the month. On September 12, Cooper made a withdrawal of $900, so his balance changed, and it remained the same for a total of 9 days. On September 20, Cooper made a deposit of $1100, so his balance changed again, and it remained the same for a total of 10 days to finish out the month. Cooper's savings account has an APR of
Complete question :
The beginning balance of Cooper's savings account for the month of September was $5700, and it remained this way for the first 11 days of the month. On September 12, Cooper made a withdrawal of $900, so his balance changed, and it remained the same for a total of 9 days. On September 20, Cooper made a deposit of $1100, so his balance changed again, and it remained the same for a total of 10 days to finish out the month. Cooper's savings account has an APR of 3.65%, calculates interest daily, and pays interest at the end of the month. Cooper wants to calculate the amount he earned in interest during the month of September.
Part I: What interest rate does Cooper's savings account pay per day?
Part II: How much did Cooper earn in interest during the first 11 days of September?
Answer:
0.01% ; $6.27
Step-by-step explanation:
Given :
Annual percentage interest (APR) = 3.65%
To obtain the daily interest :
APR / Number of days in a year
3.65% / 365
0.0365 / 365
= 0.0001
= 0.0001 * 100
= 0.01%
B.) Interest earned during first 11 days :
Using the relation :
Interest earned = Principal * Rate * Time
Principal = $5700 ; daily rate = 0.0001 ; number of days = 11
Interest earned = (5700 * 0.0001 * 11)
Interest earned = $6.27
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answer:
1 2/7
Step-by-step explanation:
i did the math :) ................
A value is decrease by 92% for a new value of 13.12 find the original value
Step-by-step explanation:
Decreased by 92% = 8% of original
8% of original value = New value = 13.12
100% of original value = 13.12 * (100/8) = 164.
The original value is 164.
775 earning 4.25% compounded annually after 12 years
help me plz will mark brainliest (final project btw)
Answer:
Angle 1: 68
Angle 2: 136
Angle 3: 46
what is the third side ? due in 2 days
Answer:
the third side could be 8 or 2
Step-by-step explanation:
Answer:
6 < x < 14; answer = 8
Step-by-step explanation:
triangle inequality theorem: sum of any two sides must be greater than the third side
4 + 10 > x x < 14
10 + x > 4 x > 6
Which postulate, if any, make the triangle congruent.??
Please help
Answer:
SAS postulate
Step-by-step explanation:
10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit
A gym in your neighborhood has two payment options.
Option 1 charges a $0 sign up fee with $8 per visit.
Option 2 changes a $23 sign up fee with $2 per visit.
How many times would you need to visit the gym per month in order for the two
options to be equal? Round your answer to the nearest visit. please helppp
Shan exercises daily. Today he did 85 pushups, which is 20 more than he usually does. How many pushups p does Shan usually do? Write an equation to represent this situation, and then solve the problem.
[equation]
Shan does [ ] pushups
Answer:
85 - 20 = p
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Equation: 85-20=65
PLEASE HELP!!
what is true about the graph of the line y= -3x + 4?
a) the line has a slope of 4
b) the line has a slope of -4
c) the line crosses the y-axis below the origin
d) the line crosses the y-axis above the origin
Answer:
d) the line crosses the y-axis above the origin
Step-by-step explanation:
your welcome
An investor bought a number of shares of stock for $1600 after Priess dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Answer:
She originally bought either 20 or 32 shares
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Let the number of shares she bought be represented by 1600/x
This is calculated as:
1600/x = 1120/x + 10 + 4
Multiply through by (x)(x - 10)
1600(x-10) = 1120(x) + 4(x)(x - 10)
1600x - 16000 = 1120x + 4x² - 40x
Collect like terms
4x² + 1120x - 1600x - 40x +16000 = 0
4x² - 520x + 16000 = 0
Using the Almighty formula method
= -b ± √b²- 4ac/2a
a = 4, b = -520 , c = 16,000
Hence:
= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4
= 520 ± √14400/8
= 520 ± 120/8
520 - 120/8
= 400/8
= 50
520 ± 120/8
= 520 + 120/8
= 640/8
= 80
Since we have:
1600/x
When x = 50
= 1600/50
= 32
When x = 80
= 1600/80
= 20
Therefore, she originally bought either 20 or 32 shares
If the sin 60 degrees is 3/2, then the cos ______ degrees = ______.
Answer: If the sin 60 degrees is 3/2, then the cost is 22 degrees and equals a bunch of like 88 degrees
Step-by-step explanation:
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
