What type of triangle is ABC?
Give reasons for your answer.
Answer:
I'll say that it is a scalene triangle because all of the sides of the triangle have different lengths.
Angle CAB is congruent to angle ACD because they are alternate interior angles (note the parallel lines AB and DE). So this makes angle CAB to be 50 degrees.
For similar reasoning, angle BCE = angle ABC = 80 degrees.
Focus on the angles that are centered at point C. Those three angles form a straight line so they add to 180 degrees.
(angle ACD) + (angle ACB) + (angle BCE) = 180
(50) + (angle ACB) + (80) = 180
(angle ACB) + 130 = 180
angle ACB = 180-130
angle ACB = 50 degrees
Ultimately, this leads to triangle ABC having the interior angles of A = 50, B = 80 and C = 50.
Because we have exactly two interior angles that are the same measure, this must mean triangle ABC is isosceles. The congruent angles are opposite the congruent sides, meaning that AB = BC.
what is the answer to this question? Please give me the short answer and long answer.
Answer:
Each triangle weighs 3 grams.
Step-by-step explanation:
On the left side, there are 6 squares (12 grams) 3 circles (9 more grams), and 2 triangles (2x grams).
On the right side, there are 3 squares (6 grams) 2 circles (6 grams), and 5 triangles (5x grams).
This makes the equation 21 + 2x = 12 + 5x.
Let's find x.
21 + 2x = 12 + 5x
Subtract 5x from both sides.
21 - 3x = 12
subtract 21 from both sides.
-3x = -9
Divide by -3.
x = 3.
Each triangle weighs 3 grams. Let's prove this.
21 + 2x = 12 + 5x
21 + 2(3) = 12 + 5(3)
21 + 6 = 12 + 15
27 = 27
HELP!!!! WILL GIVE BRAINLYIST
Answer:
1.071
Step-by-step explanation:
[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]
Need help answering this question.
Answer:
121
Step-by-step explanation:
If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME
Urgent help … If you know,Please help me ☹️☹️☹️
Graph a line that is perpendicular to the given line. Determine the slope of the given
line and the one you graphed in simplest form. Click and drag on the graph to draw a
line.
Answer:
y=2/3
Step-by-step explanation:
Find two points on the line and find the slope.
1,-3 -1,1
y1-y2/x1-x2
-3-1/1--1
-3/2
Then find the reciprocal of this slope by flipping the numerator and the denominator, changing the sign from positive to negative and visa versa.
A linear function has a y-intercept of -9 and a slope of 7/3. What is the equation of the line?
Answer:
D
Slope is 7/3so in front and - 9 is y intercept so is after
Add and subtract fraction word problem
Answer:
9/10
Step-by-step explanation:
Answer:
3 glasses of milk will give you 9/10 of the recommended amount of calcium per day!
Step-by-step explanation:
Firstly, Let's identify the amount per day as show by the problem that is 3/10.
In simple terms, the question requires us to find the amount of calcium 3 glasses would provide.
Well, if one glass provides 3/10.
To find the value of three glasses, we need to multiply!
[tex]\frac{3}{10}*3\\\frac{3}{10}*\frac{3}{1}[/tex]
The amount of calcium three days would provide is [tex]9/10[/tex].
Hope it helps! :)
Members of alachua district choir were given the choice between romanticism or gothic style singing which style they preferred sing for the state competition
Here is the complete question.
Members of the Alachua district choir were asked when given the choice between romanticism gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:
48 males preferred Romanticism
63 males preferred Gothic
59 females preferred Romanticism
62 females preferred Gothic
Part A: Fill in and complete the following contingency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.
Romanticism Gothic Total
Males
Females
Total
Part B: Which style was preferred as the state competition piece and by what percentage?
Part C: Which subject was preferred the most by Males?
Part D: What frequency does 125/232 represent?
Answer:
The answer is below
Step-by-step explanation:
Part A:
Romanticism, Gothic, Total
Males 48, 63, 111
Females 59, 62, 121
Total 107, 125, 232
Part B: The preferred style is Gothic by a percentage of
P = 125 ÷ 232
Hence, we have P = 54%
Part C: Based on the table provided, the subject aspired the most by males was Gothic since 63 males chose it over 48 chose Romanticism.
Part D: The frequency 125/232 depicts the total of people that preferred Gothic over the total of people in both categories.
What is the solution to 85<-5x+5?
A. x < 16
B. x > 16
C. x < -16
D. x > -16
Answer:C. x < -16
Step-by-step explanation:
DID I GET THIS RIGHT PLEASE HELP ITS DUE IN 10 MINUTES ( DONT GIVE ME A LINK PLEASE)
Answer:
yes that is
Step-by-step explanation:
Use the equation below to find y, if m =6, x = 3, and b = 5.
y = mx + b
Find the value of $x$ . Round your answer to the nearest tenth.
A right-angled triangle facing downward, shortest side labeled x, second side labeled 15 and angle on the second side is labeled 27 degrees.
$x\approx$
Tan(angle) = Opposite / adjacent
Tan(27) = x/15
x = 15 * tan(27)
x = 7.6
You decide to get an estimate on the cost of repairs for the green food truck. The mechanic explains that the cost of the repairs comes out to be about $9,500. This price includes the cost of labor and the cost of the parts needed to do the repairs. If labor costs are 3/5 the cost of the parts, how much would you save by doing the repairs yourself and just purchasing the parts?
Answer:
you save labor : 3562.50
Step-by-step explanation:
You want to calculate for labor.
labor = 3/5 (parts)
labor + parts = $9500 (total costs)
3/5 parts + parts =9500
3/5 parts + 5/5 parts = 9500
8/5 parts=9500
5/8(8/5 parts) = 5/8 (9500)
‘parts = 5937.50
labor=3562.50 (3/5 x 5937.50)
total = 9500
The height h, in feet, that an arrow will reach 1 seconds after being shot directly upward is given by the formula h = 1121 - 1612
How high will the arrow be after 4 seconds?
Answer:
4484 - 6448
Step-by-step explanation:
Given: 1 second = 1121 - 1612.
To find: How high the arrow will be after 4 seconds.
Solution:
If 1 second = 1121 - 1612, then 4 seconds = 4 × 1
4 × 1121 - 1612 = 4484 - 6448
Therefore, the arrow will be as high as 4484 - 6448 in 4 seconds.
Use the graph that shows the solution to f(x) = 9(2).
What is the solution to f(x) = g(x)?
Select each correct answer
Answer:
Step-by-step explanation:
hello :
the first graph : 1 and -1 at second ; 2
Please help thank youu!
Answer:
the answer would be 11. bc 2 x 3=6 + 5= 11
U have to substitute the y for 3
Answer:Y = -7
Step-by-step explanation:
In 0.46, in which place is the 6?
Answer:
hundredths
Step-by-step explanation:
the 4 is in the tenth place therfore the 6 is in the hundredth place because it is 46/100
Anybody who want extra points I can give it too you, NOT A JOKE I AM SERIOUS.
Just answer this question:
Answer:
? 40.50
Step-by-step explanation:
90 ÷ 20 × 9 = 40.5
Answer:
cost of 9article is 40.50
hope it helps.
How does 0.07/2.8 equal the same answer as 7/280?
Answer:
4.065
Step-by-step explanation:
40.6 divide by 5 so answer is 4.065
Answer:
Step-by-step explanation:
0.07/2.8 = 0.025
7/280 = 0.025
Yes they are same because their answer is same
use the difference of two squares to find the value of 612 - 392
Answer: 4 (153 - 98)
formula is a^2-b^2=(a+b)(a-b)
factor out the GCF:
4(153−98)
both terms are not perfect squares so
you cant factor it further.
Some answer this please
Answer:
-15/4 = y
Step-by-step explanation:
3x-8y=39
3*3-8y=39
9-8y=39
y=-15/4
Evaluate the function for an input value of 3. f (x) = -4x^2 – 3x – 5
Answer:
-50Step-by-step explanation:
Function given:
f(x) = -4x² – 3x – 5Evaluate the function for an input value of 3
Input value is x = 3, output value is:
f(3) = -4(3²) – 3(3) – 5 = -4(9) - 9 - 5 = -36 - 14 = -50f(3) = -50f(3)
-4(3)²-3(3)-5-4(9)-9-5-36-14-50circumference of a circle with a radius of 3 inches
Answer:
Step-by-step explanation:
To find the answer, multiply the radius by 2. Then, multiply that product by 3.14 to get the answer. You can do it! Have a great day!
Please help grade depends on it
Answer:
C
Step-by-step explanation:
17/10 is correct
Tell me the answer please. Give me a short answer and a step-by-step explanation.
Answer:
( -4 , 16 )
Step-by-step explanation:
1/2x + 18 = 5/2x + 26
-8 = 4/2x
-4 = x
so the lines cross at -4 x so, then plug that number into either equation to see what y is
y = 1/2(-4) + 18
y = 16
Natalie's aunt gave her $47 to spend on clothes at the mall. She bought 4 shirts that cost $4 each and a pair of pants that cost $13. How much money does Natalie have left to buy more clothes?
Answer:$18
Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18
Find the area of the figure. (Sides meet at right angles.)
Answer:
A=13*6 -5*3
A=78-15
A= 63
Step-by-step explanation:
Step 1- 4×3=12
Step 2- 4×3=12
Step 3- 13×3=39
Step 4- 12+12+39=63
Answer-63cm^2
Josh is driving from his house to his grandmother's house. If 1/3 gallon of gasoline will get Josh 1/9 of the way to his grandmother's, how many gallons of gasoline does Josh need for the entire trip?
Answer:
3 Gallons
Step-by-step explanation:
Answer:
3 gallons
Step-by-step explanation:
Given: 1/3 gallon needed for 1/9 of the whole trip
To find: How many gallons of gasoline Josh needs for the entire trip
Solve: Firstly, we need to find out the entire trip as a fraction
1/1
If 1/9 = 1/3, then 1/1 = 1/9 ÷ 1/3 = 0.33
No, multiply that by 1/1
1/1 × 0.33 = 0.33
Then, convert 0.33 to a whole number
Hence, Josh needs 3 gallons for the entire trip
Find the volume of the cylinder
Either enter an exact answer in terms of t or use 3.14 for t
10
4 units
Answer:
502.4 cubic unit
Step-by-step explanation:
Given data
The parameter for the cylinder is as follows
Height h= 10units
Radius r= 4 units
We know that the expression for the volume of a cylinder is
V= πr^2h
substitute
V= 3.14*4^2*10
V= 3.14*16*10
V= 502.4 cubic unit
Hence the volume is 502.4 cubic unit
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 3 cm. Find the area if shaded region. Use the value 3.14 for pie, And do not round your answer.
Answer:
0.9675sq.cm
Step-by-step explanation:
Find a related diagram attached
Area of the shaded region = Area of rectangle - area of semicircle
Area of rectangle = 3cm * 1.5cm
Area of rectangle = 4.5sq.cm
Given
diameter of the semicircle = 3cm
area = πd²/8
Area of the semicircle = 3.14(3)²/8
Area of the semicircle = 3.5325sq.cm
Area of the shaded region = 4.5 - 3.5325
Area of the shaded region = 0.9675sq.cm