Answers
Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is isosceles, which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!
Related Questions
helllllllllllppppppppppppppppppppp
Answers
hope you pass your quiz!
Question 19 is already answered I really only need question 20 answered :))
Answers
Answer:
110
Step-by-step explanation:
I would put 7c and 9t because c would mean you're putting car down for both numbers on the first question...
7c + 9t
7(8) + 9(6)
56 + 54
110
Find two integers whose sum is -18 and product is 77
Answers
Answer:
-11 and -7
Step-by-step explanation:
Answer:
-11 and -7
Step-by-step explanation:
-11 + (-7) = -18
-11 x -7 = 77
Ariana made cookies. She used 3 7/8 cups of flour and 2 1/8 cups of sugar. How much more flour than sugar did Ariana use?
Answers
Answer:
1 6/8 cups of flour
Step-by-step explanation:
Just subtract 2 1/8 from 3 7/8
A man's income is increased in the ratio 47:40.find the increase percentage
Answers
Answer:
14.8%
Step-by-step explanation:
Given data
Initial income=47
Final income=40
The change= 47-40
=7
Hence the percent increase is
% increase= Change/ initial*100
% increase= 7/47*100
% increase=0.148*100
% increase=14.8%
6. The area of a circle is 36pi cm squared. Find its circumference.
Answers
Answer:
AREA=PI*6*6 THUS THE RADIUS IS 6 CM. C=37.68 CM.
Step-by-step explanation:
An employee ID- number for a company consists of 5 characters. The first character cannot be zero. The next two characters are letters, where the letters “O” and “X” cannot be used. The remaining two characters are numbers without restriction, except that they cannot repeat.
Answers
convert to standard form of the equation into the slope intercept form -3x-5y=-15
Answers
We will first add 3x to both sides to get
-5y = 3x - 15
We will then divide both sides by -5 to get y by itself which becomes
y = -3/5x + 3
10. Which set of ordered pairs is linear?
A. {(2, 1), (5, 1), (6, 1)}
8. {(1, 4), (0, 0), (1, 6)}
C:{(3,5), (1, 0), (2, 4)}
D.
{(0, 0), (1, 3), (2, 7)}
Answers
Answer:
A
Step-by-step explanation:
The line stays straight because of the y placement being 1
Answer:
{(2, 1), (5, 1), (6, 1)}
Step-by-step explanation:
A linear function shows as a straight line.
Option A's y-values are the same. If graphed, it would form a horizontal line.
See graph below.
Option A should be the correct answer.
Hope this helps.
Directions: For a spinning amusement park ride, the velocity v in meters per second of a car moving around a curve with a radius r meters is given by the formula v= √ar, where a is the car’s acceleration in m/s2.
1. For safety reasons, a ride has a minimum acceleration of 39.2 m/s2. If the cars on the ride have a velocity of 14 m/s what is the smallest radius that any curve on the ride may have?
2. What is the acceleration of a car moving at 8m/s around a curve with a radius of 2.5m?
Answers
Answer:
1. r = 5 m 2. a = 25.6 m/s²
Step-by-step explanation:
The relation between the velocity, the radius of path and the acceleration on the circular path is given by :
[tex]a=\dfrac{v^2}{r}[/tex]
1. Acceleration, a = 39.2 m/s²
Velocity of the car, v = 14 m/s
The radius of the path can be calculated using the above formula i.e.
[tex]r=\dfrac{v^2}{a}\\\\r=\dfrac{(14)^2}{39.2}\\\\r=5\ m[/tex]
2. Velocity of the car, v = 8 m/s
The radius of the path, r = 2.5 m
The acceleration of the car is given by :
[tex]a=\dfrac{8^2}{2.5}\\\\a=25.6\ m/s^2[/tex]
Hence, this is the required solution.
algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in picture
Answers
Answer:
13x^2+2x+5
Step-by-step explanation:
that is the right answer
You have to combine the like terms.
Answer:
[tex]40x^{4}[/tex] - [tex]9x^{3}[/tex] + [tex]46x^{2}[/tex] + 6x + 16
Step-by-step explanation:
Distribute (2m-5m)(-5)
Answers
First Method (Distributive Property)
(2m - 5m) (-5)
Rearrange the equation to make it easier.
(-5) (2m - 5m)
In distributive property, it's all about multiplying. The -5 goes to the 2m and the 5m. Like this: (-5 • 2m) - (-5 • 5m).
-10m + 25m
15m
Second Method
(2m - 5m) (-5)
Since 2m and 5m have the same variable, we can subtract them.
(-3m) (-5)
Multiply.
15m
15m is your answer. I hope this helps!
Fill in the missing spot with the correct fraction.
Answers
Answer:
a. [tex]\frac{5}{18}[/tex] b. [tex]\frac{1}{24}[/tex]
Step-by-step explanation:
What is the equation in slope intercept form of the line that has a slope of 0.25 and passes through the point (6, - 8)
Answers
Answer:
y = 0.25x - 9.5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 0.25 , then
y = 0.25x + c ← is the partial equation
To find c substitute (6, - 8) into the partial equation
- 8 = 1.5 + c ⇒ c = - 8 - 1.5 = - 9.5
y = 0.25x - 9.5 ← equation of line
Answer:
y = 0.25x - 9.5Step-by-step explanation:
The equation in point-slope form:
y = 0.25(x - 6) - 8
y = 0.25x - 1.5 - 8
y = 0.25x - 9.5 ← slope-intercept form
−|−37| = 37 true or false
Answers
Answer:
false
Step-by-step explanation:
The value of |−37| is 37
however, since the negative sign is in front of the absolute value,
−|−37| = -37
Therefore,
−|−37| does not equal 37
The given statement −|−37| = 37 is false.
Given that, −|−37| = 37.
We need to whether the given statement is true or false.
What is an absolute value?The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.
Now, |−37|=37
So, -|−37|=-37
Therefore, the given statement is false.
To learn more about an absolute value visit:
https://brainly.com/question/1301718.
#SPJ2
What is the product of (3x - 4) and (3x - 4)
Answers
Answer:
[tex] {9x}^{2} - 24x + 6[/tex]
Step-by-step explanation:
i explain in the photo :D
7 1/7-3 2/7 not as a improper fraction
Answers
Answer:
6 6/7
Step-by-step explanation:
Hope this helps:)
please help i put 30 points
Answers
Answer:
A
Step-by-step explanation:
The root 5's cancel each other out.
4x-2x = 2x
Therefore
2x/3 is the final answer
A scientist is studying bacteria in a dish and discovered they grow and can 3 be tracked using the formula: 5*(1.50)^x +10, where x represents every hour. How many bacteria will there be after 9 hours? (Round Your Answer To The Nearest Whole Number)
A) 38
B) 48
C) 192
D) 202
Answers
Answer:
D
Step-by-step explanation:
if x= number of hours replace the x by 9
so you have 5×(1.50)^9+10=
5×(192.21)+10 = 202.21 so 202 will be nearest whole number
Steps:
Formula 5*(1.50)^x + 10
1. Plug in 9 for x
5*(1.50)^9 +10
2. Solve exponents (38.443359375) and round to nearest hundredth
5*38.44+10
3. Multiply
192.2 +10
4. Add
202.2
5. Round to nearest whole number
202
The volume of a cereal box is 264 in3 . If it has a width equal to 3 inches and length of 8 inches, what is the height?
Answers
Answer:
11 inches
Step-by-step explanation:
Volume of a box is:
[tex]l * w * h[/tex]
[tex]8 * 3 * h = 264\\\\24*h=264\\\\\frac{24*h=264}{24} \\\\\boxed{h=11}[/tex]
The height is 11 inches.
Hope this helps.
Volume of the box = LWH.
Let V = 264
264 = (8)(3)(H)
264 = 24H
264 ÷ 24 = H
11 = H
The height of the box is 11 inches.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
2.7°
-7.3°
5.4°
15.4°
Answers
9514 1404 393
Answer:
(c) 5.4°
Step-by-step explanation:
We can simply determine the difference between the angles of the vectors:
arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°
The angle between the vectors is about 5.4°.
__
Alternate solutions
1) We could also determine the angle of their ratio.
u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i
angle = arctan(0.1/1.05) = 5.440°
__
2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))
tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))
= (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2
∠u -∠v = arctan(2/21) = 5.440°
Which of the following functions has a rate of change that stays the same? (1 point)
O y = x2 - 5x -14
O y = 19x - 10
O y = 5*
O y = 0.03x² + 11x + 1
Answers
this is the answer y=19x-10
Find the surface area of the cube show below
2/3
Answers
Answer:
Step-by-step explanation:
there are 6 sides on a cube
surface area = 6 times the area of one face of the cube
= 6 times ( a side times another side) note all sides are equal
= 6(side)² is a side equal to 2/3 ?? if it is ....
= 6(2/3)²
= 6(2/3)(2/3) one of the 3s divide into 6 twice
= 2(2)(2/3)
= 2³ / 3
= 2x2x2 / 3
= 8 /3
= 2 and 2/3 units²
I can't figure this out! I know it’s either A or C but pls help ASAP!!
Answers
Answer:
it would be A.
Step-by-step explanation:
A floor 3.2m long and 2.8 m wide is to be covered with square shaped tiles of length 10cm. Find the coast of flooring if the coast tiles is Rs 150 per 100 tile.
Answers
Answer:
1344
Step-by-step explanation:
100cm = 1 m
Convert the dimensions of the floor to cm = Area of a rectangle = length x breadth = 320 x 280 = 89,600m²
Area of a square = length² = 10cm² = 100cm²
Number of tiles that would be needed = area of floor / area of square
89,600cm² / 100cm² = 896
Cost of one tile = rs 150 / 100 = 1.5
Cost of 896 tiles = 1.5 x 896 = 1344
Determine the type of triangle that is drawn below.
Answers
Answer:
Step-by-step explanation:
Since each angle is different it is scalene. Since all angles are less than 90 degrees it is acute.
So this is a Scalene Acute triangle.
Answer: Scalene Acute
Step-by-step explanation:
An acute triangle has all three angles less than 90 and a scalene triangle has no equal sides.
What is this? -1 - ( -8 )
Answers
Answer:
Since you are subtracting a negative, you must add instead. -1+8 = 7.
Answer:
7
Step-by-step explanation:
-1--8 or -1+8
-1+8
7
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
cellus
Solve for x.
x = [?]
2x + 1 4x - 19
Enter
Answers
Answer:
2x+1+4x-19=180, 6x-18=180, 6x=198, x=33
please help this has bean troubling me for the past 2 hours.
find NM
Answers
Answer:
NM = 15
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
The square of the measure of the tangent is equal to the product of the secant's external part and the entire secant, that is
(x + 3)² = (x - 3)(x - 3 + 16)
(x + 3)² = (x - 3)(x + 13) ← expand both sides using FOIL
x² + 6x + 9 = x² + 10x - 39 ( subtract x² + 10x from both sides )
- 4x + 9 = - 39 ( subtract 9 from both sides )
- 4x = - 48 ( divide both sides by - 4 )
x = 12
Then
NM = x + 3 = 12 + 3 = 15
Please help me solve this problem please?!
Answers
Answer:
x=4 y=6
Step-by-step explanation:
because they passing through the line and cut
hope it helps