Answers
Answer:
25°
Step-by-step explanation:
from the triangle on the left, angles BAD and BDA are equal
angles in a triangle add up to 180°
so 180 - 80 = 100 /2 = 50°
now the straight line ADC angle is 180°
so 180° - 50° = 130 ° for angle BDC
the angle for x is the same as angle DBC
for the triangle on the right angles must add up to 180°
180 - 130 = 2x
50 = 2x
25° =x
Answer:
50
Step-by-step explanation:
let a,b
a=b being base angles.of isoceles triangle
80+a+b=180 sum of angles of triangle
80+a+a=180
2a=100
a=50
80+a+x=180 being sum of angles of triangle
50+a=100
x=50
Related Questions
The image of F(-5,-9) after translating along <4, 6 > and then translating along < 3, 5> is? F’(?,?)
Answers
==============================================
Explanation:
The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"
In general, "translated along <m,n>" is the same as writing [tex](x,y) \to (x+m, y+n)[/tex]. If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.
-------------
With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.
We can say
[tex](x,y) \to (x+4,y+6)\\\\(-5,-9) \to (-5+4,-9+6)\\\\(-5,-9) \to (-1,-3)\\\\[/tex]
Showing that (-5,-9) moves to (-1,-3)
This is after the first translation, but there's a second translation.
We'll apply the same idea, but different numbers this time
[tex](x,y) \to (x+3,y+5)\\\\(-1,-3) \to (-1+3,-3+5)\\\\(-1,-3) \to (2,2)\\\\[/tex]
So (-1,-3) moves to (2,2)
Overall we have
(-5,-9) move to (-1,-3) after the first translation(-1,-3) move to (2,2) after the second translationTherefore, the original point ends up at (2,2) which is the final answer
--------------
Extra info:
A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.
A construction company is analyzing which of its older projects need renovation. Building B was built two years before building C. Building D was built two years before building B. The product of the building B’s age and building D’s age is at least 195. If x represents the age of building C, which inequality represents this situation?
Answers
Answer:
x²+6x +8 ≥ 195
Step-by-step explanation:
The age of C is represented by c= x .
Building B was built two years before building C.
Age of Building B b = x+ 2
Building D was built two years before building B
Age of Building d= x+4
The product of the building B’s age and building D’s age is at least 195.
b*d ≥ 195
≥ means product is greater than or equal to 195 at least 195
Putting the values of b and d
(x+ 2) (x+4) ≥ 195
It can be further solved
x²+6x +8 ≥ 195
Answer:
x^2+6x+8>195
Step-by-step explanation:
tell me the answer to 5/15+67/30=
Answers
Answer: 77/30
Step-by-step explanation:
Hope this helps :)
The sum of 12 and twice Chrissy's savings
Answers
write the equation -×+3y=6 in slope intercept form.
Answers
Answer:
y=1/3x + 2
Step-by-step explanation:
Since slope intercept form is y=, I first added x to each side to get x on the other side. Then I divided each side by 3 to get y, and ended up with y=1/3x+2 as my answer.
(hope this helps)
=
1
3
x
−
2
Explanation:
Given:
x
−
3
y
=
6
Put in slope-intercept form
y
=
m
x
+
b
:
Add
3
y
to both sides of the equation to make it positive:
x
−
3
y
+
3
y
=
6
+
3
y
x
=
6
+
3
y
Subtract
6
from both sides of the equation:
x
−
6
=
6
−
6
+
3
y
x
−
6
=
3
y
Divide both sides of the equation by
3
:
x
3
−
6
3
=
3
y
3
1
3
x
−
2
=
y
So
y
=
1
3
x
−
2
PLSSS HELPPP PLEASEEEEEEEEE
Answers
Answer:
1. -21
ill do others in a bit
okay so plz answer this question step by step,, thank you
Answers
Given:
Total number of students = 20
The marks of the students are 40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37 and 40.
To find:
The frequency distribution table with class size 10.
Solution:
We have, the marks of 20 students.
40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37, 40
Here,
Minimum value = 12
Maximum value = 48
We nee class intervals of size 10. So, the required class intervals are 10-20, 20-30, 30-40, 40-50. In these intervals, lower limit is excluded but the upper limit included.
The required frequency distribution table is
Class intervals Marks Frequency
10-20 12, 15 2
20-30 22, 27, 20, 25 4
30-40 36, 30, 31, 34, 36, 39, 36, 37 8
40-50 40, 41, 43, 48, 46, 40 6
Total 20
Therefore, the frequency distribution table is
Class intervals: 10-20 20-30 30-40 40-50 Total
Frequency : 2 4 8 6 20
The data set shows the ages of members in a book club.
What is the club's median age?
38
45
26
26
50
23
63
35
Answers
Answer:
36.5
Step-by-step explanation:
To find the median, list the ages in order from smallest to largest
23, 26 , 26, 35, 38 , 45, 50 ,63
Then find the middle
23, 26 , 26, 35, 38 , 45, 50 ,63
It is halfway between 35 and 38
(35+38)/2 = 36.5
The median is 36.5
Jenny's family is having pizza for supper. There are six people in Jenny's family. Jenny's mother has asked her to cut the pizza into six pieces. Type a fraction describing the amount of pizza that each person in the family will receive.
/
Answers
Answer:
1/6
Step-by-step explanation:
1 peice of pizza for each person with a total of 6 peices
use the quadratic formula to solve 2x^2 -1 = 7x, and then verify your answer by graphing
Answers
Answer:
7+- root 57 / 4
d. 7+root 57/4 , 7-root 57/4 on edg
Step-by-step explanation:
got it right :)
Answer:
D
Step-by-step explanation:
Edge 2021
evaluate the expression when y=-4 y^2+5y+1
Answers
Step-by-step explanation:
❀ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
y = -4❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of y² + 5y + 1❀ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
~Plug the value of y at first :
➾ [tex] \sf{ {-4}^{2} + 5 \times (-4 )+ 1}[/tex]
~ Evaluate the power : 4²
➾ [tex] \sf{16 + 5 \times (-4 )+ 1}[/tex]
Follow the BODMAS { Bracket , Of , Division , Multiplication , Addition and Subtraction } rule :
~Multiply -5 and 4
➾ [tex] \sf{16 + (-20)+ 1}[/tex]
~ Multiply the signs : ( + ) and ( - ) :
➾ [tex] \sf{16 - 20 + 1}[/tex]
~Add the numbers : 16 and 1
➾ [tex] \sf{17-20}[/tex]
~ Subtract 20 from 17
➾ [tex] \sf{-3}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : -3}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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What is the best measure of center for this data set?
{101, 2, 108, 104, 102, 107, 109, 102}
A) mean because there is an outlier
B) mean or median because there is no outlier
C) median because there is an outlier
D) mode because there is an outlier
Answers
Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.
16x0 + 2x2 • y –1
Answers
Given that,
The given expression is : [tex]16x^0+2x^2{\cdot}y^{-1}[/tex]
To find,
The value of the above expression when x = 2 and y = 4
Solution,
We have,
[tex]16x^0+2x^2{\cdot}y^{-1}[/tex]
Put x = 2 and y = 4 in the above expression.
[tex]16x^0+2x^2{\cdot}y^{-1}\\\\=16\times (2)^0+2(2)^2\times (4)^{-1}\\\\=16\times 1+2(2)^2\times\dfrac{1}{4}\\\\=16+2\\\\=18[/tex]
So, the value of the above expression is 18.
What is an aquifer?
Why is gravity part of the water cycle ?
Answers
Answer:
An aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials. It pulls precipitation down from clouds and pulls water downhill. Gravity also moves air and ocean water. Gravity pulls denser air and water downward, forcing less dense air and water to move upward.
Step-by-step explanation:
Find the volume of the cone.
Answers
Answer:
Step-by-step explanation:
volume=1/3 πr²h
=1/3×π×3²×4
=12π ft³
≈37.70 ft³
Here we have to calculate the volume of the cone which is provided in the figure.
As we know that volume of cone is calculated by the formula :
[tex]\orange{\boxed{\bf{V \: = \: \frac{1}{3} \: \pi \:r {}^{2}h }}} [/tex]Here,
r is radius h is height Value of π is 22/7We have :
Radius (r) is 3 ft. Height (h) is 4 ft.Putting the values in the formula :
[tex]\longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \pi \:r {}^{2}h } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(3) {}^{2}(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(3 \times 3)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(9)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \: \times 9(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \: \times 9 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{ \cancel3} \: \times \dfrac{22}{7} \: \times \cancel9 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{1} \: \times \dfrac{22}{7} \: \times 3 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{22}{7} \: \times 3 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{22 \times 3 \times 4}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{66 \times 4}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{264}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \cancel\dfrac{264}{7} } \\ \\ \longrightarrow \: \underline{\underline{\red{\bf{V \: = \: 37.7 }}}}[/tex]
Help me in please anyone
Answers
Answer:
Y=3/7x+8 and y=-7/3x-34/3(11 1/3)
Step-by-step explanation:
for the perpendicular line, the slope is the opposite inverse (3/7) and since 3/7×-7=-3, -3+8=5, hence, y=3/7x+8.
for the parallel line the slope is the same, and since -7/3×-7=49/3,
and 49/3-15/3(5)=34/3, the equation is y=-7/3-34/3
3n2 + 13n+4= 0
Solve equation by factoring
Answers
Answer:
n = -4, -1/3.
Step-by-step explanation:
3n^2 + 13n+4= 0
3n^2 + 12n + n + 4 = 0
3n(n + 4) + 1(n + 4) = 0
(3n + 1)(n + 4) = 0
n = -4, -1/3.
What perfect square that is between 1 and 100 has 27 as one of its factors?
Answers
Answer:
81
Step-by-step explanation:
Its a perfect square and 27*3=81
What is the value of x in simplest radical form?
X=
Answers
Answer:
Step-by-step explanation:
in this triangle
X^2=a^2+b^2
X^2=15^2+8^2
x^2=225+64
x^2=289
x=17
Answer:
X is always equal to 1 no matter the equation. In this it looks like you are using Pyth. Theory. If its not sorry, but X = 1
Step-by-step explanation:
[tex]A^{2} +B^{2}=C^{2} \\15^{2}+8^{2} \\225+64\\C^{2}=289\\\sqrt289\\C=17[/tex]
Find the volume of the prism
Answers
Answer:
D
Step-by-step explanation:
volume=1/2 ×6×8×7=168 units³
what is the common difference for the arithmetic sequence 4.7,6,7.3,8.6,9.9
Answers
Answer: 1.3
Step-by-step explanation:
If u subtract 6-4.7 u will get 1.3 and you can also do it for all and u will still get the same answer
(-8 ) – (- 8 ) =. *
1 point
A. 16
B. -16
C. -8
D. 0
Answers
Answer:
D
Step-by-step explanation:
(-8) - (-8) = (-8) + 8 = 0
I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!
10x + 3 when x=5
Is it 18 553 53 or 23
Answers
Answer:
The answer is 53, C.
Step-by-step explanation:
10 * 5 + 3
50 + 3
53
10(5)+3 = 53
36 in.
12 in
10 in.
Х
Answers
Pls anserw I give point part two :D
Answers
Answer:
The picture is to blurry to read
Step-by-step explanation:
Q4
25 points
10. Kyra wants to make the area of her
rectangular closet 9 times larger than the size
it currently is. What scale factor should she
use to dilate the dimensions of the closet?
0. Scalefactor of a
b. Scale factor of 6
C. Scale factor of 12
d. Scale factor of 3
Answers
Answer:
The answer would be Scale factor of 3
find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon round of the nearest tenth if necessary
16
24
30
14
22
40
Answers
Answer:
Int 2520, Ext 360
Int 3960, Ext 360
Int 5040, Ext 360
Int 2160, Ext 360
Int 3600, Ext 360
Int 6840, Ext 360
Step-by-step explanation:
Interior angles of a polygon = (sides - 2) × 180
Exterior angles are always 360
Please Mark as Brainliest if you found it helpful!
The measures of an exterior angle are 2520°, and an interior angle is 360° in the given regular polygon with 16 sides.
What is the interior Angle?An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.
Interior angles of a polygon = (sides - 2) × 180°
To determine the measures of an exterior angle and an interior angle given a regular polygon with 16 sides.
Interior angles of a polygon = (sides - 2) × 180°
In this case, the number of sides is 16
Interior angles of a polygon = (16 - 2) × 180
Interior angles of a polygon = (14) × 180
Interior angles of a polygon = 2520
And, Exterior angles are always 360° in the regular polygon.
Similarly, the other regular polygons :
A regular polygon with 24 sides: Int 3960, Ext 360
A regular polygon with 30 sides: Int 5040, Ext 360
A regular polygon with 14 sides: Int 2160, Ext 360
A regular polygon with 22 sides: Int 3600, Ext 360
A regular polygon with 40 sides: Int 6840, Ext 360
Learn more about the exterior angles here :
https://brainly.com/question/28835566
#SPJ2
Evaluate (fg)(x) if f(x) = x2 and g(x) = 3x + 14 when x = -5
Answers
Answer:
f*g(x) = -25
Step-by-step explanation:
f*g(x) = f(x) * g(x) = x² * (3x + 14)
f*g(x) = (-5)² * (3*-5 +14) = 25 * (-1) = -25
PLEASE HELP OMG I WILL DO ANYTHING
Answers
Answer:
86.6
Step-by-step explanation:
Need help :) with this question
Answers
Answer:
D
Step-by-step explanation:
Leave everything the same except you add -5 and 2 =-3