Answers
Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
[tex]AB=AC[/tex] (Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,
[tex]\angle B\cong \angle C[/tex]
[tex]m\angle B\cong m\angle C[/tex]
[tex]m\angle B\cong 49^\circ[/tex]
The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.
[tex]m\angle ADB=90^\circ[/tex]
[tex]x^\circ=90^\circ[/tex]
In triangle ABD,
[tex]m\angle DAB+m\angle ABD+m\angle ADB=180^\circ[/tex] [Angle sum property]
[tex]y^\circ+49^\circ+x^\circ=180^\circ[/tex]
[tex]y^\circ+49^\circ+90^\circ=180^\circ[/tex]
[tex]y^\circ=180^\circ-49^\circ-90^\circ[/tex]
[tex]y^\circ=41^\circ[/tex]
Therefore, the correct option is B.
Related Questions
Rachel has two coupons for a bicycle.
Coupon A:
15% off of a $95 bicycle
$18 rebate on a $95 bicycle
Coupon B:
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
Х
The price with coupon A is $(less than the price with coupon B.
Coupon B gives the lower price.
The price with coupon B is $ less than the price with coupon A.
$
Answers
Answer: Coupon B gives the lower price
The price of coupon B is 3.75 dollars less than the price of coupon A.
======================================================
Explanation:
15% off means she saves 15% of the original price.
15% of 95 = 0.15*95 = 14.25
Rachel saves $14.25 if she goes with coupon A.
We can see that coupon B gives the lower price because we have more in savings (since 18 is larger than 14.25).
If she goes with option A, then she spends 95-14.25 = 80.75 dollars. If she goes with option B, then she spends 95-18 = 77 dollars. Going with option B means she saves 80.75-77 = 3.75 dollars
Or you could note that 18-14.25 = 3.75 is another way to find out how much is saved when comparing the two coupons.
=) Asif deposits $650 into a bank paying a simple interest. He leaves the money there
for 5 years. At the end of the 5 years, the amount in the bank is $763.75.
Calculate the percentage rate of interest the bank paid per year.
Answers
Answer:
interest he got per year is 22.75
Step-by-step explanation:
deposited money = 650
after 5 years = 763.75
interest he got = 763.75 - 650
= 113.75
interest he got each year = 113.75 / 5
= 22.75
I’m so lost guys lol send help
Answers
Answer:
(x−10)(x^2+10x+100)
Explanation:
I talked to my partner, you can call them "G00gle"
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Firstly , You'll have to know the formula of a³ - b³ i.e a³ - b³ = ( a - b ) ( a² + ab + b² )What's the cube root of 1000 ? - It's 10 ! How ? [tex] \sqrt[3]{1000} = \sqrt[3]{ \underline{10} \times \underline{ 1 0} \times \underline{ 10} } = \boxed{10}[/tex][tex] \large{ \tt{❁ \: LET'S\: START}} : [/tex]
[tex] \large{ \bf{ ❀ \: \ {x}^{3 } - 1000}}[/tex]
- Write the number into the exponential form with the exponent 3 :
[tex] \large{ \bf{↦ {x}^{3} - {10}^{3} }}[/tex]
- Here , Suppose ' x ' as ' a ' & ' 10 ' as ' b '. Use the formula of a³ - b³ :
[tex]↦{ \large{ \bf{(x - 10)( {x}^{2} + x \times 10 + {10}^{2} }}})[/tex]
[tex]↦ \boxed{\large{ \bf{(x - 10)( {x}^{2} + 10x + 100) }}}[/tex]
Hence , Second option is the correct choice ! ☪ Educate Yourself. Make Yourself Smart. Grades And Knowledge Do Matter. Work On Your Subjects. Fill your brain. Move Ahead And Keep On Moving Ahead! ♪ツ Hope I helped! ۵
☼ Have a wonderful day / evening ! ☃
# StayInAndExplore ! ☂
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In Texas, the distance from Austin to Brownwood is 141 miles. It is 171 miles from Brownwood to Corsicana and 157 miles from Corsicana to Austin.
Determine the angle between the routes from Brownwood. Show your work
Answers
Answer: acute angles
Step-by-step explanation:
The angle between the routes from Brownwood is Acute angle.
What is Acute angle?Acute angle is an" angle that measures less than 90 degree".
According to the question,
Distance from Austin to Brownwood is 141 miles and distance from Brownwood to Corsicana to Austin 171miles and distance from Corsicana to Austin is 157 miles.
In order to find an angle between routes from Brownwood is Acute angle.
Hence, the angle between the routes from Brownwood is Acute angle.
Learn more about Acute angle here
https://brainly.com/question/2237497
#SPJ2
The value
Pi /2
is a solution for the equation 2 sin^2 x- sin x-1=0.
O A. True
B. False
Answers
Answer:
A
Step-by-step explanation:
Check the solution by substituting x = [tex]\frac{\pi }{2}[/tex] into the left side of the equation
2sin²x - sinx - 1
= 2sin²([tex]\frac{\pi }{2}[/tex] ) - sin ([tex]\frac{\pi }{2}[/tex] ) - 1
= 2(1)² - 1 - 1
= 2 - 1 - 1
= 0
= right side
[tex]\frac{\pi }{2}[/tex] is therefore a solution to the equation
Sides of the rectangle are in the ratio 14:3. If the perimeter of the rectangle is 170cm. Find the length and breadth of the rectangle.
Answers
Answer:
length:70cm
breadth:15cm
Step-by-step explanation:
170cm÷2=85cm
85cm=14:3
14+3=17
85cm÷17=5cm
5cm×14=70cm
5cm×3=15cm
ill give brainliest.. help plss!! look at the picture.
Answers
Answer:
b°+90°=180°(sum of angle in straight line)
b°=180°-90°
b°=90°
a°=30°(vertically opposite angle)
Answer:
A: 30 degrees
B: 60 degrees
C:105 degrees
Step-by-step explanation:
A: vertical angles are congruent
B: solve for the missing angle -- 90+30+?=180
C: Use exterior angle to find the supplementary angle
Given a circle in the complex plane with a diameter that has endpoints at:
-12 − i and 18 + 15i
Find the center of the circle.
Answers
Answer:
the second part to the question is 17
Step-by-step explanation:
edge 2021 :)
have a lovely day!
Which set of three angles could represent the interior angles of a triangle?
19 degrees, 70 degrees, 91 degrees
47 degrees, 12 degrees, 31 degrees
50 degrees, 20 degrees, 20 degrees
25 degrees, 25 degrees, 100 degrees
Answers
Answer:
19 degrees, 70 degrees, 91 degrees
Step-by-step explanation:
to make an interior angle of a triangle you need to make a 180-degree triangle and 19+70+91 make 180 degrees
Answer:
19, 70, 91
Step-by-step explanation:
19 + 70 + 91 = 180. Everything else doesn't add up to 180.
Find the measure of x in each figure.
Answers
Answer:
x=130 degree
Step-by-step explanation:
because 50+x=180
=x=130
which inequality is represented by the graph
A. 7/10x-2y > or equal 5
B. 10/7x -2y< or equal 5
C. 7x+10y > or equal 5
D. 2x-7y> or equal 3
Answers
Answer:
i would be a be i solve 15 minutes
B
Need help with this………
Answers
Answer:
(-4,2)
Step-by-step explanation:
It's the coordinates that the two lines cross at.
Help what’s the answer!!!
Answers
Answer:
maybe the answer is
A.12-12HOPE IT HELPEDWhat is the same as writing that “Angles 5 and 6 are supplementary adjacent angles”?
Angles 5 and 6 are not next to each other and sum up to 180°.
Angles 5 and 6 are not next to each other and sum up to 90°.
Angles 5 and 6 are next to each other and sum up to 180°.
Angles 5 and 6 are next to each other and sum up to 90°.
Answers
Answer:
Angles 5 and 6 are next to each other and sum up to 180°.
Step-by-step explanation:
supplement means adding up to 180
Angles 5 and 6 are next to each other and sum up to 180°.
Step-by-step explanation:
supplement means adding up to 180
I need help again... please and thank you very much you are helping
Answers
Answer:
$3.15
Step-by-step explanation:
Method 1:
4 oranges = 1.40
9 oranges = x
1.40 / 4 = 0.35
This is 0.35 per orange
0.35 x 9 = 3.15
$3.15
Method 2:
1.40/4 = x/9
12.6 = 4x (cross multiply 9 and 1.4 and cross multiply 4 and x)
x = 12.6 / 4
x = 3.15
$3.15
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which of the following is a true statement based on the graph shown?
A)P > Q
B)R ≥ Q
C)R > S
D)R < Q
Answers
Answer:
B
Step-by-step explanation:
The numbers on the right are major than the numbers on the left
5x - y = -1 - -5x + 3y = 25
Answers
Answer:
x = 101/20, y = 1/4
Step-by-step explanation:
Solve the following system:
{-y + 5 x = 25 | (equation 1)
3 y + 5 x - 1 = 25 | (equation 2)
Express the system in standard form:
{5 x - y = 25 | (equation 1)
5 x + 3 y = 26 | (equation 2)
Subtract equation 1 from equation 2:
{5 x - y = 25 | (equation 1)
0 x+4 y = 1 | (equation 2)
Divide equation 2 by 4:
{5 x - y = 25 | (equation 1)
0 x+y = 1/4 | (equation 2)
Add equation 2 to equation 1:
{5 x+0 y = 101/4 | (equation 1)
0 x+y = 1/4 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 101/20 | (equation 1)
0 x+y = 1/4 | (equation 2)
Collect results:
Answer: {x = 101/20, y = 1/4
Two runners are participating on a 720-metre circular track. They run in opposite directions, each at a constant speed. The first runner needs four minutes to complete the full loop and the second runner needs five minutes. How many metres does the second runner travel between two consecutive meetings of the two runners?
Answers
Happy Pride Month!
Answer:
320m
Step-by-step explanation:
let the two runners be A and B
with Va and Vb as their velocities
velocity=distance/time
Va=720/4*60
=3m/s
Vb=720/5*60
=2.4m/s
Let the 2 runners start from a common position X and meet at Y
so the 2 consecutive meetings happen at X and Y
so we have to find time of meeting at Y as we know that of X (which is t=0)
720=Va*t+Vb*t
t(5.4)=720
t=133.33 or t=720/5.4
therefore distance travelled by B =Vb*t
=2.4*720/5.4
=319.99m
=320m
The ratio of boys who play soccer, hockey and
rugby at a high school is 6:4:5 respectively.
If there are 72 boys playing hockey, how many
boys are there altogether at this high school?
Answers
Answer:
270
Step-by-step explanation:
72 ÷ 4 = 18
6 + 5 = 11
18 × 11 = 198
198 + 72 = 270
The sum of the measures of the interior angles of a
convex quadrilateral is
a. 180°
b. 270°
c. 540°
d. 360°
Answers
Answer:
d. 360°
Hope this help!
Which number could not be a value of x?
Answers
Answer:
21
Step-by-step explanation:
The values for the third side of a triangle must be greater than the difference of the two other sides and less than the sum of the two other sides
12 -8 < x < 12+8
4 < x < 20
The third side cannot be 21
Answer:
21
Step-by-step explanation:
The sum of two sides of a triangle must be greater than the third side
There are 16 girls and 18 boys in a class. The teacher chooses a student's name at random to answer a question.
What is the probability that the teacher chooses a girl to answer the question?
ОА. и
O B. 1 /
8
17
OD
Answers
Answer:
8/17
Step-by-step explanation:
total students = 34
no of girls = 16
no of boys = 18
probability to choose a girl to answer the question = no of girls/total students
=16/34
=8/17
How many times would the cricket mostly likely chirp per minute if the temperature outside were 76^{\circ} ∘ F?
Answers
Answer:
834 chirps
Step-by-step explanation:
Given the data:
Chirps in 1 min Temperature (°F)
781 74
1039 85.9
1156 87.2
1218 87.8
1131 91.4
888 75.5
Using technology, the regression model obtained will be in the form :
y = bx + c
b = slope ; c = intercept
y = temperature ; x = chirps per minute
The regression model is :
ŷ= 43.28 + 0.0390x
If outside temperature, y = 76 ; x will be ;
76 = 43.28 + 0.0390x
76 - 43.28 = 0.0390x
32.72 = 0.0390x
x = 32.72 / 0.0390
x = 838.97435
x = 834 chirps per minute
A sequence is defined recursively by the formula f(n + 1) = –2f(n). The first term of the sequence is –1.5. What is the next term in the sequence?
–3.5
–3
0.5
3
Answers
Answer:
The answer is 3
Step-by-step explanation:
It's just wisdom I mean think about it it
1.5 then 3
⭐ Initially, we have to find the reason why it was -1.5:
[tex]\large {\text {$ \sf f (n+1) = -2 f(n) $}}[/tex]
➡️ Having n, then we'll find the value of n, then we'll replace it with the found result.
[tex]\large {\text {$ \sf f (x+1) = -2.x = -1,5 $}}[/tex]
⌛ So, we will have to find what x is worth in this case:
[tex]\large {\text {$ \sf f ( 0,75 +1 ) = -2 \cdot 0,75 $}}[/tex]
[tex]\large {\text {$ \sf f ( 0,75) = -1,5 $}}[/tex]
→ Knowing this...
[tex]\large {\text {$ \sf f ( 1,5 + 1 ) = -2 \cdot 1,5 $}}[/tex]
[tex]\large {\boxed {\boxed {\sf f ( 2,5 ) = -3 }}}[/tex] [tex]\checkmark[/tex]
_____________________________
Which algebraic expression would NOT be equivalent if the number and the variable were reversed? A. N+8 B. M−5 C. K×8 D. 4+x
Answers
Answer:
B) M-5
Step-by-step explanation:
the commutative property does not apply to subtraction or division, only addition and multiplication
SOMEONE HELP ME PLEASE!
Answers
Step-by-step explanation:
please see the attachment
There's a piece of a pyramid is a rectangle with a width of 4.6 cm and the length of the 9 cm. What is the height in centimeters of the pyramid if it's volume is 82.8 cm^3
Answers
Answer:
6cm
Step-by-step explanation:
Given data
Width= 4.6cm
Length= 9cm
Volume= 82.8cm^3
The expression for the volume is given as
V= lwh/3
82.8= 9*4.6*h/3
cross multiply
82.8*3= 9*4.6*h
248.4= 41.4h
h= 248.4/41.4
h= 6cm
3. Timmy is 3 feet 4 inches tall. There are 2 54 centimeters in 1 inch. What is Timmy's height in
centimeters?
a 30.48 cm
b. 101.6 cm
C 9.54 cm
d. 42.54 cm
Answers
How does the graph of y = 3^xcompare to the graph of y = 3^-x?
A. The graphs are the same.
B.The graphs are reflected across the x-axis.
C. The graphs are reflected across the y-axis.
Answers
Answer:
C
Step-by-step explanation:
The graphs are reflected across the y-axis.
The arc corresponding to a central angle of 35° in a circle of radius 10 feet messures___feet. Round your answer to two decimal places.
Answers
Answer:
6.11 ft
Step-by-step explanation:
s = (∅/360) * 2πr
s = (35/360) * 2π(10)
s = 6.108652382
Rounded
s = 6.11 ft