Answers
Answer:
The measure of the angle ∠ABC is 108°
Step-by-step explanation:
An isosceles triangle has two equal sides and two equal angles
In this problem
∠BDA=∠BAD= 66° ----> the angles of the base are equals
Find the measure of the vertex angle
∠ABD = 180° - 2×66° = 48° (the sum of the internal angles of a triangle is equal to 180°)
then. Find the measure of the angle ∠CBD in the equilateral triangle we know that
The measure of the internal angle in a equilateral triangle is 60° so
∠CBD= 60°
Then find the measure of the angle ∠ABC
∠ABC=∠ABD+∠DBC
substitute the values
∠ABC= 48°+60° = 108°
The answer is 108°
The measure of the angle ∠ABC is 108°
Answer:
108 degrees
Step-by-step explanation:
Hi there!
1. Determine the measure of angle DBC
2. Determine the measure of angle ABD
3. Add them to determine the measure of angle ABC
We're given that triangle ABD is isosceles and triangle BCD is equilateral.
Because BCD is an equilateral triangle, all of its interior angles at 60 degrees.
Therefore, the measure of angle DBC is 60 degrees.
Triangle ABD is isosceles, so therefore, angle ADB is also 66 degrees.
The sum of the interior angles of a triangle is 180 degrees. Therefore, the measure of angle ABD is 180-66-66, which is 48 degrees.
To find ABC, add 60 and 48:
60+48 = 108
Therefore, angle ABC measures 108 degrees.
I hope this helps!
Related Questions
simply the following expression
Answers
Answer:
[tex] \dfrac{4r^6}{st^8} [/tex]
Step-by-step explanation:
[tex] (4r^{-2}st^4)(r^{-4}st^6)^{-2} = [/tex]
Use laws of exponents to simplify the right set of parentheses.
[tex]= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})[/tex]
Now use the law of exponents for a product of powers with the same base.
[tex] = 4r^6s^{-1}t^{-8} [/tex]
Finally, use the definition of a negative exponent.
[tex] = \dfrac{4r^6}{st^8} [/tex]
Explain how you can mentally determine that 35000 divided by 70 is 500
Answers
Thus, ignoring the zeroes, we can see that 35000 / 7 would be 5000. Then, divide it by 10 to get 500.
pls mark me as brainliest!
Find the length of the third side. If necessary, round your the nearest tenth.
Answers
Answer:
24
Step-by-step explanation:
Use Pythagorean theorem,
base² + altitude² = hypotenuse²
7² + altitude² = 25²
altitude² = 25² - 7²
= 625 - 49
= 576
altitude = √576
altitude = 24
_________
[tex] \: [/tex]
b² = c² - a²
b² = 25² - 7²
b² = 625 - 49
b² = 576
b = √576
b = 24
At Sally's market the ratio of apples to oranges is 4 to 7. If there are 28 oranges at her market
then how many apples are there?
Answers
Answer:
16 apples
Step-by-step explanation:
If the original ratio is 4:7.
Then we multiply both numbers by 4. Since 7 x 4 is 28.
So now you have (4x4):(7x4)
Your final ratio is 16 apples : 28 oranges
In a batch of 8000 clock radios 5% are defective. A sample of 13 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected
Answers
Answer:
Step-by-step explanation:
P(A)=1−P(not A)
We can use this here. Event A is that the clock is defective, so Event (not A) means the clock works.
0.02=1−P(not A)
P(not A)=0.98
Therefore, for all the clocks to pass, the probability is P(not A)11.
Now again, we can use complementary counting.
(probability of all clocks failing) = 1 - (probability of all clocks passing)
Probability of all clocks failing = 1−P(not A)11
The sixth-grade classes have 28, 20, 30, and 25 students. What is the mean number of students in a class?
Answers
Answer:
25.75
Step-by-step explanation:
mean=sum of all numbers/number of numbers given
we have 4 numbers given 28,20,30 and 25
mean=28+20+30+25/4
mean=103/4
mean=25.75 :)
Can someone explain this to me
Answers
Angle ADB is a right angle --- Given
Angle ADB is 90 degrees --- Definition of a Right Angle
Angle CDB is 90 degrees --- Definition of Supplementary Angles
Angle ADB = Angle CDB --- Definition of Congruent Angles
Proofs can be tricky! What helps me is thinking through them step by step and how I would prove I did something. While I'm not entirely sure what options you have for this proof, I've given my best guess.
Hope this helps!! :)
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6.
Answers
Answer:
The answer would be negative 8 because -8 + 5 = -3 and -3 x -2 = 6
Step-by-step explanation:
The answer would be negative 8 because -8 + 5 = -3 and -3 x -2 = 6
Please help me with this!
Answers
Answer:
2×2+3=7
6×2+3=15
output=input×2+3
Can someone explain how the following Matrix can be multiplied? I thought the column of the first matrix had to match the row of the second and the row of the first had to match the column of the second. I how the matrices listed below as (1x3) and (3x3) respectively. Yet my online Pre-cal course says it's possible. Please explain why this is so.
Answers
You are correct in thinking that the columns of the first matrix must match with the rows of the second matrix.
So for example, we can multiply a 1 x 5 matrix with a 5 x 7 matrix. The two matching '5's are directly what make multiplication possible in this case. For your problem, the first two '3's match and multiplication is possible.
The rows of the first matrix don't need to match with the columns of the second matrix.
Question:What is the equations of this function?
Plz help will give brainiest
Answers
please help with these question, giving brainliest :)
Answers
Answer:
Step-by-step explanation:
need help!! I would give you brainliest if it is correct <3
Answers
Answer: No
Step-by-step explanation:
What number is 15.26 more than the difference of 346.18 and 215.37?
Answers
Answer:
146.07
Step-by-step explanation:
Let's take this question one step at a time. First, we'll find the difference of 346.18 and 215.37. This is equivalent to 130.81. Then, we have to find the number that's 15.26 more than 130.81, and this is equivalent to 146.07. So, our final answer is 146.07.
If you have any further questions, let me know!
Write an equation of the parabola in vertex form. (-2, 6) (-1, 3)
An equation of the parabola is y=
Answers
The equation of the parabola is y = -3(x + 2)^2 + 6
How to determine the parabola equation?From the graph, we have:
Vertex, (h,k) = (-2,6)Point (x,y) = (-1,3)A parabola is represented as:
y = a(x - h)^2 + k
Substitute (h,k) = (-2,6)
y = a(x + 2)^2 + 6
Substitute (x,y) = (-1,3)
3 = a(-1 + 2)^2 + 6
Evaluate
3 = a + 6
Subtract 6 from both sides
a = -3
Substitute a = -3 in y = a(x + 2)^2 + 6
y = -3(x + 2)^2 + 6
Hence, the equation of the parabola is y = -3(x + 2)^2 + 6
Read more about parabola at:
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A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, “$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!” What do you think?
Answers
Kyle, Meg & Dan share some money in
the ratio 3:2:7
What fraction of the money does Meg get?
Answers
Answer: 1/5 of the money
Step-by-step explanation:
The ratio shows that Kyle gets 3 parts of the money, Meg gets 2 parts of the money, and Dan gets 7 parts of the money. Simple addition lets us know there are 10 parts of the money, and because Meg got 2 of them, she has 2/10ths of the money, or 1/5.
Hope it helps :) and let me know if you want me to elaborate.
7 find the missing length
Answers
Answer:
8km
Step-by-step explanation:
it is 8km because it is not that much bigger than 6km
Answer:
C) 8 km
Step-by-step explanation:
x is another leg next to 6.
10 is the hypotenuse.
a^2 + b^2 = c^2
a & b are legs and c is the hypotenuse.
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 100 - 36
x^2 = 64
√x^2 = √64
x = 8
P.S It may look just slightly different, but your teacher or the program did not make it up to scale.
Hope This Helps! •v•
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Question 3 options:
AB=RS
AB=2RS
ΔABC~ΔRST
△ABC≅ΔRST
m∠BAC=m∠SRT
m∠BAC=2m∠SRT
Answers
The given reflection transformation is a rigid transformation, such that the dimensions are preserved
The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;
AB = RSΔABC ≅ ΔRSTm∠BAC ≅ m∠SRTReasons:
The given parameters are;
Triangle ΔABC is reflected across the line y = 2·x
Given that a reflection is a rigid transformation, we have;
The distance between two points on a preimage is the same as the distance between the corresponding points on the image;
Therefore;
ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;
AB ≅ RS, BC ≅ ST, and AC ≅ RT
m∠BAC ≅ m∠SRT
m∠BCA ≅ m∠STR
m∠BAC ≅ m∠SRT
Therefore;
The true statements are;
AB = RSΔABC ≅ ΔRSTTherefore;
m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRSTLearn more here:
https://brainly.com/question/14136606
Which of the following is a Platonic solid?
A torus
B. sphere
C. tetrahedron
D. cylinder
Answers
Answer:
c. tetrahedron
Step-by-step explanation:
Ayuda por favor, no quiero reprovar
Answers
HELP I NEED AN ANSWER ASAP!! IM BEING TIMED!!
For this year‘s prom, 35/12 grade students and 28th 11th grade students voted on the theme. The segment take a bar graph below shows the distribution of responses.
Based on the segmented bar graph, does there appear to be an associates between grade level and prom theme?
A yes, there is a different number of students in each class.
B yes, it appears that the 12th grade students prefer the 1920s more than the 11th grade students, and prefer the beach party less.
C no, both distributions of student preferences have the same four categories.
D no, both distributions of student preferences have about the same preference for each of the prom themes.
E no, by the same number of students in each class. Preferred winter wonderland and masquerade ball as prom themes.
Answers
Answer:
B
Step-by-step explanation:
Logically and if you observe the graph closely ┐( ∵ )┌
The answer is yes, there appears to be an association between grade level and prom theme based on the segmented bar graph. The Option B is correct
Is there an association between grade level and prom theme?The graph shows that 12th-grade students prefer the 1920s theme more than the 11th-grade students do, and they also have a lower preference for the beach party theme. This indicates a difference in preferences between the two grade levels for these specific prom themes.
This graph provide information on whether both distributions have the same four categories or whether they have the same preference for each of the prom themes, so, its indicate whether the number of students in each class is the same or not.
Read more about Graph
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Match the expression with its name. 3x + 7
Answers
Answer:
It's a linear expression.
Answer:
linear binomial
Step-by-step explanation:
I got it right in Grandpoint.
which ordered pair is a solution of the equation
Answers
Answer:
a
Step-by-step explanation:
2x+3y where it is 2,2 become 4 plus 6 which is 10
Answer:
A
Step-by-step explanation:
Step 1:
Make your equation into y=mx+b format
2x+3y=10 is the same as y=-2/3x+10/3 (10/3 is about 3.33)
Step 2:
Graph your equation
Step 3:
Plot your points and you will see that the only one that works is (2,2)
Hope that helps
3 pls pls pls help me
Answers
Answer:
I think the answer is c
Step-by-step explanation:
hi please help :)????
Answers
there's not information for me to help. what are the choices in the word box?
The equation y=2x+3 represents the cost y (in dollars) of mailing a package that weighs x pounds. a. Graph the equation. b. Using the graph, which is the best estimate for the cost to mail the package?
a. Graph the equation.
b. Using the graph, which is the best estimate for the cost to mail the package?
the packedge is 1.126 lb
c. Use the equation to find how much it costs to mail the package.
Answers
Answer:
B. Slightly more than $5
Step-by-step explanation:
y = 2x + 3
Firstly we check variables to make sure we understand.
y = dollars
x = pounds
On the scale, it says 1.126 lb. Which means 1.126 pounds.
And so, x = 1.126
y = 2x + 3
y = 2(1.126) + 3
y = 2.252 + 3
y = 2.252
The graph for part a and park b. It is underneath. I wrote 1.1, because it is rounded down from 1.126 lb, which is part b. The one with one line and no dots is part a.
the simple interest on $700 for 2 years at 10% is ?
Answers
Answer:
140
Step-by-step explanation:
∫P=700
∫T=2
∫R=10% after a few calculating you get 140.....the answer is right just sorry for my bad explaining
in a sale, a clothes shop reduces its price by 45%.a shirt usually costs $27how much is it on sale?
Answers
27.00
-12.15= 14.85
Viola makes gift baskets for Mother’s Day. She has 13 baskets left over from last year, and she plans to make 5 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell? I can't find the rule of the equation.
Answers
Answer:
88 blankets
Step-by-step explanation:
5 times 15 = 75
75 + 13 = 88