These triangles are congruent under the SAS congruence criterion. The angles that face each other at the tip of these two triangles are vertically opposite angles, so their measures will be equal. It is already given that two sides of these two angles are equal. Since two sides and one included angle is equal, the SAS congruence criterion can be used to prove that this triangle is congruent.
Answer (b) :These triangles are congruent under the SSS congruence criterion. This criterion states that if all three sides of two triangles are equal then they are congruent triangles. Since two sides and one included/common side of these triangles are equal they can said to be congruent under the SSS congruence criterion.
Answer (c) :These triangles can be proved to be congruent using the SAS congruence criterion. Let us prove it using the following steps :
Given :
In triangle 1 :
Measure of an angle = 48°Measure of one of its side = 6 cmMeasure of another side = 6 cmIn triangle 2 :
Measure of an angle = 48°Measure of one it's side = 6 cmMeasure of another side = 6 cmSince two sides and one included angles of both these triangles are equal, we can conclude that they are congruent under the SAS congruence criterion.
Answer:
lady strange is the best
Step-by-step explanation:
What is the scale factor of ABC to AXYZ?
B
35°
36
27
48"
48°
96"
96
A
21
C
0
A. 2
ов.
c. Ž
O O
D. 3
SUBMIT
The value of scale factor of triangles ABC to XYZ would be,
⇒ 3
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
To find scale factor of triangles ABC to XYZ.
Now, We can formulate;
scale factor of triangles ABC to XYZ is,
= AB / XY
= 27 / 9
= 3
Thus, The value of scale factor of triangles ABC to XYZ would be,
⇒ 3
Learn more about the triangle visit;
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#SPJ7
helpppppppppppp meeeeeeee
Answer:
A
Step-by-step explanation:
Answer: A is the answer
Step-by-step explanation:
64 = 5h
= h
what's the value of h?
Answer:
H = 64/5
Eplanation:
64=5h
5h=64
64/5
H
8 2/3 ÷ 5 7/9 is equal to what?
Answer:
it equals to 8 1/3
Step-by-step explanation:
Instead I’d using the values 1,2,3,4,5,6 on dice, suppose a pair of dice have the following 1,2,2,3,3,4 on one die and 1,3,4,5,6.8 on the other.find the probability of rolling a sum of 12
Answer:1/24
Step-by-step explanation:
Since the first die has 4 distinct numbers, and second has 6 distinct numbers, so total number of combinations possible = 4 × 6 = 24
Now, the number of chances where we get the rolling sum as 12 is only one. (
Therefore, the probability of getting sum 12 is 1/24
Answer:
1/36
Step-by-step explanation:
For the acellus people
I need help.
If you don't know please don't answer a guess or a silly answer.
If you know for sure please put the answer below and you will get 20 points.
Thank you!
Answer:
20.5
Step-by-step explanation:
2.50+7.50+.30(35)
how do i solve this problem 1/6 1/6 1/6 1/6
Answer:
4/6
Step-by-step explanation:
1/6+1/6+1/6+1/6=4/6
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 3. If there were 5663 total votes, how many yes votes were there
Answer:
3236
Step-by-step explanation:
4+3=7
7u-> 5663
1u->809
4u->3236
The Rodriguez
family is on a
vacation. They
started with $1,875.
They have spent
$140 each day and
have $895 left for the
rest of their vacation.
Write and solve an
equation to find how
many days have they
been on their
vacation already?
) A computer program found that the line LaTeX: c=2t-89c = 2 t − 89 is a good fit for the data. Use this equation to predict how many cups of lemonade Lin might sell on a day when the high temperature is 74 degrees. We predict she will sell 40 cups of lemonade.
Answer:
Number of cups of lemonade = 59 cups
Step-by-step explanation:
Given the linear function :
C = 2t - 89
At temperature of 74° ;
The cups of lemonade as calculated using the linear model:
C = 2t - 89 ; where c = cost of lemonade ; t = temperature.
C = 2(74) - 89
C = 148 - 89
C = 59
A function assigns the values. The prediction that she will sell 40 cups of lemonade that day is wrong.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As it is given that function, c=2t-89, where the number of cups of lemonade is represented by c, and t represents the temperature of the day.
Now, as it is given that the temperature at the day is 74, therefore, the number of cups that will be sold that day can be predicted as,
[tex]c = 2t-89\\\\c = 2(74)-89\\\\c = 148-89\\\\c = 59[/tex]
Hence, the prediction that she will sell 40 cups of lemonade that day is wrong.
Learn more about Function:
https://brainly.com/question/5245372
Describe the transformation below. Use words like translated, reflected, rotated, or dilated with a description.
Answer:
translated
Step-by-step explanation:
the shape slides to a new position, but nothing is changed size wise.
units digit in (126^2)
Answer:
The unit digit of (126²) is 6
Answer:
That would be 6.
Step-by-step explanation:
Here it is.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: 27°
Step-by-step explanation: Here, we're asked to find the missing angle measure in the triangle shown which is represented by the variable x.
To find the value of x, remember that the sum of the
measures of the angles in a triangle is 180°
So we can setup the equation 63 + 90 + x = 180.
Remember that a box indicates a 90° angle.
Now to solve for x, let's first simplify on the left side of the equation.
63 + 90 is 153 so we have 153 + x = 180.
Now to get x by itself, we subtract 153 from both sides of the equation.
On the left side of the equation, 153 - 153 cancels out and we have x
and on the right side of the equation, 180 - 153 is 27.
This means that the missing angle in the triangle is 27°.
Find the number that makes the ratio equivalent to 12:1.
?:6
What is the value of
56÷37?
56÷37?
Answer:
exact form is 56/37
decimal form is 1.513
mixed number form is 1 19/37
Step-by-step explanation:
The temperature at noon was -4° C. By midnight, the temperature dropped 8°C
Which expressions represent the temperature at midnight?
Select all that apply
А
-4 + 8
B.
- 8
C 1 - 4 - 8
D
-4 + (-8)
E
-4-(-8)
F
1-4-(-8)
Please help ASAP: X-1/2=3/4
Answer:
x = 5/4 OR 1 1/4
Answer:
x = 5/4 or 1 1/4
Step-by-step explanation:
X-1/2=3/4
Add 1/2 to each side
X-1/2+1/2=3/4+1/2
x = 3/4 +1/2
Get a common denominator
x = 3/4 + 2/4
x = 5/4
x = 1 1/4
Find the constant of proportionality for the table of values,
The constant of proportionality is k=
Answer:
2.5
Step-by-step explanation:
[tex]y/x\\15/6[/tex]
also known as 15 divided by 6 which equals 2.5 so
2.5 is the constant of proportionality
15% of an amount is 30?
Answer:
200
Step-by-step explanation:
15% × ? = 30
? =
30 ÷ 15% =
30 ÷ (15 ÷ 100) =
(100 × 30) ÷ 15 =
3,000 ÷ 15 =
200
What is the solution of this linear equation system? y = 3x-2 y-2 = x
Answer:
(2,4)
Step-by-step explanation:
Replace all occurrences of y with 3 x − 2 in each equation.
3x - 4 = x
y= 3x -2
Solve for x in the first equation.
x = 2
y = 3x - 2
Replace all occurrences of x with 2 in the equation.
y = 4
x= 2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2,4)
hope this helps :)
9x -1 = 80
A -10
B 9
C 10
D -9
Answer:
The answer is B!
Step-by-step explanation:
Add 1 to both sides, then divide 80 by 9!
HELP QUICK EASY Pi WORK PLEASE HELP QUICK
Answer:
3.998 km?
not exactly sure but good luck
Step-by-step explanation:
Needing some help please
Answer: Should be (4,0)
Step-by-step explanation:
find the slope of the line going through the points (3,2) and (8,27)
Answer:
5
Step-by-step explanation:
y²-y¹/x²-x¹
Where y²=27
y¹=2
x²=8
x¹=3
= 27-2/8-3
=5
6 R
;\: ; _6
-2
4 6
4 2
4
Help❗️❗️
Answer:
drop the 0 then add the 0 o. the top or I think
£2,300 is invested for 4 years at 5% per year simple interest work out the total interest
Answer:
£460
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2300 × 0.05 × 4 = 460
I = £ 460.00
The simple interest accumulated
on a principal of £ 2,300.00
at a rate of 5% per year
for 4 years is £ 460.00.
Write the missing decimal so that each pair adds to 1/2 + ...= 1
Answer:
0.5
Step-by-step explanation:
1/2 + 0.5 = 1
I really really really really really really really really need help please help
Answer:
129 degrees
Step-by-step explanation:
One circle is 360 degrees, so add up all the degrees, including x:
35 + 55 + 141 + x = 360
231 + x = 360
x = 360 - 231
x = 129 degrees
Can you help me put these in order please
Step-by-step explanation:
8.4 - 8.41 - 8.485 - 8.538 - 8.55 - 8.566
Answer: least to greatest
8.4, 8.41, 8.485, 8.538, 8.55, 8.566
least to greatest
What is 20 percent of 65
Answer:
13
Step-by-step explanation: