Step-by-step explanation:
In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.
We know that the sum of angles of a triangle is equal to 180 degrees. It means that,
x+x+x=180
3x=180
x=60°
Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle
1. What is the solution for 2x-5=7
O x = 6
O x = -6
X = 12
O x = 9
Given, equation in the question which we have to solve is
[tex]2x - 5 = 7[/tex]
Here, we need to find x. So, Let's isolate x on one side of the equation. It is present in the left hand side. Add 5 to both sides,
[tex]2x - 5 + 5 = 7 + 5[/tex]
[tex]2x = 12[/tex]
Divide 2 from both sides,
[tex] \frac{2x}{2} = \frac{12}{2} [/tex]
[tex]x = 6[/tex]
So, the correct option is A.
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determine which of the following pairs of triangles are similar.
Triangles given in Options (b) and (c) are similar.
Theorems of similar triangles: If two angles of a pair of triangles are equal in measure, then the triangles will be similar by A-A property. If corresponding sides of two triangles are proportional, both the triangles will be similar.
From the picture attached,
a). In triangle ABC,
∠A + ∠B + ∠C = 180° [By triangle sum theorem]
60° + ∠B + 40° = 180°
∠B = 80°
Similarly, in ΔDEF,
∠D + ∠E + ∠F = 180°
60° + 85° + ∠F = 180°
∠F = 35°
Since, measure of angles of both the triangles are different in measures, triangles will not be similar.
b). In ΔABC,
∠A + ∠B + ∠C = 180°
45° + 50° + ∠B = 180°
∠B = 85°
In ΔDEF,
∠D + ∠E + ∠F = 180°
50° + 85° + ∠F = 180°
∠F = 45°
Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E
Since, measure of corresponding angles are equal, both the
triangles (ΔABC ~ ΔFED) will be similar.
c). Here, corresponding sides of both the triangles are proportional,
[tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]
[tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]
[tex]\frac{2}{1}= \frac{2}{1}= \frac{2}{1}[/tex]
Both the triangles ΔABC and ΔDEF will be similar.
Therefore, Option B and Option C are the correct options.
Learn more about the similarity of two triangles here,
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(-5)+(+7)=( ____) ???
Answer: 2
Step-by-step explanation:
It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198
*text messages?
Answer:
$19.8
Step-by-step explanation:
To find the answer, find the ratio.
Answer: 1980
Step-by-step explanation:
Set yp a proportion
5.60dollars=56texts
---------------- ----------
198dollars= x
Then you cross multiply the 198 with the 56
then you divide the 5.60
B·11 identity the expression as a numerical expression or algebraic expression
Answer:
Step-by-step explanation:
A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.
Evaluate the expression. -12 divided by 4 - 6
Answer:
-9
Step-by-step explanation:
Hope this helps.
HELP ME PLS THANK YOU<<<3333
≈ 63.30 ft²
Step-by-step explanation:Heron formula
A = √p(p - a)(p - b)(p - c)
a = 9 ; b = 15 ; c = 20
p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22
A = √22(22-9)(22-15)(22-20)
= √22×13×7×2
= √4004
≈ 63,27
≈ 63.30 ft²
Aline passes through (2, -1) with slope 3.
What is the equation of the line in slope-intercept form?
What way of solving systems would you Ik use for these two equations ? X=3 y=2x+1
Answer:
Substitution
Step-by-step explanation:
Subtitue x=3 into the second equation
y=2(3)+1
y=6+1
y=7
In Danville, the only hospital does not have an emergency room for badly injured patients. Patients with serious injuries are taken to the emergency room in Richmond, 9.8 miles away. On a map of the area, these two hospitals are 2 inches apart. What scale does the map use? Write your answer as a decimal or whole number.
1 inch = _ Miles
-5/7 (50/5 - 1/5) explanation too please
Someone please help and let it be the right answer I'm failing math
Answer:
Step-by-step explanation: the triangle is negative 6, plus 18 half in the middle.
help me pls math is so confusing
F(x)=-2x^2 -5x+1
H(x)=3(x+3)^2-11
H(f(-1))=?
A.132
B. 136
C.140
D.144
Answer:
B
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]
And we want to find:
[tex]h(f(-1))[/tex]
So, find f(-1) first. Substitute -1 into f(x):
[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]
Square:
[tex]f(-1)=-2(1)-5(-1)+1[/tex]
Multiply:
[tex]f(-1)=-2+5+1[/tex]
Add:
[tex]f(-1)=4[/tex]
Now, substitute this into h(f(-1)):
[tex]h(f(-1))=h(4)[/tex]
So, substitute 4 into h(x):
[tex]h(4)=3(4+3)^2-11[/tex]
Add:
[tex]h(4)=3(7)^2-11[/tex]
Square:
[tex]h(4)=3(49)-11[/tex]
Multiply:
[tex]h(4)=147-11[/tex]
Subtract:
[tex]h(4)=136[/tex]
So, our answer is B.
And we're done!
when f(n)=-8 what is the value of n?
Answer:
20 the answer is 20 because you plug in 4 for n.
please give step by step instructions
2c+3=2c+3
Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Subtract 2c from both sides.
2c + 3 − 2c = 2c + 3 − 2c
3 = 3
Step 2: Subtract 3 from both sides.
3 − 3 = 3 − 3
0 = 0
All real numbers are solutions.
All real numbers are solutions.
Step-by-step explanation:
Step 1: Subtract 2c from both sides.
2c + 3 − 2c = 2c + 3 − 2c
3 = 3
Step 2: Subtract 3 from both sides.
3 − 3 = 3 − 3
0 = 0
All real numbers are solutions.
1
3
1
miles in
20
hour. What
Park rangers at a game preserve in Africa observed a cheetah run 3
was the cheetah's speed in miles per hour (mph)?
9
A. mph
50
5
B. 5 mph
9
C. 72 mph
O D. 92 mph
PLEASE HELP!!!! Choose the name of the angle notated by the arc.(SHOW WORK) (Will Give Brainiliest) A.TSP B.STP C.TSP
The name of the angle notated by the arc is C. TPS.
Due to the arc, P is the middle letter, so The answer is TPS.
Calculate the speed of a train traveled 400miles in 5 hours
Answer:
80 miles per an hour
Step-by-step explanation:
400 divided by 5 equals= 80 so 80miles = 1 hour
Answer:
80 miles per hour.
Step-by-step explanation:
Start with the speed formula.
[tex]speed=\frac{distance}{time}[/tex]
In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.
Substitute:
[tex]speed=\frac{400}{5}[/tex]
Divide.
[tex]400[/tex] ÷ [tex]5[/tex]
Solve:
[tex]400[/tex] ÷ [tex]5=80[/tex]
Which table represents a linear function?
1
1
y
1
2
1
XIN
1
2
2
2
3
4
9
13
21
3
12
2
3
AWNI
4
4
Х
1
у
0
농
2
3
4
6
16
30
Answer:
Step-by-step explanation:
H
A.)4
B.)10
C.)18
Which one could be the answer I’m lost.
f(x) = ((x^2) / 3) + x, for f(6)
f(6) = ((6^2) / 3) + 6
Square 6
f(6) = (36 / 3) + 6
Divide 36 by 3
f(6) = 12 + 6
Combine like terms
f(6) = 18
i'm over this please
Answer:my answer is oooof
Step-by-step explanation:
x=127
since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127
Round the following to the 3 significant digits. 456789
Answer:
456789 to 3 significant figures = 457000
Pleaseeeeeee Help meee :(((((
(30 points)
Answer:
9
Step-by-step explanation:
d=rt
12x45/60
12x0.75
9=d
Answer:
Step-by-step explanation:
Write and real-world problem that could be represented by the inequality below:
x+ 655 < 5x + 600
Answer:
Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.
I hope this helped! :) If it was correct for your question please give me brainliest!
HELP!!! what is the answer to this 5(2)+5(7)
Answer:
45
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
5(2) + 5(7)
Step 2: Multiply
10 + 35
Step 3: Add
45
Answer:
45
Step-by-step explanation:
Parenthesis means you would need to multiply
so
(5 x 2) + (5 x 7)
= 10 + 35
add
= 45
x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?
Sort the objects according to their densities. Which will float? Which will sink?
Remember, water has a density of 1 gram per cubic centimeter.
Clay: 54 g/45 cm
Float in Water (density < 1 g/cm)
Sink in Water (density > 1 g/cm”)
Brick 38 g/20 cm
Oak wood: 56 g/80 cm
Wheat 24 g/30 cm
Butter: 8.7 g/10 cm
Answer:
Float in Water:
Wheat
Butter
Oak wood
Sink in Water:
Brick
Clay
Step-by-step explanation:
No idea honestly, but make sense also do not mind my user. Brainly was being annoying by ADs and keep putting them in my face.
Nicole lives in a home worth $135000. She has a mortgage of $88000. She owes $42000 on her car that is worth $11000. She has a credit card balance of $28000. She also has a checking account with a balance of $900 and $300 in gift cards. What is Nicole's net worth?
Answer:
305,200
Step-by-step explanation:
4^3x4^7=? HURRYYYYYYYYYYY
Answer:
4¹⁰
Step-by-step explanation:
4³ × 4⁷ = 4³⁺⁷ = 4¹⁰