Answers
Answer:
The value of x is 7
AC congruent to DF because AC = 13.5 in. and DF = 13.5 in, EF congruent to BC because EF = 12 in. and BC = 12 in., ∠C congruent to ∠F. The triangles ACB and DEF congruent by the SAS Triangle Congruence Theorem only when x = 7
Step-by-step explanation:
If two sides in a triangle congruent to two sides in other triangle and the including angles between the two sides are congruent in the triangles, then the two triangles are congruent by the SAS postulate of congruency
In the given figure
→ If ∠C ≅ ∠F
∵ m∠C = m∠F
∵ m ∠ C = (2x + 14)°
∵ m∠F = (4x)°
→ Equate them to find x
∴ 4x = 2x + 14
→ Subtract 2x from both sides
∴ 2x = 14
→ Divide both sides by 2
∴ x = 7
→ In Δs ABC and DEF
∵ AC congruent to DF because AC = 13.5 in. and DF = 13.5 in
∵ EF congruent to CB because EF = 12 in. and CB = 12 in.
∵ ∠C congruent to ∠F
∴ The triangles ACB and DEF congruent by the SAS Triangle Congruence
Theorem only when x = 7
Related Questions
the lenght of the floor is 32 m longer than its width and there is greater than 200 square meters. you will cover the floor completely with tiles. what will be the possible dimension of the floor?
Answers
To figure out the dimensions we need to figure out the value of the variable (x)
This means that the length is xm+32m (the m is for metres) and that the area is a>200m2
Because it says what is the possible dimensions let make the area 201m2
The formula for the area of a rectangle is length times width so the equation we use to figure out the value of x
201=x+x+32
So let’s collect like terms and solve from there
201=2x+32
201-32=2x+32-32
169=2x
169/2=2x/2
84.5=x
Now that we know the value of x is 84.5 we can figure out the length is 116.5m and the width is 84.5m
Therefore the dimensions of the floor is 116.5m by 84.5m
Analyze the table showing the number of days and cost of the trip.
Answers
Answer:
The answer is 25
Step-by-step explanation:
10) Find the circumference of the circle.
Use a 3.14
Answers
Answer:
50.24
Step-by-step explanation:
2*3.14*8=50.24
2*pi*r= circumference
need help please, ASAP
Answers
Answer:
BC ≅ YX and ∠A ≅ ∠X
Step-by-step explanation:
Answer:
the answer is the last one BC is congruent to yz and a and x
Step-by-step explanation:
I NEED AN ANSWER ASAP A surveyor finds the angle of elevation to the top of a building to be 75°. He is 20 meters from the base of the building. How tall is the building?
Answers
Answer: 74.6
we draw a right triangle ABC, have: ∠ABC = 90°, AB = 20 and ∠BAC = 75°, the height of the building is BC
we also have: tan 75° = BC/AB = BC/20
=> BC = tan 75°. 20 = 40 + 20√3 ≈ 74.6
Step-by-step explanation:
HELP MY PARENTS ARGUING ABOUT THIS ASSIGNMENT PLEASE DO THIS HURRY!!!
Answers
What is 50% of.......55
Answers
Can sum1 help me plz
A square garden has an area of 53.29 square meters. What is the length of each side of the garden?
1) 3.8m
2) 7.3m
3) 13.3m
4) 26.6m
Answers
Answer:
7.3m
Step-by-step explanation:
Area is l * w
The length and width of a square are the same, so that means we can use square root for this problem.
The square root of 53.29 is 7.3
7.3*7.3 = 53.29 (<- to double check)
List all 3-digit numbers which are 19 times the sum of their digits.
Answers
Answer:
114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399
Step-by-step explanation:
These are all the three-digit numbers that are a multiple of 19.
Answer:
114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399
PLS GIVE BRAINLIEST
help asap i don't understand
Answers
x+4/12=-5/3
3(x+4)=12-5
3x=7
x=7/3
x=2.3
A pack of 8 batteries costs £5.99 How much does each battery cost?
Answers
Answer:
£0.75 is how much each battery costs.
Step-by-step explanation:
£5.99 ÷ 8 = £0.748
Answer:
75 cents
5.99 divided by 8 is .74 which can be rounded to .75 which is also 75 cents
Write n times 7 as an expression
Answers
Answer:
7n
Step-by-step explanation:
Answer:
n x 7
Step-by-step explanation:
hope this helps
two times x divide five
Answers
Answer:
2x/5
Step-by-step explanation:
at a school
number of boys:number of girls= 11:9
There are 124 more boys than girls.
Work out the total number of students at the school
Answers
Answer:
Total students = 1240
Step-by-step explanation:
Boys : girls = 11 : 9
Number of boys = 11x
Number of girls = 9x
11x - 9x = 124
2x = 124
x = 124/2
x = 62
Number of boys = 11x = 11 *62 = 682
Number of girls = 9x = 9*62 = 558
Total students = 682 + 558 = 1240
Help pls!
U don’t need to explain
Answers
bonus : x=2
There are 60 students in the school band. 30% of them are sixth graders, 50% are seventh graders, and the rest are eighth graders. a. How many band members are sixth graders? b. How many band members are seventh graders? c. What percentage of the band members are eighth graders? Explain your reasoning.
Answers
Answer:
there is 12 6th graders 30 7th graders and 12 8th graders and 20% is 8th graders please mark brainlyist
14 fish out of 100,000 are blue, what would this be as a percentage?
Answers
Answer:
0.014%
Step-by-step explanation:
We need to write 14 out of 100,000 as a fraction. Which makes 14/100,000. Now 14/100,000 as a percent is 0.014%
(-6)(-2)(-1) =
Answers
12 times -1 is -12
Someone plz help me with this
Answers
Answer:
2.20 y axis 2years T x axis is the answer
Help please im very lost
Answers
Answer:
pretty sure it is zero
Step-by-step explanation:
There are two x's of the same value so presumably the line is vertical which would mean it has no slope and could only be described as zero
Answer:
Step-by-step explanation:
Find the slope. Use m = y2-y1/x2-x1 form
So, -4-(-17)/-6-(-6)
This = 13/0
Which = undefined.
The slope is undefined.
Please help! :)
Will give brainliest, thank you
Answers
Answer:
y=-3/5x+2
Step-by-step explanation:
slope is -3/5
starting point is 2
What is the slope of a line that passes through the points (2,0) and (6,−12)
Answers
Answer:
slope = -3
Step-by-step explanation:
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Given points: (2, 0), (6, -12)
(2, 0) = (x1, y1)
(6, -12) = (x2, y2)
To find the slope, input the two given points into the formula used to find slope:
[tex]\frac{-12-0}{6-2}[/tex]
Simplify:
-12 - 0 = -12
6 - 2 = 4
[tex]\frac{-12}{4} = -\frac{3}{1}=-3[/tex]
The slope of the line is -3.
Hope this helps :)
PLEASE ANSWER FAST!! WIIL GIVE BRAINLIEST
Which equation correctly shows how to determine the distance between the points (9,-2) and (6,3) on a coordinate
grid?
Od-V(6-3)?+ (9-(-2))?
Od-V(6+3)²+(9+(-2))?
)9
O ơ= 6 – 9) + (3-(-2)
d-/6+9)2+(3+(-2)2
Answers
What is Fourteen minus four times y is equal to y increased by 4
Answers
Ala has 24 dollars, Barb has 66 dollars, and Sophia has as many dollars more than Ala as she has less
than Barb.
How many dollars does Sophia have?
A) $35
B) $42
C) $45
D) $48
Answers
Answer:42
Step-by-step explanation:
A number with three digits will open up this lock. These clues will help you find it before the turkey burns hard as a rock. Drawing a number line might help you too, Enter the number below when you are through! My number has ones, tenths, and hundredths Rounding to the nearest whole number, you get 4 Rounding it to the nearest tenth, you get 3.5 The number of hundredths is greater than 3 7
Answers
Answer:
7.77
Step-by-step explanation:
nearest one = 4
nearest ten = 0.35
nearest hundreth = more than 37
--4
-3.5
<.37-
+__
7.77
i think thats it. pls dont let turkey roast alive D:
Match each step of the proof with the justification for the step.
[ Select]
NM -NP; NR bisects ZMNP
ZMNR PNR
[ Select]
V
[ Select]
NRNR
Therefore, ANMRSANPR
[ Select]
ZMSZP
[ Select]
Answers
Answer:
uh
Step-by-step explanation:
The length of a rectangle is 6 centimeters less than the width. The perimeter is 206 centimeters. Find the width and the length.
Answers
Answer:
34.3333333333
Step-by-step explanation:
Find the solution of the system of equations.
First equation,
- 2x - 5y = -15
Second equation,
-9x + 15y = -30
Will mark brainliest
Answers
Answer:
the answer to your equation is (5,1) in point form or x=5,y=1 in equation form.
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation. hope this helps. :)
Find the midpoint of a line with endpoints of (2, 6) and (10, 18)
Answers
Answer:
6, 12
Step-by-step explanation:
10-2=8 8/2= 4 2+4= 6
18- 6= 12 12/2= 6 6+6=12