The triangles are the same
CA= 8.5
AT=5
DG=12
T=70
O=57
C=53
Step-by-step explanation:
This can be a little brain bending but try to imagine rotating ∆DOG to the left once. The bottom side is now OGD. Now, the triangles will look similar. Here is the rule:
The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. An included angle is an angle formed by two given sides.
so, side CA is equal to side DO. Side CT is equal to side DG, and side AT is equal to side OG. The answers to the first column are:
CA=8.5m
AT=5m
DG=12m
Now, because the sides are equal, the angles are equal:
>T is the same as >G. =70°
>A is the same as>O = 57°
The angles of a triangle have to add up to 180°, so
70° + 57° = 127°
180°- 127° = 53°
So, angles D and C equal 53°.
How this helps.
This pack of Pokemon cards is currently selling on Amazon for $3.90. If there are 10 cards in the pack, how much money are you paying per card?
A. $39.00
B. $13.90
C. $6.10
D. $0.39
Please help a bruddah out its 8 pm and I'm grinding on schoolwork.
solve for y and x explain your thinking
Answer: X=2.5, Y= 6.5
Step-by-step explanation:
It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.
What would the exponential growth model be for the given situation?
what three ratios are equivalent to 11: 1
Answer:
33/3
55/5
77/7
When these are simplified, they are equal to 11/1
£3000 is invested at 4% compound interest per annum. What is the value of the investment after 3 years?
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
My boys got me I’m giving brainliest
Answer:
B
Step-by-step explanation:
Find the holes
[tex]f(x)=\frac{x}{x+2}[/tex]
Answer:
x = - 2Step-by-step explanation:
The "holes" are the x-es where function doesn't exist.
One must not divide by 0, so given function doesn't exis if the denominator is equal 0
x + 2 = 0
x = - 2
____ is a line that passes through exactly one point on a circle
Answer:
Radius????????????????
Match the angle in parallelogram WXYZ with a congruent one
∠XWZ
Step-by-step explanation:
Opposite angles in a parallelogram are congruent.
Therefore Angle XWZ = Angle XYZ. (D)
Answer:
D)XYZ
Step-by-step explanation:
I am pretty sure that's the answer
100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported
Answer:
2sqrt5
Step-by-step explanation:
We know that the shortest distance would be with drawing a perpendicular line through BC and A.
BC is y = -2x+1
Therefore a perpendicular line should have slope 1/2
y = 1/2x + b
-3 = 1/2*-3 + b
b = -3/2
y = -2x+1
y = 1/2x - 3/2
-2x+1 = 1/2x - 3/2
-4x+2 = x - 3
5 = 5x
x = 1
y = 1
now of course the graph shows that already, but we're just proving that again
The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5
Answer:
Solution given:
AB=
[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]
[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units
[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]
so shortest distance=AC=4.5units
please help me please will give brainliest
please solve that way it's said in the picture please question 1 and 2
There are 50 cups of water in 10 gallon of water what is the total number of cups of water in 1/4 gallon of water? HELP ASAP
Answer:
there would be 20
Step-by-step explanation:
Answer:
1.25 cups
Step-by-step explanation:
50 / 10 = 5
that means there are 5 cups in 1 gallon
5 / 4 = 1.25
So there are 1.25 or as a fraction 1 1/4 cups in 1/4 of a gallon of water
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of .5 m/s2. What is her final velocity?
If Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s². then 12.25 m/s is the final velocity.
What is Velocity?Velocity is the distance covered by an object in unit time.
Given that,
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s²
a=0.5 m/s²
s is distance=35-20=15
We have a formula with velocity, acceleration and distance
Now v²=2as
Here v is velocity=2
a is acceleration=5
s is the distance.=15
v²=2×5×15
The multiplication value of 2×5×15 is 150.
v²=150
Take square root on both sides
v=√150
v=12.25 m/s
Therefore final velocity is 12.25m/s.
To learn more on velocity click:
https://brainly.com/question/18084516
#SPJ2
I need answer asap 30 points
Answer:
1.it is the last one
2. the first one
3.the secound one
Step-by-step explanation:
click to see the question
A and C is the answer
hope you'll learn from your teacher how?
Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
[tex]3x ^{3} - {4}^{2} - 23x + 10[/tex]
the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.
In the hospital, 80 people were admitted Friday, 25% of these admissions were women in labor to have babies. How many women were in labor? O A 25 OB. 20 O C. 35 O D. 30
Answer:
Step-by-step explanation:
25% it means 1/4 of the total
1/4 of 80 is 20 (80/4=20)
answer B
Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?
Can someone please fill out this chart I will really appreciate it
Answer:
Step-by-step explanation:
Given: i. AB||DE
ii. AC≅DC
Prove: ΔABC≅ΔDEC
From the two triangles, it can be observed that;
m<BAC≅m<EDC (alternate angles)
m<ABC≅m<DEC (alternate angles)
m<BCA≅m<ECD (vertically opposite angles)
m<BAC + m<ABC + m<BCA = m<EDC + m<DEC + m<ECD = [tex]180^{o}[/tex] (sum of angles in a triangle)
Since the three angles of the triangles are congruent respectively, then;
ΔABC≅ΔDEC (AAA congruence property)
please make x the subject for these questions
a(x-4)=b
c(7+x)=7
x/y-2 = v
v/9x = w/y
vx + w = 5
2w + vx = y
thanks
Answer:
x=b+4a/a
x=7-7c/c
x=y(v+2)
Answer:
That's the answer to everything
Select the correct answer.
What is the missing side length in this right triangle?
Answer:
15
Step-by-step explanation:
It's a right angle triangle so we can use the pythogorean theorem to solve for Hypotenuse
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
So if we apply this formula,
[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]
[tex]81 + 144 = {c}^{2} [/tex]
[tex]225 = {c}^{2} [/tex]
[tex]c = \sqrt{225} [/tex]
[tex]c = 15[/tex]
Hope this helps :)
Determine the smallest integer value of x in the solution 4x-9 ≥ 17
Answer:
6.5
Step-by-step explanation:
calculator
Answer:
7 is the smallest integer value
plz brainliestt
Step-by-step explanation:
4x>_ 26
x>_6.5
a wish tank that is full of water has sprung a leak, 12% of the water is lost every hour. what % of water is left in the tank after 20 minutes
PLS HELP MEEEEEEEEEE :(
Answer: c
Step-by-step explanation:
solve for b? please help me ASAP!!
Answer:
b = [tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle on the left.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 6² = 9²
b² + 36 = 81 ( subtract 36 from both sides )
b² = 45 ( take the square root of both sides )
b = [tex]\sqrt{45}[/tex]
help please help. help help
Answer:
Step-by-step explanation:
10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz
Solution: Number of girls = x
Number of boys = y
x + y = 10 -------------------(I)
Number of girls is 4 more than the number of boys
x - y = 4 ----------------------(I)
x = 4 + y
Substitute x = 4 +y in equation (I)
4+ y + y = 10
4 + 2y = 10
2y = 10-4
2y= 6
y = 6/2
y = 3
Plug in y = 3 in eqution (I)
x + 3 = 10
x = 10 - 3
x = 7
Number of girls = 7
Number of boys = 3
Enter the range of values for x:
[?]
Answer:
2<x<7
Step-by-step explanation:
Answer:
2<x<7
Step-by-step explanation: