Step-by-step explanation:
Corresponding angles and sides are listed in the same position when 2 triangles are either given congruent or asked to be proven congruent.
For example triangle ABC and triangle XYZ
Corresponding sides are AB and XY, BC and YZ, AC and XZ
corresponding angles are angle A and angle X and so on....
Question 23 Ge is a tangent to circle D at point E. GF is tangent to circle D at point F.
Answer:
5.2
Step-by-step explanation:
Connect G and D
In ΔGDE, angle ∠GED = 148/2 = 74°
Radius DE = 18/tan(74) = 5.2
You and four friends go to a baseball game. The total
cost is $110. How much did each ticket cost? One step word problem HELP ME PLEASEEE
Step-by-step explanation:
You and four friends = 5 people
To see how much one ticket costs we have to divide the total amount spent by the number of people who bought tickets.
Total amount spent: $110
People who bought tickets:5
110÷5=22
Each ticket cost $22
Answer:
$110÷5
=$22
therefore each ticket costs $22
Solve each two-step inequality and graph the solution set on a number line -17 < 3-5x
Answer:
[tex]x < 4[/tex]
Step-by-step explanation:
Given the following question:
[tex]-17 < 3-5x[/tex]
In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.
[tex]-17 < 3-5x[/tex]
[tex]-17 < 3-5x=3-5x > -17[/tex]
[tex]3-5x > -17[/tex]
[tex]3-3=0[/tex]
[tex]-17--3=-20[/tex]
[tex]5x=-20[/tex]
[tex]\frac{5x}{5}=x[/tex]
[tex]20\div5=-4[/tex]
[tex]x < 4[/tex]
When plotting inequalities on the number line keep a few things in mind:
. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.
Hope this helps.
What is the measure of
Answer:
64.4
Step-by-step explanation:
In one of the trig formulas, it states sin <a/A = sin<b/B = sin<c/C
So we have in this case:
sin(70)/12 = sin x/14 Note: x is just a variable for the angle <ABC
14(sin70)/12 = sin x
sin^-1(14(sin70)/12) = x
x=64.4
Your welcome, and comment if you have any questions! :D
Cybernaut Industries is buying back bonds which have an annual coupon payment of $300. The coupon was paid just 92 days earlier. How much accrued interest from the coupon payment will Cybernaut have to pay on each bond?
Answer:
$75.62
Step-by-step explanation:
Assuming exact interest is computed on each bond, interest will have accrued for 92 of 365 days between payments. The interest due on each bond is ...
(92/365)($300) ≈ $75.62
what is 31.75 times 1000
Answer:
31750
Step-by-step explanation:
Answer:
31750
Step-by-step explanation:
31.75 add a 0 and take of the point and you get your answer
Are all polyhedrons solids?
Answer:
A polyhedron is a 3-dimensional solid made by joining together polygons. The word 'polyhedron' comes from two Greek words, poly meaning many, and hedron referring to surface. The polyhedrons are defined by the number of faces it has.
Step-by-step explanation:
In the diagram below, FCE is a tangent to a circle centre and AC is parallel to OE AOB is a diameter. 5.1 Show that 5.1.1 CD = DB 5.12 BOCE is a cyclic quadrilateral 5.2 IFAC = 10 units, determine the length of OD.
please help
Answer:
a b c d
Step-by-step explanation:
10. DIG DEEPER! A muffin tray has
6 molds. Each mold holds
60 milliliters of batter. You make
184 milliliters of blueberry batter
and 145 milliliters of banana batter.
Do you have enough batter to fill
the tray? Explain.
how do you graph 5+1.50t on a graph paper
I got this from M~thw~y, (those lines are supposed to be the letter A, it is censored) it's a very helpful website!
Hope I could help~ have a good night/day :]
Pls help me out this is due soon
Answer:
I think plan b
Step-by-step explanation:
It starts at 1.5% and increases by 8.5% every year.
Please let me know if this is wrong!
Have an amazing day!
PLS MARK BRAINLIEST!
Answer:
C
Step-by-step explanation:
Seems right also pls try this move if you are sure of the answer close your eyes and see what answer pulls you in
how to express 3 ones and 8 tenths as a decimal??
Answer: am I don't know sorry i really need the points but i thing 3 can go in 8 1 time 0.38
Step-by-step explanation:
Pls help me !! Thanks
Answer:
B. 260
Step-by-step explanation:
perimeter of a rectangle is 2w+2l which when u plug in the values is 260
prove that if a is a factor of b and b is a factor of c, then a is a factor of c
Answer:
The set of numbers a = 3, b = 6, and c = 9 proves the hypothesis because 3 is a factor of 6 and 3 is a factor of 9. Property 1 states that therefore 3 is a factor of 9 + 3 =12, which we know is true because 3 × 4=12. You can prove that this property is true for all integers if you know what the term factor means.
Find a polynomial F(x ) of degree 5 that has the following zeros.
8(multiplicity 2) -2, -9, 0
Leave your answer in factored form.
F(x) = ?
Answer:
f(x) = x(x + 2)(x + 9)(x - 8)²
Step-by-step explanation:
Given x = h is a zero of f(x) then (x - h) is a factor
If h has multiplicity 2 then the factor is squared , that is (x - h)²
here the zeros are x = 8 of multiplicity 2 , x = - 2, x = - 9, x = 0
then (x - 8)² , (x - (- 2)) , (x - (- 9)) , x - 0 are the factors, that is
(x - 8)² , (x + 2) , (x + 9) and x
f(x) = x(x + 2)(x + 9)(x - 8)² ← in factored form
Choose the correct the expression: Six less than a number
Answer:
n-6
Let n represent the number
Answer:
X - 6
Step-by-step explanation:
X is a number
find , the correct 1 decimal , the volume of the following
V=4/3 PIr3
Answer: 165 cm^3
Step-by-step explanation:
Formula:
V = (4/3)π r^3
Knowns:
r = 3.4
Work:
- (4/3)π 3.4^3 ≈ 164.64 cm^3
- Now, round .6 to a 1 because it is >4, this turns 164.64 cm^3 into 165 cm^3
Answer:
165 cm^3
I am the smallest 5 digit even number you can make. What number I am?
Hi There!
The smallest 5-digit number is
[tex]\huge\text{10,000}[/tex]
It Is even!It has 5 digits!It's the smallest even 5-digit number that you can make!Hope it helps!
Have an awesome day!
[tex]\huge\text{TheStarryNights :D}[/tex]
Solve the following proportion. Round your answer to two decimal places.
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{x+1}{x+3}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5(x + 1) = 3(x + 3) ← distribute parenthesis on both sides
5x + 5 = 3x + 9 ( subtract 3x from both sides )
2x + 5 = 9 ( subtract 5 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
The original price of a computer game is 45$ The price is marked down by 18$ what percent of the original price is the markdown?
Answer:
$27
Step-by-step explanation:
$45 - $18 = $27
Percentage 150% (27 divided by 18 = 1.5, shift the decimal right two times and add the zero at the end which gives you 150%)
A 6-kilogram bag of cement costs $24.81. What is the unit price, rounded to the nearest cent?
Answer:
$4.14
Step-by-step explanation:
To find the unit price, we divide $24.81 by 6.
24.81/6 = 4.135
The question says to round to the nearest cent so we round it to 4.14.
4.135 = 4.14
Brainliest if correct
Answer:
16 and 125
Step-by-step explanation:
-2*-2 = 4
4*-2 = -8
-8*-2 = 16
5*5 = 25
25*5 = 125
Solve for x and y
can someone explain this to me? i’m not for sure how to solve it. will mark brainliest
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
6th Grade Math, Help Please! (Adding and Subtracting Rational Numbers)
HELPPPPPPP PLEAAASEEEEE
Answer:
6.8
Step-by-step explanation:
8÷3+7.5+3=8.0.hence 5× 5×1=5+3=8÷3+7.5+-3×1=-3+6=3. 5+8+7.5+-3+3=6.8.
Jessie saw the label of a box indicating that they are 50 packs of groceries inside it.Each pack of groceries weights 1 kg.
a.How many g does each pack of groceries weight?
Answer:?
b.What is the total weight in kg of the box.
Answer:?
c.What is the weight of the box in g?
Answer:?
Keshawn thinks that the graph of a function f(x) and its inverse f -1 (x) will always intersect. Give a counterexample to disprove his statement
2 numbers whose product is 40 and sum is -13
2 numbers whose product is 28 and sum is -11
2 numbers whose product is
15 and sum is -16
2 numbers whose product is -14 and sum is 5
2 numbers whose product is -5 and sum is -4
2 numbers whose product is -10 and sum is -3
2 numbers whose product is -56 and sum is 1
2 numbers whose product is -20 and sum is 1
if a smaller square of side 3 cm is cut out from a bigger square of side 9 cm to form a new shape ,What is the perimeter of the new shape formed?
Need to find:
Perimeter of new square formed?[tex]~[/tex]
Solution:
Side of smaller square = 3cm.Side of Bigger square = 9cm[tex]~[/tex]
Using formula:
Perimeter of square = 4 × side[tex]~[/tex]
Perimeter of smaller square:
⟹ 4 × 3
⟹ 12 cm
[tex]~[/tex]
Perimeter of Bigger square:
⟹ 4 × 9
⟹ 36cm
[tex]~[/tex]
Perimeter of new square = Perimeter of Bigger square - Perimeter of smaller square
⟹ 36 - 12
⟹ 24 cm
[tex]~[/tex]
∴ Perimeter of new square formed is 24 cm.
Megan will multiply the first equation by 3 then add the result to the second equation.
What will be the resulting system of equations that produces the same solutions?
The resulting equation will be x + y = 4 and 4y =20
System of equationGIven the system of equation given as:
x + y = 4
-3x + y = 8
If Megan multiplies the first equation by 3 then add the result to the second equation, the resulting equation will be:
3x + 3y = 12
-3x + y = 8
Adding both equation
3y + y = 12 + 8
4y = 20
Hence the resulting equation will be x + y = 4 and 4y =20
Learn more on the system of equation here: https://brainly.com/question/13729904
5x + 3x = 83 help me please!
Answer:
[tex]x=\frac{83}{8}\text{ or}\ 10.375[/tex]
Step-by-step explanation:
Start by combining like terms:
[tex]5x+3x=83[/tex]
[tex]8x=83[/tex]
Divide both sides by 8
[tex]x=\frac{83}{8}[/tex]
