Answer:
3x-x+6=0
2x+6=0
2x=-6
x= -6/2
x=. -4
6. Andre and Clare are discussing triangle ABC that has a right angle at C and a
hypotenuse of length 15 units. Andre thinks the triangle could have legs that are 9 and
12 units long. Clare thinks angle B could be 20 degrees and then side BC would be 14.1
units long. Do you agree with either of them? Explain or show your reasoning.
Answer:
BOTH ARE CORRECT
Step-by-step explanation:
Given that:
Triangle ABC Is right angled ;Angle ABC
Hypotenus = 15
If legs are 9 and 12 units long ;
From Pythagoras :
9² + 12² = hypotenus²
81 + 144 = 225²
2.) if:
B = 20° ; BC = will be
Using :
Cos θ = BC / 15
Cos 20 = BC / 15
BC = Cos 20 * 15
BC = 0.939692 * 15
BC = 14.09
BC = 14.1
Angles A and Care supplementary. Find the measure of angle C.
There is a picture
Answer:
106 degrees
Step-by-step explanation:
180 -74 = 106
The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
What are supplementary angles?Two angles are said to be supplementary angles when they add up to 180 degrees.
Two angles are supplementary, if
a). one of its angle is an acute angle and another angle is an obtuse angle.
b). both of the angles are right angles.
This means that if A and B are the two angles then
[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees
According to the given question we have
angles A and C are supplementary
and, [tex]m[/tex]∠A = 74 degrees
therefore,
the measure of angle C is calculated as
[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees (sum of the supplementary angles)
74 + [tex]m[/tex]∠C = 180 degrees ( [tex]m[/tex]∠A = 74 )
[tex]m[/tex]∠C = (180 - 74)degrees ( subtracting 74 degrees both the sides)
[tex]m[/tex]∠C = 106 degrees
Hence, second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
Learn more about the supplementary angles here:
https://brainly.in/question/1288078
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This another nae for fraction or quotient.It can also be written in the forms 'a:b' and a to b', where a and b are numbers.
Answer:
The answer is "Ratio".
Step-by-step explanation:
A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.
It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.
write the slope intercept form of the equation with the given slope and y-intercept.
1. Slope= -10, y- intercept = -5 2. Slope= - 9/5, y- intercept = -4
3.Slope= -5/4, y- intercept = 5 4. Slope= 7, y- intercept = 5
Answer:
1. y = -10x - 5
2. [tex]y = \frac{9}{5}x - 4[/tex]
3. [tex]y = -\frac{5}{4}x + 5[/tex]
4. y = 7x + 5
Step-by-step explanation:
use y = mx + b
m = slope
b = y-intercept
1. Slope= -10, y- intercept = -5
y = -10x - 5
2. Slope= - 9/5, y- intercept = -4
[tex]y = \frac{9}{5}x - 4[/tex]
3. Slope= -5/4, y- intercept = 5
[tex]y = -\frac{5}{4}x + 5[/tex]
4. Slope= 7, y- intercept = 5
y = 7x + 5
Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original number
Answer:
23.3 is the answer to this question
I will give brainiest. There is 1/ 3 gallon of water in a 3-gallon container. What fraction of the container is filled?
The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x.
The length of a rectangle is 3 times as big as the width. Length = 3x
New width = x + 4
New length = 3x + 4
The new area will be:
a = (3x + 4)(x + 4)
a = 3x² + 12x + 4x + 16
a = 3x² + 16x + 16
find the length of side x in simplest radical form with a rational denominator 60 30 x 2
Answer:
x = √3
Step-by-step explanation:
Looking at the given triangle,
x is the adjacent side while 2 represents the hypotenuse side.
Now, from trigonometric ratios, we know that;
Adjacent/hypotenuse = cos θ
The angle here will be 30°
Thus;
x/2 = cos 30°
We are told to find x in simplest radical form with a rational denominator.
Thus means we will use the surf value of the angle.
cos 30° in surd form = (√3)/2
Thus;
x/2 = (√3)/2
x = 2 × (√3)/2
x = (√3)/1
x = √3
When buying tickets to a play online, they cost $12.75 per ticket plus a $12 fee per order. When buying tickets at the box office, they cost $15.75 per ticket. The total cost, c, of n people buying tickets for the play using either method to purchase tickets can be represented by an equation. Write the system of equations. Choose the correct answer below.
Answer:
Step-by-step explanation:
c=12.75n+12
c=15.75n
=4
An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS
Answer:
The other angles can be 56°, 68°, or 62°.
Step-by-step explanation:
If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°
If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.
The other angles can be 56°, 68°, or 62°.
3(2h+5)+4 so i dont get what it is, can someone help please?
Answer:
An linear equation in one variable
Step-by-step explanation:
Variable:h
Equation:6h+19
can someone please help its due soon.ill give brainliest!
Answer:
z = 17.5
Step-by-step explanation:
To get the value of z, we use the bisector theorem
7/z = 6/15
6z = 7 * 15
6z = 105
z = 105/6
z = 17.5
How is adding and subtracting rational numbers similar and different than adding and subtracting integers?
Answer and explanation:
A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc
An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc
Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:
1/2+3/1= 1+6/2=7/2=2 1/2
When adding intergers 2+4, we add normally as in the number line = 6
i honestly forgot how to solve this
Answer:
c must be -4
Step-by-step explanation:
x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.
The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.
Substituting -5 for b and 1 for a, we get:
(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16. Thus, c must be -4, and the quadratic is
x^2 - 5x - 4
If you answer I’ll make you the brainiest
Answer:
the second one
Step-by-step explanation:
if it is right pls mark brainliest thanks :)
Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?
construct the incenter
construct the orthocenter
estimate the best place
construct the circumcenter
===========================================================
Explanation:
Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.
This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.
To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.
-------------
Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.
The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip
Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
[tex]d^2 = l^2 + l^2[/tex]
[tex]d^2 = 2l^2[/tex]
Take positive square root of both sides
[tex]d = \sqrt{2l^2}[/tex]
Split:
[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]
[tex]d = \sqrt{2} *l[/tex]
Recall that the side length (l) is rational.
However, [tex]\sqrt 2[/tex] is irrational.
So, the product of l and [tex]\sqrt 2[/tex] will be irrational
Hence:
The diagonal is irrational
-10(d+1)=-14
What is the value of d
Answer:
[tex]d=\frac{2}{5}[/tex]
Step-by-step explanation:
-10 (d+1) = -14
-10d -10 = -14
-10d = -14 + 10
-10d = -4
d = 4/10
d= 2/5
-12x2 – 16x
Help me with this please
Answer:
-4x(3x+4)
Step-by-step explanation:
You have to undo the problem, I will show you how this problem looks if you solve it (the answer i guess? id.k it is hard to explain any other way)
So first we use distributive property-
-4x *3x=-12x^2
-4x*4=-16x
-12x^2-16x And now we have the problem we started with!
Answer:
its -4x(3x+4)
Step-by-step explanation:
thank you!!! 20 points
Answer:
Assuming that the figure is a rectangle:
x=12
angle GJH=22 degrees
Step-by-step explanation:
angle GHJ=angle IJH
5x+8=7x-16
simplify
2x=24
x=12
angle IJH=7x-16
substituting for x
IJH=7(12)-16=84-16=68 degrees
angle GJH=90-IJH
angle GJH=22 degrees
a(-6)=-42
solve for a
Answer:
7
Step-by-step explanation:
Answer:
A = 7
Step-by-step explanation:
You would take -42/-6 because that will tell you what x -6=-42
-42/-6 = 7
Also. you have to remember that a negative divided or multiplied by a negative = a positive
What is the value of z?
=
Answer:
[tex]z=133/6[/tex]
Step-by-step explanation:
All angles in a triangle added up are equal to 180 degrees.
We can make the equation:
[tex]2z+4z+47=180\\6z+47=180\\6z=133\\z=133/6[/tex]
Answer:
Step-by-step explanation:
We have 3 angles, 2z, 4z, 42
the sum of these angles equal to 180
2z+4z+42=180
6z=180-42
6z=138
z=138/6=23
z=23
Jon makes $76 in 12 hours of work for his mom. How much would Jon make in 20 hours of work.
Answer:
around 126
Step-by-step explanation:
Arial
14
+
BI U A
16
A new Apple Watch costs $369. If the watch is
on sale for 15% off, what is the sale price?
Answer:
the answer would be 55.39
A ride in a taxi costs a flat rate of $4.25 and $1.75 per mile.
If my bill was $14.75, how many miles did I ride?
Answer:
6
Step-by-step explanation:
take 14.75 and minus the flat rate of 4.25 and then divide the 1.75 per mile and you get that you rode 6 miles
Find the value of x.
Answer:
Step-by-step explanation:
8/18=x/24
18x=192
x=10.667(correct to three decimal places)
2.5(4p-16) simplified
Answer:
10p-40 = 10(p-4) this is the answer of this question
Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x
x/2 + 7 = 12 what color
Answer:
Red
Step-by-step explanation:
it is 10
please answer quick! I will give brainliest! The figure below shows the front side of a purse in the shape of a trapezoid. Find the area of the trapezoid. Be sure to use the proper area formula from your lesson notes!
Make sure to show your work and explain the steps you took in solving the problem using the words “first,” “next,” and “last.”
Answer:
the area is 110. the formula for a trapezoid is A= a+b/2 × h.
A= a+b/2 ×h= A= 9+13/2×10=110
Use this and explain yourself