Answer:
The system has no solutions.
Step-by-step explanation:
If you stare at it for the bit you can tell the system is impossible. Let's see why:
First of all, rewrite the second equation by bringing all unknowns on the LHS:
[tex]4x+6y=5[/tex].
Then take twice the first equation, doubling every coefficient:
[tex]4x+6y=4[/tex] See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.
In a kite ABCD, AB=CB , AD = CD, <B= 115 degree, <D=30 degree. Find <A = ?
Answer:
The measure of ∠A = 107.5°
Step-by-step explanation:
Given that
ABCD is a kite such that
AB = BC and AD = DC
Join A and C
Since AB = BC
→ ∠BAC = ∠BCA
Since , the angles opposite to equal sides are equal.
Let ∠BAC = ∠BCA = x°
and
Since AD = DC
→ ∠CAD = ∠ACD
Since , the angles opposite to equal sides are equal.
Let ∠CAD = ∠ACD = y°
Now
In ∆ ADC ,
∠ADC + ∠CAD + ∠ACD = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 30° + y°+ y° = 180°
⇛ 30°+2y° = 180°
⇛ 2y° = 180°-30°
⇛ 2y° = 150°
⇛ y° = 150°/2
⇛ y° = 75°
Therefore, ∠CAD = ∠ACD = 75°
and
In ∆ ABC,
∠ ABC + ∠BAC + ∠BCA = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 115° + x° + x° = 180°
⇛ 115°+2x° = 180°
⇛ 2x° = 180°-115°
⇛ 2x° = 65°
⇛ x° = 65°/2
⇛ x° = 32.5°
Therefore, ∠BAC = ∠BCA = 32.5°
Now, ∠ A = ∠BAC + ∠CAD
⇛ ∠A = 32.5° + 75°
⇛ ∠A = 107.5°
Therefore, ∠A = 107.5°
Answer:-
) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°Read more:
Similar Questions
ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.
https://brainly.com/question/22571892?referrer
Pls someone help asap! Only answer if you know the correct answer thanks!
Answer:
xx
Step-by-step explanation:
Write the equation of a line that is parallel to y = –5/4x +7
and that passes through the point -4.1).
Step-by-step explanation:
a general line equation is
y = ax + b
the slope of a line is always the factor of x (a).
it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here it is -5/4.
it says, when x changes by +4, then y changes by -5.
a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.
and we get it by using the point coordinates in the equation and then solve for b :
1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b
b = -4
so, the full equation of the parallel line is
y = -5/4x - 4
A half gallon of milk costs $1.89. Based on this price, about how much would 12 gallons of milk cost?
Answer:
45.36
Step-by-step explanation:
pleas mark brainlest
Answer:
$22.68
Step-by-step explanation:
$1.89 times 12
Tisha is drawing stars in her notebook. She draws 999 stars on the first page, 999 stars on the second page, 999 stars on the third page, and 999 stars on the fourth page. What kind of sequence is this?
Answer:
The sequence is that, for every page 999 stars are drawn.
Step-by-step explanation:
999
999
999
999
3996
--
The evolution of 999 began when artist Juice WRLD decided to turn the evil number 6 into good... making and upside down 6 become a 9. Think of it as, "turn that frown upside down", or "turn evil into good".
Pls only help if you know the correct answer! Thanks!! :))
Answer:
The answer is 19.95$
Step-by-step explanation:
With the price being 3.50 per gallon
and irene had filled her car with 5.7 gallons
5.7 + 3.50 = 19.95$
joe mammamamamamamaamamamma
Answer:
this joke is getting old lol
Step-by-step explanation:
Please help me with this!! I will mark brainlist!!
Answer:
54°
Step-by-step explanation:
Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so [tex]72+x+x=180 \rightarrow 2x=108 \rightarrow x = 54[/tex]
The sum of two numbers is 64 Twice the larger number plus five times the smaller number is 20. Find the two numbers
Answer:
The numbers are 100 and -36.
Step-by-step explanation:
Let x be the larger number
64 - x be the smaller number
x + ( 64 - x ) = 64
2x + 5 ( 64-x ) = 20
2x + 320 - 5x = 20
-3x = -300
x = 100
64 - 100 = -36
What's the best first step in solving-4 + 2/5 > 5/10
Answer:
B
Step-by-step explanation:
There are 2 operations happening on the left side to x.
1. x is being multiplied by -4.
2. 2/5 is being added to -4x.
If you had a number for x, and you wanted to evaluate the left side, first, you would multiply the value of x by -4. Then you would add 2/5.
To solve an equation or an inequality, you do the opposite operation in the opposite order.
Since the second operation was add 2/5, to solve, you start by doing the opposite of the second operation. That means you subtract 2/5 from both sides.
Answer: B
b
– 2 =
7
8
Write your answer as a fraction or as a whole or mixed number.
b =
Answer:80
Step-by-step explanation:
If angle pqr is isosceles, what is the measure of angle Q?
The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given isosceles triangle.
The angles opposite to equal sides in the isosceles triangle will be the same.
Thus, m∠P -= m∠Q
5x + 8 = 9x - 40
9x - 5x = 8 + 40
4x = 48
x = 12°
Thus, m∠Q = 9(12) - 40 = 68°.
Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".
For more information about triangles,
https://brainly.com/question/2773823
#SPJ2
In a parallelogram ABCd, angle a + angle b = ?
Answer:
180
Step-by-step explanation:
Easy way: they're conjugate angles relative to the two parallel sides and the trasversal joining them, their sum is 180.
Longer(??) way: In a parallelogram two opposite angles are congruent. Since the sum of the internal angles is 360, a pair of two different angles must sum to 180.
Step-by-step explanation:
In a Parallelogram ABCD , ∠ A + ∠B = 180°
Since , The Adjacent angles in a Parallelogram are Supplementary.
Additional comment:
• In a Parallelogram, Opposite angles are equal
•The sum of two adjacent angles is 180° called Linear pair.
Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0,1]. lim n tends to infinity 1/n(1/n^1/2+2/n^1/2+3/n^1/2+.....n/n^1/2)
Answer:
so67 =9
Step-by-step explanation:
Find the equation of a line that passes through (1,9) and is parallel to the graph of y=3x+4. Write the equation in slope-intercept form, if possible. Select the correct choice below and fill in the answer box to complete your choice. The equation of the parallel line in slope-intercept form is
enter your response here.
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
B.
The equation of the parallel line cannot be written in slope-intercept form. The equation of the parallel line is
enter your response here.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
if "-3(y-10=9" what is the value of y-12
Answer:
the correct answer is -5 since y=7
!!NEED ASAP!!
The London Eye is Europe's
largest Ferris wheel with a
diameter of 120 meters. It takes
30 minutes for the wheel to make
one full rotation. If the wheel is
running continuously, how far will
a passenger travel in 40 minutes?
Round your answer to
the nearest tenth.
Diameter = 120m
Circumference = (120 · π) m
(40 min) / (30 min/rotation) = 4/3 rotation
Passenger travel = (4/3) · (120π) = 160π meters = 502.7 meters
Will give brainliest if right
Answer:
2) Both are decreasing
5) Function I has a greater y-intercept than function II
Step-by-step explanation:
[] They both have negative unit rates / slope (m is the slope in y = mx + b)
[] -2 is larger than -6, so function I has a greater y-intercept than function II (b is the slope in y = mx + b)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
(Please please, actually type the answer and dont send it in a file because it wont work)
A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 92 m. What is the volume of the pyramid?
Answer: like 36 i think
Step-by-step explanation:
Answer:
14168
Step-by-step explanation: just multiple
1. Susan completed her journey of running in 10 minutes. If she ran 85 miles, how many
minutes did she run in one minute?
Answer:
850 this what I think it is
Step-by-step explanation:
that's what I think I don't know if that's the right answer
Answer:
8.5
Step-by-step explanation:
divide 10 by 10 to get to 1
divide 85 by 10 and u get 8.5
1=8.5
Factorise: 3x²+17x+10
Answer:
(3x+2) (x+5)
Step-by-step explanation:
3x²+17x+10
SPLITTING OF MIDDLE TERM
3x²+15x+2x+10
COMMON FACTOR FROM PAIRS
3x(x+5) + 2(x+5)
= (3x+2)(x+5)
URGENT!!!! UNIT 4 CONGRUENT TRIANGLES
HOMEWORK 6 PROVING TRIANGLES CONGRUENT: ASA AAS AND HL
As per the question there are four congruent tringles and these congruency is that all sides are equal in length and size.
The four triangles are ASA, AAS and HL. The ∠BD divides ∠ABD. ∠BDA is equal to ∠BCD as given. In second, ST is parallel to UN and congruent to VU. That is also given. In the third statement the FH bisects the ∠EHG. FRH is congruent to FGH. Hence given.Learn more about the PROVING TRIANGLES CONGRUENT: ASA AAS AND HL.
brainly.com/question/25544949.
solve the simultaneous equation y+1=2x y^2=3x-2
[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]
[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]
4) Find the slope of the following
graph.
у
-2
o
B
Answer:
-6/13
Step-by-step explanation:
Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer
Answer:
His answer was correct:
(200*0.09)=18
18*16=288
200+288=488
Let ABC be an isosceles triangle with AB = AC and ∠BAC=30°. Side AB and the median AD contain points Q and P respectively (points P and Q are not at point A) in such a way that PC=PQ. Find m∠PQC.
Answer:
15°
brainlest
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
What is an equation of the line perpendicular to y =-3x - 5
that contains (-3,7)
Answer:
y=1/3x-5
Step-by-step explanation:
when it is perpendicular you just flip the -3x and he its reciprocal
Me podrian ayudar con estas equaciones de 2º grado pliss?
[tex]x^{2} +2x-15=0[/tex]
[tex]x^{2} -4x- 12=0[/tex]
Thankss
Step-by-step explanation:
Las ecuaciones dadas son ,
=> x² + 2x -15 = 0
Y necesitamos encontrar la solución de la Ecuación dada.
=> x² + 5x -3x -15 = 0
=> x(x+5) -3(x+15) = 0
=> (x+5)(x-3) = 0
=> x = 3,-5
La segunda ecuación es,
=> x² -4x -12 = 0
=> x² -6x+2x-12=0
=> x(x-6)+2(x-6) = 0
=> (x+2)(x-6) = 0
=> x = 6,-2
Espero eso ayude :)
DO NOT SEND LINKS OR I'LL REPORT! Find the value of X, it's a parallelogram. Offering 50 points
Answer:Whats the question or add a picture
Answer:
127 degree I guess because I don't see a picture
Step-by-step explanation:
is the picture showing 53 degrees
Find the missing angle measurement in each set of supplementary angles.
Answer:
126°
Step-by-step explanation:
180-54 = 126
Supplementary angles form 180°. Let's take the missing angle as 'x'.
54° + x° = 180°
x = 180° - 54°
x = 126°
=》 Angle LJK = 126°
______
RainbowSalt2222 ☔