Answer:
x=-1
y=-1
Step-by-step explanation:
-6x + 5y =1 ......equation (1)
6x + 4y = –10 ......equation (2)
adding equation (1) to equation (2)
9y=-9
9y/9 =-9/9 (dividing both side by the coefficient of y)
y=-1
subtituting the value of y =-1 into equation (2)
6x+4(-1)=-10
6x+(-4)=-10
6x-4=-10
6x=-10+4(making constant to be at one side and the variable at the other side)
6x=-6
x=-6/6
x=-1
Answer:
See explanation
Step-by-step explanation:
1. Angles AOM and MOC are supplementry angles. If m∠MOC = 135°, then
m∠AOM = 180° - 135° = 45°
2. OM − angle bisector of ∠AOB, then
m∠AOM = m∠MOB = 45°
3. Now
m∠BOC = m∠MOC - m∠MOB
m∠BOC = 135° - 45° = 90°
4. Since m∠BOC = 90°, BO is perpendicular to AC.
5. Consider isosceles triangle ABC (because AB ≅ BC). BO is the height drawn to the base, so it is an angle B bisector too, thus
∠ABO ≅ ∠CBO
The measures of the legs of the right triangle are:
X = 2.5
Y = 4.3
<h3>
How to find the values of x and y?</h3>
In the image, we can see a right triangle with a hypotenuse with a value of 5, and a known angle.
To find the values of X and Y (the legs of the triangle) we can use the two relations:
Sin(a) = (opposite cathetus)/(hypotenuse)
Cos(a) = (adjacent cathetus)/(hypotenuse)
In this case, we have:
a = 30°
hypotenuse = 5
opposite cathetus = X
adjacent cathetus = Y.
Replacing that in the relations we get:
Sin(30°) = X/5
Sin(30°)*5 = X = 2.5
cos(30°) = Y/5
cos(30°)*5 = Y = 4.3
Learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer
a. The backpack is $4.50
b. The sweatshirt is $2.70
Step-by-step explanation:
a. 30 x 0.15 = 4.50 (The 0.15 is from the price you are actually paying for the item. Because the item is 85% off, you are paying for 15% of the usual price. 15% as a decimal is 0.15 so you multiply that to the original price to find the amount u will pay.)
b. 18 x 0.15 = 2.70
The question is asking.. Of the total income that Madeleine gets, what percent of it goes to Madeleines expenses.
The way you solve this is divide the total expenses by the total income and multiply by 100.
1840/2020= .9109 .9109*100= 91.09%
