Answer:
X = -4 and Y = 1 (sorry if wrong im only in 6th grade ;(
Step-by-step explanation:
X - 7Y = -11 ......(i)
5X + 2Y = -18 ........(ii)
multiply equation (i) by 5 we get 5X - 35Y = -55 ....(iii)
subtract equation (ii) from (iii)
we get -37Y = -37 ⇒ Y = 1
now put the value of Y from above in equation (i)
we get X = -4
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In this problem situation:
- the independent quantity is <em><u>the money</u></em> Angela's grandfather gave her
- the dependent quantity is the <em><u>number of raffle ticket</u></em> Angela will buy.
An independent quantity is the quantity that affects or brings a change in a dependent quantity.
The dependent quantity is affected by the independent quantity. If the independent quantity changes, the dependent quantity will change.
The dependent quantity is dependent on the independent quantity.
<em><u>Let's relate it to the </u></em><em><u>problem situation</u></em><em><u>:</u></em>
- The amount of money Angela's grandfather gave her is unknown, therefore, the number of raffle tickets Angela can buy cannot be ascertain.
- If we know <em>how much Angela's grandfather gave her</em>, we can determine <em>how many </em><em>raffle tickets </em>Angela can buy.
- This implies that the number of raffle ticket Angela will buy is dependent on how much money her grandfather gave her.
Therefore, in this problem situation:
- the independent quantity is <em><u>the money</u></em> Angela's grandfather gave her
- the dependent quantity is the <em><u>number of raffle ticket</u></em> Angela will buy.
Learn more here:
brainly.com/question/19967540
Answer:
The lowest terms equivalent to - 1.25 = - 
Step-by-step explanation:
- 1.25 = - 
= - ( 1 × 100 +25) ÷ 100
= -( 
) × (
= - 
= - () × (
= -
Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.
To find the form of the case we need to know about the triangle congruence theorem.
<h3>What is triangle congruence theorem?</h3>
Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
- Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.
- Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent.
- Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.
Given information-
Evelyn is 104 meters from the take off.
The angle of elevation of the plane is 12°.
The plane is 100 meters away from the takeoff point.
The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).
Thus the two triangle formed which are congruent.
As above discussed the case of SAS exists for the triangle congruence theorem.
Hence the given information is the SAS case.
Learn more about the triangle congruence theorem here;
brainly.com/question/19258025
