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Ugo [173]
3 years ago
10

Sebastian programs his calculator to cvaluate a linear

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer: y = 3/4x

Step-by-step explanation:

Each y-value output is 3/4 of the x-value inputted.

8 x 0.75 = 6

12 x 0.75 = 9

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In a kite ABCD, AB=AD, BC=CD; CAD=40° and
notka56 [123]

Answer: See below

Step-by-step explanation:

From the figure attached below,

We know that by the SSS property, the two triangles are congruent

$$Since,$$\begin{aligned}&A D=A B(\text {Given}) \\&C D=B C(\text {Given}) \\&A C=A C \text { (Common side})\end{aligned}$$Hence,$$\triangle A B C \cong \triangle A C D$$By the properties of congruence,$$\angle O A D=\angle O A B=40^{\circ}$$$$\angle B=\angle D$$

Using the property of congruence to find the measure of all these angles:

Therefore, the measure of the angles are:

&a) \ B\widehat{ A} C=40^{\circ} \\ b) \ &B\widehat{C}A=180^{\circ}-\left(90^{\circ}+60^{\circ}\right)=30^{\circ} \\c) \ &A \widehat{D} C=60^{\circ}+50^{\circ}=110^{\circ}

4 0
2 years ago
Solve the system of equations using matrices. x+7y=02x−8y=22 Question 7 (Mandatory) (1 point) Step 1. Find the coefficient matri
Alex Ar [27]

Answer:

x=7

y =-1

Step-by-step explanation:

Given is a system of equations in x and y as

x+7y=0\\2x-8y =22

This can be written in matrix form as

Ax = B

\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}0\\22\end{array}\right]

Let us find inverse of A

|A| = -8-14 =-22

A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right]

X= A ^(-1) B

x=7, y =-1

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3 years ago
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