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Troyanec [42]
3 years ago
12

Find the value of x if y =1/4x and 5x-8y=33​

Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Answer:

x=11

Step-by-step explanation:

y= 1/4x

5x-8y=33

5x-8(1/4x)=33

x=11

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What can I learn in finding the sum of consecutive numbers?
Helga [31]

Answer:

By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.

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3 years ago
The quadrilaterals JKLM and PQRS are similar.
Sveta_85 [38]

Answer:

x = 2.8

Step-by-step explanation:

If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:

KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7

JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7

LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7

This shows that the ratio of KJ : QP = 5/7

KJ : QP = 2 : x = 2 / x

Therefore, \frac{2}{x}=\frac{5}{7}

cross multiply:  14 = 5x

Divide both sides by 5:  x = 2.8

8 0
2 years ago
triangle abc has vertices at a(-2 3),B(0,3),c(-1,-1). Find the coordinates of the image after a reflection over the x-axis.
Crazy boy [7]

The new coordinates of the triangle after reflection from x-axis would be  A(-2, -3) , B(0, -3) and C( -1, 1 )

<u>Explanation:</u>

The vertices of the triangle are A(-2 3), B(0,3), C(-1,-1)

The reflection is over the x-axis.

When the reflection is along the x-axis, the coordinates of x does not change. However, the coordinates of y does change.

The negative value of y becomes positive and the positive value of y becomes negative.

Similarly,

A(-2, 3) would become A(-2, -3)

B(0, 3) would become B(0, -3)

C(-1, -1) would become C( -1, 1 )

Therefore, the new coordinates of the triangle after reflection from x-axis would be  A(-2, -3) , B(0, -3) and C( -1, 1 )

6 0
3 years ago
Ben dives from a 10-foot platform. the equation h = -16 t 2 27t 10models the dive. how long will it take ben to reach the water?
klio [65]
So i'm assuming your eqtn is    h = -16t^2 + 27t + 10
and we're looking for t = ?    when  h = 0

=>  16t^2 - 27t - 10 = 0
        (16t + 5)(t - 2) = 0

t = 2  and t = -5/16

answer  2 seconds
3 0
3 years ago
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