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3 years ago

What are three consecutive odd integers such that the third is nine more than twice the sum of the first and second

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

5 0

Answer: There is more than one answer, any of these will do

3, 5, 25

5, 7, 33

7, 9, 41

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Plzzz help plzzzzzzzzzzzzzz

mezya [45]

Given:

The figure of two quadrilaterals.

In $ABCD,AB=18,BC=20,CD=22,AD=24$

In $EFGH,EF=27,FG=30,GH=34, EH=36$

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

$\dfrac{AB}{EF}=\dfrac{18}{27}$

$\dfrac{AB}{EF}=\dfrac{2}{3}$

Similarly,

$\dfrac{BC}{FG}=\dfrac{20}{30}$

$\dfrac{BC}{FG}=\dfrac{2}{3}$

$\dfrac{CD}{GH}=\dfrac{22}{34}$

$\dfrac{CD}{GH}=\dfrac{11}{17}$

And,

$\dfrac{AD}{EH}=\dfrac{24}{36}$

$\dfrac{AD}{EH}=\dfrac{2}{3}$

Clearly, $\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}$ .

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

7 0

3 years ago

Which expressions have a variable tat is squared or cubed? Choose ALL that apply.

Ann [662]

Answer: n^3 and a^2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Estimate the values to complete the table.

lbvjy [14]

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$ = 0.97

sin(∠C) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$ = 0.26

tan(∠C) = $\frac{\text{Adjacent side}}{\text{Adjacent side}}$ = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

= sin(∠C)

= 0.26

sin(∠A) = sin(90 - ∠A)

= cos(∠A)

= 0.97

tan(∠A) = $\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}$

= 3.73

Angle $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$ $\frac{\text{Opposite side}}{\text{Hypotenuse}}$ $\frac{\text{Opposite side}}{\text{Adjacent side}}$

A 0.26 0.97 3.73

3 0

3 years ago

HELP THIS IS DUE TODAY !!!!!

Novosadov [1.4K]

Answer: 1. y=4

Step-by-step explanation:

for 1. if x = -2 then the problem becomes -2(y) = -8 and -2 x 4 = -8

8 0

3 years ago

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Nine pairs of data yield r=0.867 and the regression equation y=19.4+0.93x

Gwar [14]

Answer:

Step-by-step explanation:

Regression analysis is the relationship among one dependent variable and one or more independent variables. Method of regression is used in finance, investing, and other disciplines.

Given:

Nine pairs of data yield and the regression equation $y=19.4+0.93x$

To find:

the best predicted value of y for $x=20$

Solution:

$y=19.4+0.93x$

Put $x=20$

$y=19.4+0.93(20)\\=19.4+18.6\\=38$

6 0

3 years ago