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3 years ago

All sides are congruent in quadrilateral ABCD below.

Mathematics

1 answer:

emmainna [20.7K]3 years ago

3 0

Answer:

rhombus; Measure of angle B = 70 degrees

Step-by-step explanation:

The shape is a rhombus. Angle B and angle A are supplementary, so they add up to 180 degrees.

110 + B = 180

B = 180 - 110

B = 70

It is a rhombus because all sides are equal.

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Solve the equation, and check the solutions √(x+6)=3.

posledela

Answer:

The solution is $x = 3$

Step-by-step explanation:

We have the following equation:

$\sqrt{x+6} = 3$

Elevating both sides to 2, we can isolate x

$\sqrt{x+6}^{2} = 3^{2}$

$x + 6 = 9$

$x = 9 - 6$

$x = 3$

Checking

$\sqrt{x+6} = \sqrt{3+6} = \sqrt{9} = 3$

8 0

3 years ago

Which inequality matches the graph?

Papessa [141]

Given:

The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).

Above line is shaded.

To find:

The inequality for the given graph.

Solution:

Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-(-2)=\dfrac{10-(-2)}{9-1}(x-1)$

$y+2=\dfrac{10+2}{8}(x-1)$

$y+2=\dfrac{12}{8}(x-1)$

$y+2=\dfrac{3}{2}(x-1)$

Multiply both sides by 2.

$2(y+2)=3(x-1)$

$2y+4=3x-3$

$2y-3x=-3-4$

$-3x+2y=-7$

Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.

$-3x+2y>-7$

This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.

$(-3x+2y)(-1)$

$3x-2y$

Therefore, the correct option is D.

8 0

3 years ago

Describe the position of all the points on the number line that are

zimovet [89]

A. all number greater than a will be to the RIGHT of a

b. all numbers less than a will be to the LEFT of a

3 0

3 years ago

An ice cream recipe calls for 6 cups of cream for 7 1/2 gallons. How many cups of cream are needed for 11 1/4 gallons?

denpristay [2]

Answer:

9 cups

Step-by-step explanation:

Since every 6 cups have 7 1/2 gallons, you would divide 7 1/2 gallons by cups which gets you 1.25 as an answer. After you have found out that, then you would divide all 4 of those answers by 11 1/4 gallons, and if your answer is 1.25, well then that is your answer to the question, so it would be 9 cups in this case.

5 0

1 year ago

Read 2 more answers

Write a linear function f with the values f (-1)=-8 and f (0)=-3

chubhunter [2.5K]

Answer:

f(x)=5x-3

Hope this helps ;)

8 0

2 years ago