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2 years ago

Find the area of the trapezoid

Mathematics

2 answers:

katovenus [111]2 years ago

4 0

Answer: 49 in^2

Step-by-step explanation:

Trapezoid area formula = (a+b/2) x h

So...

(5+9/2) x 7

= 49 in^2

hammer [34]2 years ago

3 0

$\huge \boxed {\longmapsto\mathcal {\purple {Answer}}}$

Area of trapezoid :

$\boxed{ \frac{1}{2} \times sum \: of \: parallel \: sides \times height }$

=》

$\boxed {\frac{1}{2} \times (9 + 5) \times 7}$

=》

$\boxed {\frac{1}{2} \times 14 \times 7}$

=》

$\boxed{7 \times 7}$

=》

$\boxed{49}$

$\boxed {\mathfrak{area = 49 \:in {}^{2} }}$

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What is the measure of angle BXF?

tamaranim1 [39]

Answer:

BXF = 75

Step-by-step explanation:

We know that CXE is a straight line

A straight line is 180 degrees

CXE = CXG + GXD +DXE

Substituting what we know

180 = 85+ GXD + 20

Combine like terms

180 = 105+GXD

Subtract 105 from each side

180-105 = 105-105 +GXD

75 = GXD

GXD and BXF are vertical angles

GXD = 75 which means BXF = 75

7 0

3 years ago

Read 2 more answers

X2 – 7x + 6 = -8 solve using factoring

murzikaleks [220]

Answer:

Step-by-step explanation:

Rewrite this in standard quadratic equation form: x^2 - 7x + 6 + 8 = 0, or x^2 - 7x + 14 = 0. This does not factor easily, so I will use the quadratic formula to find the roots and then write out the factors based upon the roots:

The discriminant is b^2 - 4ac, which here is (-7)^2 - 4(1)(14) = -7.

Because the discriminant is negative, we know that there are two unequal, complex roots. They are:

-(-7) ± i√7 7 ± i√7

x = ----------------- = ---------------

2 2

One factor is (x - [1/2]{7 ± √7} )

7 0

2 years ago

Nadia is a stockbroker. She earns 11% commission each week. Last week, she sold 7,200 worth of stocks. How much did she make las

elena55 [62]

Answer:

She made 792 dollars that week. I'm assuming it is just asking for the yearly commission she made. That would be 41,184 dollars a year.

Step-by-step explanation:

7200 x 0.11 = 792 Weekly

52 Weeks in a year

792 x 52 = 41184 Yearly (if that's what it's asking for)

6 0

3 years ago

Plzzzzzzzzzzzz help me

grigory [225]

Answer:

y=-3/2x+6

Step-by-step explanation:

You can find the slope by taking two points on the graph, and making the one that occurs earlier in the graph (from left to right) the first point (x1, y1) and the one that occurs later in the graph the second point (x2, y2). The equation is m (or slope)=(y2-y1)/(x2-x1). I took the first two points in the table for this. m=(12-18)/-4-(-8)

the double negative on the bottom becomes an addition=> (12-18)/(-4+8)

the top simplifies to be -6 and the bottom simplifies to 4=>-6/4

this fraction can be reduced to -3/2, which is the slope of the graph.

Now, use point slope form (y-y1=m(x-x1)) to find the equation of the graph. Plug any coordinate on the graph in for x1 and y1 here. It should be correct as long as it is a point on the graph, but I am using the point (-8, 18) here.

=>y-18=-3/2(x-(-8))

the double negative in the parentheses becomes a positive=> y-18=-3/2(x+8)

distribute the -3/2 to every term in the parentheses=> y-18=-3/2x-12

add 18 to both sides, cancelling out the -18 on the left side of the equation=>y=-3/2x+6 (-12+18=6 to get 6 for b).

Therefore, the equation is y=-3/2x+6

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2 years ago

The sum of two numbers is 110. The larger number is 2 less than 7 times the smaller. Find the larger number.

kumpel [21]

We call two numbers a and b, notice a>b
The sum of two numbers is 110: a+b=110
The larger number is 2 less than 7 times the smaller: a=7b-2
And by replacing a=7b-2 we have an equation: 7b-2+b=110
or 8b=110+2, and 8b=112, that means b=112:8= 14

We have two numbers: 14 and 96

5 0

3 years ago