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1 year ago

Find the missing values

Mathematics

1 answer:

gtnhenbr [62]1 year ago

7 0

Answer:

D = 118* and C = 149*

Step-by-step explanation:

just extend the line AD and BC downwards and use the straight line of 180* property.

all angles of a trapezium add up to 360*

62+31+118+149=360

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In the figure shown to the right, two angle measurements are given. Determine the others.

creativ13 [48]

The figure is shown below

From the figure

Angle 150 degree and angle p forms angles on a straight

Since the sum of angles on a straight line equals 180 degrees

Hence

$150^{\circ}+p=180^{\circ}$

Solve for p in the equation

$\begin{gathered} p=180^{\circ}-150^{\circ} \\ p=30^{\circ} \end{gathered}$

Hence, p = 30

From the figure

Angle p and angle q are vertically opposite angles

Since vertically opposite angles are equal then

$p=q=30^{\circ}$

Hence, q = 30

Applying the rule of angles on a straight line

This implies

$q+w+60=180$

Substitute q = 30 into the equation

$30+w+60=180$

Solve for w

$\begin{gathered} w+90=180 \\ w=180-90 \\ w=90 \end{gathered}$

Hence, w = 90

8 0

6 months ago

The grocery store charges $6.85 for 5 bags of potatoes.if someone bought 7 bags of potatoes, how much would it cost them

Hoochie [10]

Answer:

$9.59 for 7 bags of potatoes

Step-by-step explanation:

First you find the unit rate by dividing 6.85 by 5.

The unit rate should equal $1.37.

Then you multiply that and 7 which equals $9.59

4 0

2 years ago

Please help asap 25 pts

damaskus [11]

$\text{The formula of a perimeter of a rectangle:}\\\\P=2(w+l)\\\\\text{we have}\\w:l=3:2\to w=\dfrac{3}{2}l,\ P=55\ cm\\\\\text{substitute}\\\\55=2\left(\dfrac{3}{2}l+l\right)\\\\55=2\cdot\left(\dfrac{3}{2}l+\dfrac{2}{2}l\right)\\\\55=2\cdot\dfrac{5}{2}l\\\\55=5l\ \ \ \ \ |:5\\\\l=11\ cm\\\\w=\dfrac{3}{2}\cdot11=\dfrac{33}{2}=16.5\ cm\\\\Answer:\ b.\ 11\ cm,\ 11\ cm,\ 16.5\ cm,\ 16.5\ cm$