When two lines cross like this, sum of measures of opposite angles is 180.
this means that:
measure angle AEC + measure angle BED = 180
4x-40 + x+50 = 180
5x +10 = 180
5x = 170
x = 34
therefore:
measure angle AEC = 4x-40 = 4(34)-40 = 96
measure angle BED = x+50 = 34+50 = 84

5 0

4 years ago

In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint

NeTakaya

Step-by-step explanation:

Given: X is midpoint of UV and Y is midpoint of VW.

$\therefore XY || UW$

(By mid-point theorem)

$\therefore \angle XYV \cong \angle UWY\\.. (corresponding\: \angle 's) \\\therefore m\angle XYV = m\angle UWY\\\therefore 98 - 6x = 63- x\\\therefore 98 - 63= 6x- x\\\therefore 35= 5x\\\\\therefore x = \frac{35}{5}\\\\\huge \orange {\boxed {\therefore x = 7}} \\\\m\angle UWY = (63 - x) °\\\\\therefore m\angle UWY = (63 - 7) °\\\\\huge \purple {\boxed {\therefore m\angle UWY = 56 °}}$

5 0

3 years ago

Write a unit rate for: 12 pounds for $17.88.

Vika [28.1K]

Answer:

.67

Step-by-step explanation:

12/17.88=.67

8 0

3 years ago

Divya also wants to make fruit smoothies for dessert. She purchases

Slav-nsk [51]

Answer:

$17.97

Step-by-step explanation:

add everything up

- bananas: 6(0.75) = $4.50

- rice milk: $3.49

- strawberries: 2(4.99) = $9.98

5 0

3 years ago

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